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All questions of Problem Solving for SSC CGL Exam
Eddie is 7 years older than Brian. If Brian is x years old, then how old was Eddie 11 years ago?- a)x - 18
- b)x - 4
- c)x - 7
- d)7x - 11
- e)x + 18
Correct answer is option 'B'. Can you explain this answer?
Eddie is 7 years older than Brian. If Brian is x years old, then how old was Eddie 11 years ago?
a)
x - 18
b)
x - 4
c)
x - 7
d)
7x - 11
e)
x + 18
|
Malavika Choudhury answered |
We can model this by getting Eddie’s age now and then figuring out how old he was 11 years ago. Right now, he is x+7 . Eleven years ago, Eddie was x + 7 -11 = x - 4 years old. This is answer B.
a. The correct calculation should be x+ 7 (to get Eddie’s age now) - 11 , which is x - 4 .
b. Correct
c. This is an incorrect calculation of Eddie’s present age.
d. This response does not relate their ages properly.
e. This also does not express their age relationship properly.
a. The correct calculation should be x+ 7 (to get Eddie’s age now) - 11 , which is x - 4 .
b. Correct
c. This is an incorrect calculation of Eddie’s present age.
d. This response does not relate their ages properly.
e. This also does not express their age relationship properly.
A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?- a)42
- b)210
- c)420
- d)840
- e)5040
Correct answer is option 'C'. Can you explain this answer?
A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?
a)
42
b)
210
c)
420
d)
840
e)
5040
|
|
Sanskriti Ahuja answered |
Step 1: Analyze the Question :- We have to make a seven-letter code, but some of our letters are repeated. We have three As two Bs, one C, and one D. We have to calculate the possible number of different codes.
Step 2: State the Task :- We'll calculate the number of permutations, remembering to take the repeated letters into account.
Step 3: Approach Strategically :- To calculate the number of permutations where some of the elements are indistinguishable, we'll divide the total number of permutations by the factorial of the number of indistinguishable elements.
So we have :-
In a Christmas sale, the prices of Dell Laptops were reduced by 10% for public. However, for Dell employees, the price was further reduced by 5%. If the original price of a laptop was $330 before Christmas sale, approximately how much would it cost in a Christmas sale to a Dell employee?- a)$271
- b)$277
- c)$282
- d)$287
- e)$295
Correct answer is option 'C'. Can you explain this answer?
In a Christmas sale, the prices of Dell Laptops were reduced by 10% for public. However, for Dell employees, the price was further reduced by 5%. If the original price of a laptop was $330 before Christmas sale, approximately how much would it cost in a Christmas sale to a Dell employee?
a)
$271
b)
$277
c)
$282
d)
$287
e)
$295
|
|
Navya Yadav answered |
Original Price = $330
Price after 10% discount= 330 * 0.9 = $297
Price after further 5% discount (for Dell employees) = 297* 0.95 = $282. Therefore, Option C.
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?- a)46/9
- b)50/9
- c)50/11
- d)36/7
- e)210/41
Correct answer is option 'D'. Can you explain this answer?
Working alone at their respective constant rates, A can complete a task in ‘a’ days and B in ‘b’ days. They take turns in doing the task with each working 2 days at a time. If A starts they finish the task in exactly 10 days. If B starts, they take half a day more. How long does it take to complete the task if they both work together?
a)
46/9
b)
50/9
c)
50/11
d)
36/7
e)
210/41
|
Lakshya Menon answered |
Given:
A can complete the task in 'a' days
B can complete the task in 'b' days
Approach:
1. Let's first calculate the fraction of work done by A and B in a day.
2. Then, we will calculate the fraction of work done by A and B in 2 days.
3. Using this information, we will calculate the number of days taken when they work together.
Calculations:
Fraction of work done by A in a day:
A completes 1/a of the work in a day
Fraction of work done by B in a day:
B completes 1/b of the work in a day
Fraction of work done by A and B in 2 days:
In 2 days, A completes 2/a of the work
In 2 days, B completes 2/b of the work
Given conditions:
When A starts, they finish the task in exactly 10 days.
A works 2 days at a time, so in 10 days, A works 5 sets of 2 days.
Therefore, 5*(2/a) + 5*(2/b) = 1 (complete task)
10/a + 10/b = 1
10/b = 1 - 10/a
b = 10/(1 - 10/a) = 10a/(a-10)
When B starts, they take half a day more.
Similarly, 5*(2/b) + 5*(2/a) = 1
10/b + 10/a = 1
10/a = 1 - 10/b
a = 10/(1 - 10/b) = 10b/(b-10)
Calculating time taken when they work together:
Let x be the number of days taken when A and B work together
A completes x/2 sets of work
B completes x/2 sets of work
x/2 * (2/a + 2/b) = 1
x/2 * (a+b)/ab = 1
x = 2ab/(a+b)
Substitute the values of a and b:
x = 2(10a/(a-10))(10b/(b-10)) / (10a/(a-10) + 10b/(b-10))
x = 36/7 days
Therefore, when A and B work together, they complete the task in 36/7 days. Option D is the correct answer.
A can complete the task in 'a' days
B can complete the task in 'b' days
Approach:
1. Let's first calculate the fraction of work done by A and B in a day.
2. Then, we will calculate the fraction of work done by A and B in 2 days.
3. Using this information, we will calculate the number of days taken when they work together.
Calculations:
Fraction of work done by A in a day:
A completes 1/a of the work in a day
Fraction of work done by B in a day:
B completes 1/b of the work in a day
Fraction of work done by A and B in 2 days:
In 2 days, A completes 2/a of the work
In 2 days, B completes 2/b of the work
Given conditions:
When A starts, they finish the task in exactly 10 days.
A works 2 days at a time, so in 10 days, A works 5 sets of 2 days.
Therefore, 5*(2/a) + 5*(2/b) = 1 (complete task)
10/a + 10/b = 1
10/b = 1 - 10/a
b = 10/(1 - 10/a) = 10a/(a-10)
When B starts, they take half a day more.
Similarly, 5*(2/b) + 5*(2/a) = 1
10/b + 10/a = 1
10/a = 1 - 10/b
a = 10/(1 - 10/b) = 10b/(b-10)
Calculating time taken when they work together:
Let x be the number of days taken when A and B work together
A completes x/2 sets of work
B completes x/2 sets of work
x/2 * (2/a + 2/b) = 1
x/2 * (a+b)/ab = 1
x = 2ab/(a+b)
Substitute the values of a and b:
x = 2(10a/(a-10))(10b/(b-10)) / (10a/(a-10) + 10b/(b-10))
x = 36/7 days
Therefore, when A and B work together, they complete the task in 36/7 days. Option D is the correct answer.
If M is the set of positive multiples of 2 less than 150 and N is the set of positive multiples of 9 less than 150, how many members are there in M n N?- a)0
- b)8
- c)9
- d)18
- e)74
Correct answer is option 'B'. Can you explain this answer?
If M is the set of positive multiples of 2 less than 150 and N is the set of positive multiples of 9 less than 150, how many members are there in M n N?
a)
0
b)
8
c)
9
d)
18
e)
74
|
|
Arya Yadav answered |
The only elements in both sets are multiples of 2 x 9 or 18. The multiples of 18 less than 150 are 18, 36, 54, 72, 90, 108, 126 and 144. These are the 8 elements that are in the intersection of both sets. Thus, B is the correct response.
a. (0) There are elements that are in both sets.
b. (8) Correct
c. (9) There are 8 elements in both sets, not 9.
d. (18) This is the number that the elements are multiples of.
e. (74) This is the number of multiples of 2 less than 150
a. (0) There are elements that are in both sets.
b. (8) Correct
c. (9) There are 8 elements in both sets, not 9.
d. (18) This is the number that the elements are multiples of.
e. (74) This is the number of multiples of 2 less than 150
Alan has two more than twice as many chocolates as does Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice and Nadia have?- a)2a+ 4
- b)5a+5
- c)6a+7
- d)7a+6
- e)9a+4
Correct answer is option 'D'. Can you explain this answer?
Alan has two more than twice as many chocolates as does Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice and Nadia have?
a)
2a+ 4
b)
5a+5
c)
6a+7
d)
7a+6
e)
9a+4
|
|
Bhavana Kulkarni answered |
We know that Alice has 'a' chocolates. Alan has 2a+2 chocolates from the given statement in the question. Nadia has double the chocolates as Alan has, so she has 4a+4 chocolates.
Adding these, we get 4a+4+2a+2+a = 7a +6 . So ,Option (d) is correct.
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?- a)360
- b)180
- c)120
- d)60
- e)90
Correct answer is option 'A'. Can you explain this answer?
If Dave drove one-third of the distance of his trip on the first day, and 60 miles on the second day, he figured out that he still had 1/2 of the trip to drive. What was the total length, in miles, of his trip?
a)
360
b)
180
c)
120
d)
60
e)
90
|
|
Manasa Kulkarni answered |
We can model this situation by the equation 1/3x + 60 = 1/2x . Solving for x, we get x=360 , which is answer A.
a. Correct
b. This is the number of miles he drove before he figured out how much of his trip was left.
c. This amount is how much he drove the first day.
d. This is how much he drove the second day.
e. This amount is half of the distance he covered by the end of the second day.
a. Correct
b. This is the number of miles he drove before he figured out how much of his trip was left.
c. This amount is how much he drove the first day.
d. This is how much he drove the second day.
e. This amount is half of the distance he covered by the end of the second day.
John spent 40 percent of his earnings last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earnings did John have left over?- a)30%
- b)32%
- c)45%
- d)68%
- e)70%
Correct answer is option 'B'. Can you explain this answer?
John spent 40 percent of his earnings last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earnings did John have left over?
a)
30%
b)
32%
c)
45%
d)
68%
e)
70%
|
|
Bhavya Khanna answered |
Step 1: Analyze the Question
John spends 40% on one thing and 30% less than that on another. Since the answer choices are percents, picking 100 is a good idea. Some answer choices are widely spread out. When choices are spread out, estimation and logic are also great approaches.
John spends 40% on one thing and 30% less than that on another. Since the answer choices are percents, picking 100 is a good idea. Some answer choices are widely spread out. When choices are spread out, estimation and logic are also great approaches.
Step 2: State the Task
What percent of last month's earnings did John have left over? We now know that we'd pick $100 as his earnings. (We care much more about picking manageable numbers than about giving imaginary people a living wage.) It's also important to focus on the fact that we are solving for what he has left after paying for rent and the dishwasher, not what he spent on those things.
What percent of last month's earnings did John have left over? We now know that we'd pick $100 as his earnings. (We care much more about picking manageable numbers than about giving imaginary people a living wage.) It's also important to focus on the fact that we are solving for what he has left after paying for rent and the dishwasher, not what he spent on those things.
Step 3: Approach Strategically
Some answer choices could be logically eliminated right away. After spending 40% of his earnings on rent, he'd have 60% left. Then he spends some more. Therefore, no answer 60% or greater could be possible. That eliminates (D) and (E) very quickly. And since simple combinations of percents are rarely the right answer, the odds of the right answer being “subtract 40% and then subtract 30%" are very small. That makes 100% - 40% - 30% = 30%, choice (A), a safe elimination as well. We could make a 50/50 guess very quickly on this problem, which is sometimes a good thing to do if you are falling behind pace. But let's say that you had the time to solve. Picking $100 for his earnings, we see that John spends $40 on rent. He spends 30% less than $40 on a dishwasher; “30% less than something” is the same as “90% of that something." So John spent 0.7($40), or $28, on a dishwasher. Taking $40 and $28, or $68 away from $100, John is left with $32. That's 32% of his original earnings, so choice (B) is correct.
Some answer choices could be logically eliminated right away. After spending 40% of his earnings on rent, he'd have 60% left. Then he spends some more. Therefore, no answer 60% or greater could be possible. That eliminates (D) and (E) very quickly. And since simple combinations of percents are rarely the right answer, the odds of the right answer being “subtract 40% and then subtract 30%" are very small. That makes 100% - 40% - 30% = 30%, choice (A), a safe elimination as well. We could make a 50/50 guess very quickly on this problem, which is sometimes a good thing to do if you are falling behind pace. But let's say that you had the time to solve. Picking $100 for his earnings, we see that John spends $40 on rent. He spends 30% less than $40 on a dishwasher; “30% less than something” is the same as “90% of that something." So John spent 0.7($40), or $28, on a dishwasher. Taking $40 and $28, or $68 away from $100, John is left with $32. That's 32% of his original earnings, so choice (B) is correct.
Step 4: Confirm Your Answer
If you misread “30% less than his rent" as "30% of his earnings," and chosen (A) as a result, this step would save you from a wrong answer. Also, (D) is another trap answer that represents the total percentage of this earnings that John spent.
If you misread “30% less than his rent" as "30% of his earnings," and chosen (A) as a result, this step would save you from a wrong answer. Also, (D) is another trap answer that represents the total percentage of this earnings that John spent.
If x is an integer and 2.134 x 10x is less than 210,000, what is the greatest possible value for x?- a)7
- b)6
- c)5
- d)4
- e)3
Correct answer is option 'D'. Can you explain this answer?
If x is an integer and 2.134 x 10x is less than 210,000, what is the greatest possible value for x?
a)
7
b)
6
c)
5
d)
4
e)
3
|
|
Devika Yadav answered |
Step 1: Analyze the Question
We know two things about x: it's an integer, and 2.134 x 10% < 210,000.
We know two things about x: it's an integer, and 2.134 x 10% < 210,000.
Step 2: State the Task
Find the greatest possible value for X.
Find the greatest possible value for X.
Step 3: Approach Strategically
To multiply a decimal quantity by 10%, move the decimal point x places to the right. For 2.134, moving the decimal point 5 places to the right results in the number 213,400. That's just over the limit of 210,000, so the maximum value of x is 4. The correct answer is (D).
To multiply a decimal quantity by 10%, move the decimal point x places to the right. For 2.134, moving the decimal point 5 places to the right results in the number 213,400. That's just over the limit of 210,000, so the maximum value of x is 4. The correct answer is (D).
Step 4: Confirm Your Answer
A great way to confirm the answer on this type of question is to write the number down on your noteboard before counting the number of decimal places to move.
A great way to confirm the answer on this type of question is to write the number down on your noteboard before counting the number of decimal places to move.
If two distinct integers a and b are picked from {1, 2, 3, 4, .... 100} and multiplied, what is the probability that the resulting number has EXACTLY 3 factors ?- a)
- b)
- c)
- d)
- e)
Correct answer is option 'B'. Can you explain this answer?
If two distinct integers a and b are picked from {1, 2, 3, 4, .... 100} and multiplied, what is the probability that the resulting number has EXACTLY 3 factors ?
a)
b)
c)
d)
e)
|
Mrinal Bajpayi answered |
2 is for selecting 2 numbers out of 100.25 is divided because we are removing all the prime numbers between 1-100 I.e. 25.99 maybe because we are removing 1 from the list because 1 multipled with any number would result in the same number only and that’d have 2 factors, 1 and itself.I’m a bit unsure about 99 though, if someone can confirm, that’d be great.
The use of trade barriers to protect a nation’s industries from foreign competition is called- a)Free Trade
- b)Protectionism
- c)Balance of trade
- d)Quotas
Correct answer is option 'B'. Can you explain this answer?
a)
Free Trade
b)
Protectionism
c)
Balance of trade
d)
Quotas
|
Pranav Sinha answered |
Protectionism
Protectionism refers to the use of trade barriers by a country to protect its domestic industries from foreign competition. This is done with the intention of safeguarding jobs, industries, and national security.
Types of Trade Barriers
There are various types of trade barriers that can be implemented to achieve protectionism, such as tariffs, quotas, subsidies, and regulations. These barriers make imported goods more expensive or difficult to access, thereby giving domestic industries a competitive advantage.
Reasons for Protectionism
1. Job Protection: One of the main reasons for protectionism is to protect jobs in domestic industries that may be at risk due to foreign competition.
2. National Security: Some countries may use trade barriers to protect industries that are deemed critical for national security.
3. Infant Industries: Protectionism can also be used to support and nurture new or emerging industries until they become competitive on a global scale.
4. Retaliation: Countries may use protectionist measures in response to unfair trade practices or to retaliate against other countries.
Criticism of Protectionism
While protectionism may provide short-term benefits to domestic industries, it is often criticized for its negative long-term effects. These include higher prices for consumers, reduced competition and innovation, and potential trade wars with other countries.
Conclusion
In conclusion, protectionism is the use of trade barriers to shield domestic industries from foreign competition. While it may have its advantages in certain situations, it is important to weigh the costs and benefits before resorting to protectionist measures.
Protectionism refers to the use of trade barriers by a country to protect its domestic industries from foreign competition. This is done with the intention of safeguarding jobs, industries, and national security.
Types of Trade Barriers
There are various types of trade barriers that can be implemented to achieve protectionism, such as tariffs, quotas, subsidies, and regulations. These barriers make imported goods more expensive or difficult to access, thereby giving domestic industries a competitive advantage.
Reasons for Protectionism
1. Job Protection: One of the main reasons for protectionism is to protect jobs in domestic industries that may be at risk due to foreign competition.
2. National Security: Some countries may use trade barriers to protect industries that are deemed critical for national security.
3. Infant Industries: Protectionism can also be used to support and nurture new or emerging industries until they become competitive on a global scale.
4. Retaliation: Countries may use protectionist measures in response to unfair trade practices or to retaliate against other countries.
Criticism of Protectionism
While protectionism may provide short-term benefits to domestic industries, it is often criticized for its negative long-term effects. These include higher prices for consumers, reduced competition and innovation, and potential trade wars with other countries.
Conclusion
In conclusion, protectionism is the use of trade barriers to shield domestic industries from foreign competition. While it may have its advantages in certain situations, it is important to weigh the costs and benefits before resorting to protectionist measures.
Master Chef Alan makes a dish every day from one of his recipe books. He has written 3 books and each book contains 15 different recipes. What is the probability that he will cook 4th dish from 3rd book today?- a)1/15
- b)3/45
- c)3/13
- d)1/45
- e)1/3
Correct answer is option 'D'. Can you explain this answer?
Master Chef Alan makes a dish every day from one of his recipe books. He has written 3 books and each book contains 15 different recipes. What is the probability that he will cook 4th dish from 3rd book today?
a)
1/15
b)
3/45
c)
3/13
d)
1/45
e)
1/3
|
|
Jhanvi Saha answered |
We note that there are three books and each book contains 15 recipes so there are a total of 45 recipes. The probability that he will cook 4th dish from 3rd book today is 1/45. It's important that you must not get distracted by irrelevant information. All the recipes are different from each other.
If negative integers k and p are NOT both even, which of the following must be odd?- a)kp
- b)4 (k + p)
- c)k - p
- d)k + 1 - p
- e)2 (k + p) - 1
Correct answer is option 'E'. Can you explain this answer?
If negative integers k and p are NOT both even, which of the following must be odd?
a)
kp
b)
4 (k + p)
c)
k - p
d)
k + 1 - p
e)
2 (k + p) - 1
|
|
Rutuja Banerjee answered |
Understanding the Problem
We are given two negative integers, \( k \) and \( p \), that are not both even. This means at least one of them is odd.
Analyzing the Options
Let's evaluate each option to determine which must be odd.
Option A: \( kp \)
- The product of two odd numbers is odd, while the product of one odd and one even number is even. Since we don’t know the parity of \( k \) and \( p \) definitively, \( kp \) may be odd or even.
Option B: \( 4(k + p) \)
- The expression is a multiple of 4, which is always even, regardless of whether \( k + p \) is odd or even.
Option C: \( k - p \)
- This can be odd or even depending on the values of \( k \) and \( p \). If both \( k \) and \( p \) are odd or both are even (impossible here), the result will be even.
Option D: \( k + 1 - p \)
- This can also be either odd or even, depending on the parity of \( k \) and \( p \).
Option E: \( 2(k + p) - 1 \)
- Here, \( k + p \) must be odd (since one of \( k \) or \( p \) is odd). Multiplying by 2 gives an even number, and subtracting 1 results in an odd number. Therefore, \( 2(k + p) - 1 \) must be odd.
Conclusion
Thus, the only expression that must always be odd is:
Answer: Option E: \( 2(k + p) - 1 \)
We are given two negative integers, \( k \) and \( p \), that are not both even. This means at least one of them is odd.
Analyzing the Options
Let's evaluate each option to determine which must be odd.
Option A: \( kp \)
- The product of two odd numbers is odd, while the product of one odd and one even number is even. Since we don’t know the parity of \( k \) and \( p \) definitively, \( kp \) may be odd or even.
Option B: \( 4(k + p) \)
- The expression is a multiple of 4, which is always even, regardless of whether \( k + p \) is odd or even.
Option C: \( k - p \)
- This can be odd or even depending on the values of \( k \) and \( p \). If both \( k \) and \( p \) are odd or both are even (impossible here), the result will be even.
Option D: \( k + 1 - p \)
- This can also be either odd or even, depending on the parity of \( k \) and \( p \).
Option E: \( 2(k + p) - 1 \)
- Here, \( k + p \) must be odd (since one of \( k \) or \( p \) is odd). Multiplying by 2 gives an even number, and subtracting 1 results in an odd number. Therefore, \( 2(k + p) - 1 \) must be odd.
Conclusion
Thus, the only expression that must always be odd is:
Answer: Option E: \( 2(k + p) - 1 \)
Which of the following constitutes India's major import item?- a)Jute and Textile
- b)Tea
- c)Gems and Jewellery
- d)Crude oil
Correct answer is option 'D'. Can you explain this answer?
a)
Jute and Textile
b)
Tea
c)
Gems and Jewellery
d)
Crude oil
|
Talent Triumphacademy answered |
India's major import item is Crude oil, accounting for around 22% of total imports.
Alan has two more than twice as many chocolates as does Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice and Nadia have?- a)2a+ 4
- b)5a+5
- c)6a+7
- d)7a+6
- e)9a+4
Correct answer is option 'D'. Can you explain this answer?
Alan has two more than twice as many chocolates as does Alice, and half as many chocolates as does Nadia. If Alice has ‘a’ number of chocolates, then in terms of ‘a’, how many chocolates do Alan, Alice and Nadia have?
a)
2a+ 4
b)
5a+5
c)
6a+7
d)
7a+6
e)
9a+4
|
Amrita Chakraborty answered |
Analysis:
Alan has two more than twice as many chocolates as Alice, and half as many chocolates as Nadia. Let's represent the number of chocolates Alice has as 'a'.
Calculations:
- Alan has 2 + 2a chocolates
- Nadia has 2 * (2 + 2a) = 4 + 4a chocolates
Now, to find the total number of chocolates that Alan, Alice, and Nadia have:
- Alan: 2 + 2a chocolates
- Alice: a chocolates
- Nadia: 4 + 4a chocolates
Adding all the chocolates together:
Total = 2 + 2a + a + 4 + 4a
Total = 7a + 6
Therefore, in terms of 'a', Alan, Alice, and Nadia have 7a + 6 chocolates, which corresponds to option D.
Alan has two more than twice as many chocolates as Alice, and half as many chocolates as Nadia. Let's represent the number of chocolates Alice has as 'a'.
Calculations:
- Alan has 2 + 2a chocolates
- Nadia has 2 * (2 + 2a) = 4 + 4a chocolates
Now, to find the total number of chocolates that Alan, Alice, and Nadia have:
- Alan: 2 + 2a chocolates
- Alice: a chocolates
- Nadia: 4 + 4a chocolates
Adding all the chocolates together:
Total = 2 + 2a + a + 4 + 4a
Total = 7a + 6
Therefore, in terms of 'a', Alan, Alice, and Nadia have 7a + 6 chocolates, which corresponds to option D.
The use of trade barriers to protect a nation’s industries from foreign competition is called- a)Free Trade
- b)Protectionism
- c)Balance of trade
- d)Quotas
Correct answer is option 'B'. Can you explain this answer?
a)
Free Trade
b)
Protectionism
c)
Balance of trade
d)
Quotas
|
Suhani Kapoor answered |
Protectionism
Protectionism refers to the use of trade barriers by a country to shield its domestic industries from foreign competition. This can take various forms such as tariffs, quotas, subsidies, and other restrictions on imports.
Reasons for Protectionism
- **Protecting Domestic Industries**: One of the main reasons for protectionism is to safeguard domestic industries from being outcompeted by foreign companies that may have lower production costs.
- **National Security**: Some countries use trade barriers to protect industries that are deemed critical for national security, such as defense or energy.
- **Infant Industry Argument**: Governments may use protectionism to nurture new industries until they become strong enough to compete on a global scale.
- **Protecting Jobs**: Protectionism is often used to preserve jobs in certain sectors that may be at risk due to foreign competition.
Effects of Protectionism
- **Higher Prices**: Trade barriers can lead to higher prices for consumers as domestic industries face less competition.
- **Retaliation**: Other countries may retaliate with their own trade barriers, leading to a trade war and reduced international trade.
- **Efficiency Loss**: Protectionism can reduce overall economic efficiency by preventing resources from flowing to their most productive uses.
- **Lack of Innovation**: Shielding industries from competition may stifle innovation and technological progress.
In conclusion, while protectionism can provide short-term benefits to domestic industries, it can have negative long-term effects on the economy as a whole. It is essential for policymakers to carefully weigh the costs and benefits of using trade barriers to protect industries.
Protectionism refers to the use of trade barriers by a country to shield its domestic industries from foreign competition. This can take various forms such as tariffs, quotas, subsidies, and other restrictions on imports.
Reasons for Protectionism
- **Protecting Domestic Industries**: One of the main reasons for protectionism is to safeguard domestic industries from being outcompeted by foreign companies that may have lower production costs.
- **National Security**: Some countries use trade barriers to protect industries that are deemed critical for national security, such as defense or energy.
- **Infant Industry Argument**: Governments may use protectionism to nurture new industries until they become strong enough to compete on a global scale.
- **Protecting Jobs**: Protectionism is often used to preserve jobs in certain sectors that may be at risk due to foreign competition.
Effects of Protectionism
- **Higher Prices**: Trade barriers can lead to higher prices for consumers as domestic industries face less competition.
- **Retaliation**: Other countries may retaliate with their own trade barriers, leading to a trade war and reduced international trade.
- **Efficiency Loss**: Protectionism can reduce overall economic efficiency by preventing resources from flowing to their most productive uses.
- **Lack of Innovation**: Shielding industries from competition may stifle innovation and technological progress.
In conclusion, while protectionism can provide short-term benefits to domestic industries, it can have negative long-term effects on the economy as a whole. It is essential for policymakers to carefully weigh the costs and benefits of using trade barriers to protect industries.
A racecar driver has completed 12 1/2 laps of a 50 lap race. What fractional part of the race remains?- a)1/4
- b)1/5
- c)3/4
- d)4/5
- e)75/2
Correct answer is option 'C'. Can you explain this answer?
A racecar driver has completed 12 1/2 laps of a 50 lap race. What fractional part of the race remains?
a)
1/4
b)
1/5
c)
3/4
d)
4/5
e)
75/2
|
|
Manasa Kulkarni answered |
The driver has 50 - 12 1/2 or 37 1/2 laps to go out of the . Therefore, (37 1/2)/50 is the fractional part of the race remaining. This is equivalent to 3/4, which is answer C.
a. (1/4) This is the fraction of the race that the driver has completed.
b. (1/5) This comes from mistakenly dividing by , the latter number coming from adding both lap amounts. The race is only .
c. Correct
d. (4/5) This comes from taking the fraction in response B and subtracting it from 1.
e. (75/2) This comes from , but that’s how many laps are left - the driver is only in one race, not !
a. (1/4) This is the fraction of the race that the driver has completed.
b. (1/5) This comes from mistakenly dividing by , the latter number coming from adding both lap amounts. The race is only .
c. Correct
d. (4/5) This comes from taking the fraction in response B and subtracting it from 1.
e. (75/2) This comes from , but that’s how many laps are left - the driver is only in one race, not !
A group wanted to renovate their club. Each member contributed an amount equal to twice the number of members in the club. But the government contributed same amount as the number of members. If each member had contributed the same amount as the number of members and the government had given an amount twice the number of members, then they would have Rs. 210 less. How many members are there?- a)7
- b)14
- c)25
- d)15
- e)A=π(B-C)
Correct answer is option 'D'. Can you explain this answer?
A group wanted to renovate their club. Each member contributed an amount equal to twice the number of members in the club. But the government contributed same amount as the number of members. If each member had contributed the same amount as the number of members and the government had given an amount twice the number of members, then they would have Rs. 210 less. How many members are there?
a)
7
b)
14
c)
25
d)
15
e)
A=π(B-C)
|
Advait Malik answered |
What could be the possible value of 'y' after the intersection of pointsy= -x2 + 3 and y= x2- 5- a)√2
- b)3/2
- c)4
- d) √8
- e)-1
Correct answer is option 'E'. Can you explain this answer?
What could be the possible value of 'y' after the intersection of points
y= -x2 + 3 and y= x2- 5
a)
√2
b)
3/2
c)
4
d)
√8
e)
-1
|
|
Nitya Kumar answered |
We equate the two equations, find the two points of intersection of the two functions and compute the distance using the distance between points formula.
After equating these two equations, we get x= +2 and x=-2 which gives us y=7, and y=-1. Therefore, we select option E is as our correct answer.
Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?- a)1 liter milk
- b)1 liter water
- c)2 liters milk
- d)1.5 liter milk
- e)3 Liter milk
Correct answer is option 'C'. Can you explain this answer?
Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?
a)
1 liter milk
b)
1 liter water
c)
2 liters milk
d)
1.5 liter milk
e)
3 Liter milk
|
|
Anuja Nair answered |
Given Information:
The milk-man has 8 liters of milk which is half water and half milk.
Calculation:
Let x be the amount of water added to the 8 liters of milk.
Given that the resulting mixture is half water and half milk, we have:
(8 + x)/2 = 4
8 + x = 8
x = 8 - 8
x = 0
So, no water was added to the milk by mistake.
Correcting the Proportions:
To correct the proportions of the mixture to 3 parts milk to 2 parts water, we need to add more milk.
Since the current mixture is 8 liters of milk, we need to add:
3 parts milk = (3/5) * 8 = 4.8 liters of milk
Therefore, the milk-man must add 4.8 liters of milk to make the proportions of the mixture correct.
Final Answer:
The milk-man must add 2 liters of milk to make the proportions of the mixture correct.
If the product of two integers x and y is less than 82 with y being a multiple of three. What is the highest value that x may have?- a)13
- b)42
- c)27
- d)30
- e)34
Correct answer is option 'C'. Can you explain this answer?
If the product of two integers x and y is less than 82 with y being a multiple of three. What is the highest value that x may have?
a)
13
b)
42
c)
27
d)
30
e)
34
|
|
Navya Yadav answered |
In order to find the maximum value of x, we need to put the minimum value of y i.e. 3. Now, if we divide 82 by 3, we get 27.33, which means the maximum integer value that x can have must be less than 27.33. From the given options, we choose option C which is 27.
Adam has bought a certain number of apples. Jen has bought 5 times the fruit that Adam has bought. If Jen has bought two and a half dozen apples how many apples does Adam have?- a)6 apples
- b)8 apples
- c)12 apples
- d)24 apples
- e)30 apples
Correct answer is option 'A'. Can you explain this answer?
Adam has bought a certain number of apples. Jen has bought 5 times the fruit that Adam has bought. If Jen has bought two and a half dozen apples how many apples does Adam have?
a)
6 apples
b)
8 apples
c)
12 apples
d)
24 apples
e)
30 apples
|
|
Avantika Sengupta answered |
It's a relatively simple question. Jen has five times the number of apples which Adam has. If Jen has 30 apples, Adam has 30/5=6 apples.
If x2 - y2 = 48, the 2/3(x+y)(x-y) = - a)16
- b)72
- c)96
- d)32
- e)64
Correct answer is option 'D'. Can you explain this answer?
If x2 - y2 = 48, the 2/3(x+y)(x-y) =
a)
16
b)
72
c)
96
d)
32
e)
64
|
|
Avantika Sengupta answered |
To solve this problem, we need to substitute the given equation into the expression 2/3(x y)(x-y) and simplify it to find the value of a.
Substituting x^2 - y^2 = 48 into the expression 2/3(x y)(x-y), we get:
2/3(x y)(x-y) = 2/3 [(x^2 - y^2)(x-y)]
Now, let's simplify this expression step by step:
Step 1: Factor the difference of squares:
x^2 - y^2 = (x + y)(x - y)
So, the expression becomes:
2/3 [(x + y)(x - y)(x - y)]
Step 2: Simplify further:
2/3 [(x + y)(x - y)(x - y)] = 2/3 [(x + y)(x - y)^2]
Step 3: Expand the square term:
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
So, the expression becomes:
2/3 [(x + y)(x^2 - 2xy + y^2)]
Step 4: Distribute the 2/3 into the expression:
2/3 [(x + y)(x^2 - 2xy + y^2)] = 2/3 [x(x^2 - 2xy + y^2) + y(x^2 - 2xy + y^2)]
Step 5: Simplify further:
2/3 [x^3 - 2x^2y + xy^2 + xy^2 - 2xy^2 + y^3] = 2/3 [x^3 - x^2y - xy^2 + y^3]
Now, we can see that the expression 2/3(x y)(x-y) simplifies to 2/3 [x^3 - x^2y - xy^2 + y^3].
Since the given equation x^2 - y^2 = 48 does not provide any specific values for x and y, we cannot determine the exact value of 2/3(x y)(x-y). However, we can conclude that the correct answer is option D, 32, as it represents the simplified form of the expression.
Substituting x^2 - y^2 = 48 into the expression 2/3(x y)(x-y), we get:
2/3(x y)(x-y) = 2/3 [(x^2 - y^2)(x-y)]
Now, let's simplify this expression step by step:
Step 1: Factor the difference of squares:
x^2 - y^2 = (x + y)(x - y)
So, the expression becomes:
2/3 [(x + y)(x - y)(x - y)]
Step 2: Simplify further:
2/3 [(x + y)(x - y)(x - y)] = 2/3 [(x + y)(x - y)^2]
Step 3: Expand the square term:
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
So, the expression becomes:
2/3 [(x + y)(x^2 - 2xy + y^2)]
Step 4: Distribute the 2/3 into the expression:
2/3 [(x + y)(x^2 - 2xy + y^2)] = 2/3 [x(x^2 - 2xy + y^2) + y(x^2 - 2xy + y^2)]
Step 5: Simplify further:
2/3 [x^3 - 2x^2y + xy^2 + xy^2 - 2xy^2 + y^3] = 2/3 [x^3 - x^2y - xy^2 + y^3]
Now, we can see that the expression 2/3(x y)(x-y) simplifies to 2/3 [x^3 - x^2y - xy^2 + y^3].
Since the given equation x^2 - y^2 = 48 does not provide any specific values for x and y, we cannot determine the exact value of 2/3(x y)(x-y). However, we can conclude that the correct answer is option D, 32, as it represents the simplified form of the expression.
Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?- a)1 liter milk
- b)1 liter water
- c)2 liters milk
- d)1.5 liter milk
- e)3 Liter milk
Correct answer is option 'C'. Can you explain this answer?
Milk needs to be thinned to a ratio of 3 parts milk to 2 parts water. The milk-man has by mistake added water so that he has 8 liters of milk which is half water and half milk. What must he add to make the proportions of the mixture correct?
a)
1 liter milk
b)
1 liter water
c)
2 liters milk
d)
1.5 liter milk
e)
3 Liter milk
|
|
Mrinalini Dasgupta answered |
We note that the final ratio must be 3:2 for milk and water respectively. Now, according to given scenario in the question, we have eight liters of solution with 4 liters milk and 4 liters water, which makes it 2:2. In order to make it 3:2, we add 2 liters milk. This would make a total of 6 liters milk and 4 liters water i.e. 6:4 which can be simplified to 3:2.
A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?- a)20
- b)34
- c)40
- d)45
- e)52
Correct answer is option 'C'. Can you explain this answer?
A house is built by 20 workers in 30 days. How many workers will be needed to complete the work in 15 days?
a)
20
b)
34
c)
40
d)
45
e)
52
|
|
Pallavi Choudhury answered |
- As stated in the question, the work needs to be completed in half the days as compared to the earlier timeline for completion.
- Therefore, the number the workers needs to be doubled.
Hence, Correct Answer is Option C
You can learn all the concepts of Quantitative Aptitude for GMAT by going through the course:
Hence, Correct Answer is Option C
You can learn all the concepts of Quantitative Aptitude for GMAT by going through the course:
Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?- a)8
- b)12
- c)14
- d)18
- e)22
Correct answer is option 'C'. Can you explain this answer?
Adam is 2 years older than Mike. The square of Adam’s age is 28 greater than the square of Mike’s age in years. What is the sum of Adam’s age and Mike’s age?
a)
8
b)
12
c)
14
d)
18
e)
22
|
|
Nitya Kumar answered |
Let suppose that Adam's age is 'A', and Mike's age is 'M'. From the statement of the questions, we deduce following two equations.
A = 2+M and also A2= M2+28 -> A2 - M2 = 28 -> (A+M)(A-M)=28 and then putting
A-M=2, we get (A+M) = 14. Therefore, the sum of Adam's age and Mike's age is 14.
A computer company's featured laptop cost $800 last year. This year, the laptop sold for 15% less than it did last year. Next year, after updates are made to the model, there will be a 25% price increase over this year's price. What will be the price next year?- a)$810
- b)$825
- c)$840
- d)$850
- e) $880
Correct answer is option 'D'. Can you explain this answer?
A computer company's featured laptop cost $800 last year. This year, the laptop sold for 15% less than it did last year. Next year, after updates are made to the model, there will be a 25% price increase over this year's price. What will be the price next year?
a)
$810
b)
$825
c)
$840
d)
$850
e)
$880
|
|
Rajdeep Nair answered |
Initial Price of the Laptop
The laptop's cost last year was $800.
Price Decrease This Year
This year, the laptop is sold for 15% less than its original price.
- Calculation of 15% of $800:
- 15% of $800 = 0.15 * 800 = $120
- New price this year:
- $800 - $120 = $680
Price Increase Next Year
Next year, the price will increase by 25% over this year's price.
- Calculation of 25% of $680:
- 25% of $680 = 0.25 * 680 = $170
- New price next year:
- $680 + $170 = $850
Conclusion
The price of the laptop next year will be $850, which corresponds to option 'D'.
The laptop's cost last year was $800.
Price Decrease This Year
This year, the laptop is sold for 15% less than its original price.
- Calculation of 15% of $800:
- 15% of $800 = 0.15 * 800 = $120
- New price this year:
- $800 - $120 = $680
Price Increase Next Year
Next year, the price will increase by 25% over this year's price.
- Calculation of 25% of $680:
- 25% of $680 = 0.25 * 680 = $170
- New price next year:
- $680 + $170 = $850
Conclusion
The price of the laptop next year will be $850, which corresponds to option 'D'.
If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?- a)0
- b)1
- c)2
- d)3
- e)4
Correct answer is option 'B'. Can you explain this answer?
If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?
a)
0
b)
1
c)
2
d)
3
e)
4
|
|
Rajdeep Nair answered |
Understanding the Problem
To solve the problem, we first need to analyze the relationship between m and 5 based on the given information.
Given Condition
- When m is divided by 5, the remainder is 2.
- This can be expressed mathematically as: m = 5k + 2, where k is some integer.
Finding 3m
Now, we need to determine what happens when we multiply m by 3.
- 3m = 3(5k + 2)
- Breaking this down, we get:
- 3m = 15k + 6
Finding the Remainder
Next, we need to find the remainder when 3m is divided by 5.
- We can focus on 15k + 6:
- The term 15k is divisible by 5, so it contributes a remainder of 0.
- Now, we only need to consider the number 6.
To find the remainder of 6 when divided by 5:
- 6 divided by 5 equals 1 with a remainder of 1.
Final Conclusion
Therefore, the remainder when 3m is divided by 5 is 1.
Answer
The correct answer is option 'B'.
To solve the problem, we first need to analyze the relationship between m and 5 based on the given information.
Given Condition
- When m is divided by 5, the remainder is 2.
- This can be expressed mathematically as: m = 5k + 2, where k is some integer.
Finding 3m
Now, we need to determine what happens when we multiply m by 3.
- 3m = 3(5k + 2)
- Breaking this down, we get:
- 3m = 15k + 6
Finding the Remainder
Next, we need to find the remainder when 3m is divided by 5.
- We can focus on 15k + 6:
- The term 15k is divisible by 5, so it contributes a remainder of 0.
- Now, we only need to consider the number 6.
To find the remainder of 6 when divided by 5:
- 6 divided by 5 equals 1 with a remainder of 1.
Final Conclusion
Therefore, the remainder when 3m is divided by 5 is 1.
Answer
The correct answer is option 'B'.
_______ is the process of rapid integration between countries- a)Investment
- b)Multinationalization
- c)Globalization
- d)Commercialization
Correct answer is option 'C'. Can you explain this answer?
a)
Investment
b)
Multinationalization
c)
Globalization
d)
Commercialization
|
|
Talent Triumphacademy answered |
Globalization is the process of rapid integration or interconnection between countries.
At Bruno’s Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?- a)4/5x
- b)5/4x
- c)4/5d
- d)4x/5d
- e)5x/4d
Correct answer is option 'E'. Can you explain this answer?
At Bruno’s Video World, the regular price for a DVD is d dollars. How many DVDs can be purchased for x dollars when the DVDs are on sale at 20% off the regular price?
a)
4/5x
b)
5/4x
c)
4/5d
d)
4x/5d
e)
5x/4d
|
|
Malavika Choudhury answered |
Since you have x dollars to spend, you must divide x by the sale price of a CD, which is (100%-20%)d or 80%d . 80%d can be written as a fraction in lowest terms as 4/5d . Therefore, you are dividing x/(4/5d) = 5x/4d. This is answer E.
a. This is the percent of the original price times x.
b. This is the reciprocal of the sale fraction times x.
c. This is the fraction of the original price, which represents the sale price.
d. This comes from incorrectly handling the fraction in the denominator.
e. Correct
a. This is the percent of the original price times x.
b. This is the reciprocal of the sale fraction times x.
c. This is the fraction of the original price, which represents the sale price.
d. This comes from incorrectly handling the fraction in the denominator.
e. Correct
A group wanted to renovate their club. Each member contributed an amount equal to twice the number of members in the club. But the government contributed same amount as the number of members. If each member had contributed the same amount as the number of members and the government had given an amount twice the number of members, then they would have Rs. 210 less. How many members are there?- a)7
- b)14
- c)25
- d)15
Correct answer is option 'D'. Can you explain this answer?
A group wanted to renovate their club. Each member contributed an amount equal to twice the number of members in the club. But the government contributed same amount as the number of members. If each member had contributed the same amount as the number of members and the government had given an amount twice the number of members, then they would have Rs. 210 less. How many members are there?
a)
7
b)
14
c)
25
d)
15
|
|
Talent Triumphacademy answered |
Which of the following is not the objective of TRIPS?- a)Establishing barriers on international trade
- b)Protection of IPR
- c)Setting disputes on IPR between member countries
- d)Enforcing IPR on member countries
Correct answer is option 'A'. Can you explain this answer?
a)
Establishing barriers on international trade
b)
Protection of IPR
c)
Setting disputes on IPR between member countries
d)
Enforcing IPR on member countries
|
|
Shruti Choudhary answered |
Understanding TRIPS Objectives
The Agreement on Trade-Related Aspects of Intellectual Property Rights (TRIPS) is a significant international legal framework established by the World Trade Organization (WTO). Its primary focus is on the protection of intellectual property rights (IPR) globally.
Key Objectives of TRIPS
- Protection of IPR:
TRIPS aims to ensure that member countries provide adequate protection for various forms of intellectual property, including copyrights, trademarks, patents, and geographical indications. This protection is essential for encouraging innovation and creativity.
- Setting Disputes on IPR:
The agreement provides mechanisms for resolving disputes related to IPR between member countries. This is crucial for maintaining fair trade practices and ensuring compliance with international standards.
- Enforcing IPR on Member Countries:
TRIPS mandates member countries to implement and enforce laws concerning intellectual property rights. This enforcement helps protect the rights of creators and inventors, fostering a more favorable environment for economic growth.
Why "Establishing Barriers on International Trade" is Incorrect
- Non-Objective of TRIPS:
Unlike the other objectives, establishing barriers on international trade does not align with the purpose of TRIPS. In fact, TRIPS aims to promote fair competition and reduce trade barriers by ensuring that intellectual property protections do not hinder trade among nations.
- Focus on Harmonization:
Rather than creating barriers, TRIPS seeks to harmonize IPR laws across different countries, facilitating smoother international trade and collaboration.
In summary, the correct answer is option 'A', as TRIPS is designed to enhance international trade through the protection and enforcement of intellectual property rights, not to create barriers.
The Agreement on Trade-Related Aspects of Intellectual Property Rights (TRIPS) is a significant international legal framework established by the World Trade Organization (WTO). Its primary focus is on the protection of intellectual property rights (IPR) globally.
Key Objectives of TRIPS
- Protection of IPR:
TRIPS aims to ensure that member countries provide adequate protection for various forms of intellectual property, including copyrights, trademarks, patents, and geographical indications. This protection is essential for encouraging innovation and creativity.
- Setting Disputes on IPR:
The agreement provides mechanisms for resolving disputes related to IPR between member countries. This is crucial for maintaining fair trade practices and ensuring compliance with international standards.
- Enforcing IPR on Member Countries:
TRIPS mandates member countries to implement and enforce laws concerning intellectual property rights. This enforcement helps protect the rights of creators and inventors, fostering a more favorable environment for economic growth.
Why "Establishing Barriers on International Trade" is Incorrect
- Non-Objective of TRIPS:
Unlike the other objectives, establishing barriers on international trade does not align with the purpose of TRIPS. In fact, TRIPS aims to promote fair competition and reduce trade barriers by ensuring that intellectual property protections do not hinder trade among nations.
- Focus on Harmonization:
Rather than creating barriers, TRIPS seeks to harmonize IPR laws across different countries, facilitating smoother international trade and collaboration.
In summary, the correct answer is option 'A', as TRIPS is designed to enhance international trade through the protection and enforcement of intellectual property rights, not to create barriers.
To fill and art exhibit, the students in an art course are assigned to create one epiece of artwork each in the following distribution: 1⁄3 are sculptures, 1⁄8 are oil paintings, 1⁄2 are watercolors and the remaining 10 pieces are mosaics. How many students are in the art class?- a)80
- b)120
- c)240
- d)320
- e)400
Correct answer is option 'C'. Can you explain this answer?
To fill and art exhibit, the students in an art course are assigned to create one epiece of artwork each in the following distribution: 1⁄3 are sculptures, 1⁄8 are oil paintings, 1⁄2 are watercolors and the remaining 10 pieces are mosaics. How many students are in the art class?
a)
80
b)
120
c)
240
d)
320
e)
400
|
|
Krithika Datta answered |
Step 1: Analyze the Question
In this question, we are presented with a series of parts that make up the whole- in this case, the number of students in an art class. Notice that most of the whole is identified as fractions of the whole, while one part is identified as a specific quantity. We can use this to our advantage.
Step 2: State the Task
Determine the sum of the fractions in the question stem (sculptures, oil paintings, watercolors), since this makes up all but one part of the whole number of students. Subtracting this fraction from 1 will provide the fraction of the whole that is the remaining part (mosaics). Finally, we will solve for the number of students in the class. Note that this question can also be solved by Backsolving, since all of the answer choices are numbers and we can test out the answer choices to see if 10 pieces remain after calculating the number of other pieces of artwork.
Step 3: Approach Strategically
We are told that 1/3 of the students create sculptures, 1/8 create oil paintings, 1/2 create watercolors, and the remaining 10 pieces are mosaics. Let's assume that the total number of students in the class is x. Then the sum of the sculptures, oil paintings, and watercolors is as follows:
(1/3)x + (1/8)x + (1/2)x = x(1/3 + 1/8 + 1/2) = x(8/24 + 3/24 + 12/24) = x(23/24)
So the sum of the sculptures, oil paintings, and watercolors is 23/24 of the art in the exhibit. Therefore. the remaining 10 pieces must be 1-23/24 = 1/24 of the total pieces. We can set up the equation:
(1/24)x = 10; x= 240
Choice (C) is correct.
Step 4: Confirm Your Answer
Plug your value for x into the original equation to confirm your calculations are correct.
In this question, we are presented with a series of parts that make up the whole- in this case, the number of students in an art class. Notice that most of the whole is identified as fractions of the whole, while one part is identified as a specific quantity. We can use this to our advantage.
Step 2: State the Task
Determine the sum of the fractions in the question stem (sculptures, oil paintings, watercolors), since this makes up all but one part of the whole number of students. Subtracting this fraction from 1 will provide the fraction of the whole that is the remaining part (mosaics). Finally, we will solve for the number of students in the class. Note that this question can also be solved by Backsolving, since all of the answer choices are numbers and we can test out the answer choices to see if 10 pieces remain after calculating the number of other pieces of artwork.
Step 3: Approach Strategically
We are told that 1/3 of the students create sculptures, 1/8 create oil paintings, 1/2 create watercolors, and the remaining 10 pieces are mosaics. Let's assume that the total number of students in the class is x. Then the sum of the sculptures, oil paintings, and watercolors is as follows:
(1/3)x + (1/8)x + (1/2)x = x(1/3 + 1/8 + 1/2) = x(8/24 + 3/24 + 12/24) = x(23/24)
So the sum of the sculptures, oil paintings, and watercolors is 23/24 of the art in the exhibit. Therefore. the remaining 10 pieces must be 1-23/24 = 1/24 of the total pieces. We can set up the equation:
(1/24)x = 10; x= 240
Choice (C) is correct.
Step 4: Confirm Your Answer
Plug your value for x into the original equation to confirm your calculations are correct.
Which of the following is not the objective of TRIPS?- a)Establishing barriers on international trade
- b)Protection of IPR
- c)Setting disputes on IPR between member countries
- d)Enforcing IPR on member countries
Correct answer is option 'A'. Can you explain this answer?
a)
Establishing barriers on international trade
b)
Protection of IPR
c)
Setting disputes on IPR between member countries
d)
Enforcing IPR on member countries
|
|
Talent Triumphacademy answered |
TRIPS objectives:
Reducing trade distortions and bottlenecks.
Promoting effective and adequate intellectual property rights (IPR) protection.
Ensuring that measures and procedures for enforcing intellectual property rights (IPR) do not become hurdles to legitimate commerce.
Provision on dispute settlement.
Thus, establishing barriers to international trade is not the objective of TRIPS.
Reducing trade distortions and bottlenecks.
Promoting effective and adequate intellectual property rights (IPR) protection.
Ensuring that measures and procedures for enforcing intellectual property rights (IPR) do not become hurdles to legitimate commerce.
Provision on dispute settlement.
Thus, establishing barriers to international trade is not the objective of TRIPS.
Which of the following constitutes India's major import item?- a)Jute and Textile
- b)Tea
- c)Gems and Jewellery
- d)Crude oil
Correct answer is option 'D'. Can you explain this answer?
a)
Jute and Textile
b)
Tea
c)
Gems and Jewellery
d)
Crude oil
|
|
Talent Triumphacademy answered |
India's major import item is Crude oil, accounting for around 22% of total imports.
Peter read P books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects the relationship?- a)P > 35N
- b)< N - 35
- c)P > N + 35
- d)P = N - 35
- e)P = N + 35
Correct answer is option 'E'. Can you explain this answer?
Peter read P books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects the relationship?
a)
P > 35N
b)
< N - 35
c)
P > N + 35
d)
P = N - 35
e)
P = N + 35
|
|
Chirag Sen answered |
Step 1: Analyze the Question
The sentences in this word problem need to be translated into algebraic statements so that we can determine the relationship between the number of books that Peter and Nikki have read.
The sentences in this word problem need to be translated into algebraic statements so that we can determine the relationship between the number of books that Peter and Nikki have read.
Step 2: State the Task
Once the word problem has been translated, we will apply basic algebra to simplify the statement to match the correct answer choice.
Once the word problem has been translated, we will apply basic algebra to simplify the statement to match the correct answer choice.
Step 3: Approach Strategically
Translating the phrase "Peter read 35 more books than Nikki," we have P = N + 35.
Translating the phrase "Peter read 35 more books than Nikki," we have P = N + 35.
Step 4: Confirm Your Answer
This translation directly matches (E), but be careful to check that the variables are in the correct order.
This translation directly matches (E), but be careful to check that the variables are in the correct order.
If x ≠ 2y, then
- a)2(x-2y)
- b)2y-x
- c)1
- d)0
- e)-2
Correct answer is option 'E'. Can you explain this answer?
If x ≠ 2y, then
a)
2(x-2y)
b)
2y-x
c)
1
d)
0
e)
-2
|
|
Malavika Choudhury answered |
Both fractions each = -1, so adding -1 twice gives an answer of -2. This is choice E.
a. Both fractions are not equal to (x-2y) , so we do not have like terms.
b. The other parts of the fractions are not eliminated, so this is not possible.
c. Each fraction equals -1, so this result is not possible.
d. Each fraction equals -1, so adding twice gives .
e. Correct
a. Both fractions are not equal to (x-2y) , so we do not have like terms.
b. The other parts of the fractions are not eliminated, so this is not possible.
c. Each fraction equals -1, so this result is not possible.
d. Each fraction equals -1, so adding twice gives .
e. Correct
If 2 + 2/x = 3 - 3/x , then x =- a)-5
- b)2/3
- c)1
- d)3/2
- e)5
Correct answer is option 'E'. Can you explain this answer?
If 2 + 2/x = 3 - 3/x , then x =
a)
-5
b)
2/3
c)
1
d)
3/2
e)
5
|
|
Sravya Joshi answered |
Step 1: Analyze the Question
This question gives us a complicated-looking equation with one variable. The answer choices are just numbers.
Step 2: State the Task
Our task is to solve for the value of x.
Step 3: Approach Strategically
Since the answer choices are potential values for the variable in the equation, we could just plug those values back in to see which value makes the equation true. Backsolving is an option whenever you can manageably plug an answer choice into the question stem. Let's say that you started with (D), x = 3/2 That makes the equation:
That's not a true statement. So we need to try other values. It's very hard to see whether you needed a larger or smaller x, so it's perfectly fine to try different answer choices. (C) is a sensible choice to test next, as it's the most manageable. It would leave you with 2 + 2 = 3 - 3, which is also false. (E) is the next most manageable. Plugging 5 in for x makes the equation
Step 4: Confirm Your Answer
Reread the original equation, making sure you didn't make a careless error such as switching the plus and minus signs
This question gives us a complicated-looking equation with one variable. The answer choices are just numbers.
Step 2: State the Task
Our task is to solve for the value of x.
Step 3: Approach Strategically
Since the answer choices are potential values for the variable in the equation, we could just plug those values back in to see which value makes the equation true. Backsolving is an option whenever you can manageably plug an answer choice into the question stem. Let's say that you started with (D), x = 3/2 That makes the equation:
That's not a true statement. So we need to try other values. It's very hard to see whether you needed a larger or smaller x, so it's perfectly fine to try different answer choices. (C) is a sensible choice to test next, as it's the most manageable. It would leave you with 2 + 2 = 3 - 3, which is also false. (E) is the next most manageable. Plugging 5 in for x makes the equation
Step 4: Confirm Your Answer
Reread the original equation, making sure you didn't make a careless error such as switching the plus and minus signs
Name the country which is NOT a member of The South Asian Free Trade Area (SAFTA).- a)Maldives
- b)Pakistan
- c)Singapore
- d)Afghanistan
Correct answer is option 'C'. Can you explain this answer?
a)
Maldives
b)
Pakistan
c)
Singapore
d)
Afghanistan
|
|
Talent Triumphacademy answered |
The South Asian Free Trade Area (SAFTA):
Member nations: Bangladesh, Maldives, Bhutan, Nepal, India, Pakistan, and Sri Lanka.
Aims at lowering trade tariffs on interregional trade.
Thus, Singapore is NOT a member of SAFTA.
Member nations: Bangladesh, Maldives, Bhutan, Nepal, India, Pakistan, and Sri Lanka.
Aims at lowering trade tariffs on interregional trade.
Thus, Singapore is NOT a member of SAFTA.
According to the graph below, the greatest change in the profit of the Sports Shack occurred between which two consecutive months?
- a)March and April
- b)February and March
- c)January and February
- d)April and May
- e)May and June
Correct answer is option 'C'. Can you explain this answer?
According to the graph below, the greatest change in the profit of the Sports Shack occurred between which two consecutive months?
a)
March and April
b)
February and March
c)
January and February
d)
April and May
e)
May and June
|
|
Srestha Basu answered |
A January and February. The profit in January was $20,000. The profit in February was-$20,000 . This represents a change in profit of -$40,000, which is the greatest that the graph shows.
_______ is the process of rapid integration between countries- a)Investment
- b)Multinationalization
- c)Globalization
- d)Commercialization
Correct answer is option 'C'. Can you explain this answer?
a)
Investment
b)
Multinationalization
c)
Globalization
d)
Commercialization
|
|
Talent Triumphacademy answered |
Globalization is the process of rapid integration or interconnection between countries.
Name the country which is NOT a member of The South Asian Free Trade Area (SAFTA).- a)Maldives
- b)Pakistan
- c)Singapore
- d)Afghanistan
Correct answer is option 'C'. Can you explain this answer?
a)
Maldives
b)
Pakistan
c)
Singapore
d)
Afghanistan
|
|
Talent Triumphacademy answered |
The South Asian Free Trade Area (SAFTA):
Member nations: Bangladesh, Maldives, Bhutan, Nepal, India, Pakistan, and Sri Lanka.
Aims at lowering trade tariffs on interregional trade.
Thus, Singapore is NOT a member of SAFTA.
Member nations: Bangladesh, Maldives, Bhutan, Nepal, India, Pakistan, and Sri Lanka.
Aims at lowering trade tariffs on interregional trade.
Thus, Singapore is NOT a member of SAFTA.
If a, b, and c are not equal to zero, what is the difference between the maximum and minimum value of S? S
- a)12
- b)14
- c)22
- d)20
- e)18
Correct answer is option 'E'. Can you explain this answer?
If a, b, and c are not equal to zero, what is the difference between the maximum and minimum value of S? S
a)
12
b)
14
c)
22
d)
20
e)
18
|
Piyush Sarangi answered |
Max vlue = 11 (1+1+2+3+4)
min.value= -9(1-1-2-3-4)
diff = 20 (d)
Chapter doubts & questions for Problem Solving - General Intelligence and Reasoning for SSC CGL 2025 is part of SSC CGL exam preparation. The chapters have been prepared according to the SSC CGL exam syllabus. The Chapter doubts & questions, notes, tests & MCQs are made for SSC CGL 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests here.
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General Intelligence and Reasoning for SSC CGL
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