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All questions of Number Play for Class 6 Exam

How many 1-digit numbers exist?
  • a)
    8
  • b)
    10
  • c)
    9
  • d)
    11
Correct answer is option 'B'. Can you explain this answer?

EduRev Class 6 answered
Whole numbers from 0 to 9 are all 1-digit numbers:
→ {0, 1, 2, 3, 4, 5, 6, 7, 8, 9} = 10 numbers
If the question had asked about natural numbers, the correct answer would have been 9 (1 to 9 only).

Which of the following is not equal to zero?
  • a)
    (5 - 0) ÷ 5
  • b)
    (10 - 10) ÷ 5
  • c)
    0 ÷ 5
  • d)
    0 × 5
Correct answer is option 'A'. Can you explain this answer?

Charvi Chauhan answered
Understanding the Options
To determine which option is not equal to zero, let's analyze each one step by step.
Option A: (5 - 0) ÷ 5
- Calculation:
- 5 - 0 = 5
- 5 ÷ 5 = 1
- Result: This equals 1, which is not zero.
Option B: (10 - 10) ÷ 5
- Calculation:
- 10 - 10 = 0
- 0 ÷ 5 = 0
- Result: This equals 0.
Option C: 0 ÷ 5
- Calculation:
- 0 ÷ 5 = 0
- Result: This equals 0.
Option D: 0 × 5
- Calculation:
- 0 × 5 = 0
- Result: This equals 0.
Conclusion
- The only option that does not equal zero is Option A: (5 - 0) ÷ 5, which equals 1.
- All other options (B, C, and D) result in zero.
Therefore, the correct answer is indeed Option A. This exercise helps reinforce the understanding of basic arithmetic operations and their outcomes.

The successor of 100199 is
  • a)
    100199
  • b)
    100200
  • c)
    101000
  • d)
    none of these
Correct answer is option 'B'. Can you explain this answer?

Anirban Saini answered
Understanding Successors
The concept of a successor in mathematics refers to the number that comes directly after a given number. In this case, we are looking for the successor of the number 100199.
Finding the Successor
To find the successor:
- Add 1 to the number: The rule for finding a successor is simple. You just need to add 1 to the number in question.
- Calculation:
- 100199 + 1 = 100200
Thus, the successor of 100199 is 100200.
Options Analysis
Let's analyze the provided options to confirm the correct answer:
- Option a: 100199 - This is the original number, not the successor.
- Option b: 100200 - This is the correct answer, as it is the result of adding 1 to 100199.
- Option c: 101000 - This number is significantly larger and not the direct successor.
- Option d: none of these - This is incorrect as we have identified the correct successor.
Conclusion
The correct answer is indeed option 'B', which is 100200. By understanding the concept of successors and applying the simple addition rule, we can easily determine the number that follows any given integer.

Which of the following represents a palindromic date?
  • a)
    02/03/2022
  • b)
    10/12/2020
  • c)
    12/02/2021
  • d)
    none of the above 
Correct answer is option 'C'. Can you explain this answer?

Praveen Kumar answered
 palindrome date is 12/02/2021.
When written in the format DD/MM/YYYY, it reads the same forwards and backwards:
12/02/202112022021 (which is the same forwards and backwards).

The number of whole numbers between 22 and 54 is
  • a)
    31
  • b)
    32
  • c)
    42
  • d)
    30
Correct answer is option 'A'. Can you explain this answer?

Palak Nambiar answered
Understanding the Range
To find the number of whole numbers between 22 and 54, we first need to clarify what "between" means in this context. We are looking for whole numbers that are greater than 22 and less than 54.
Identifying Whole Numbers
The whole numbers between 22 and 54 include:
- 23
- 24
- 25
- ...
- 53
Counting the Whole Numbers
To count these numbers, we can use the formula for counting integers in a range:
1. Identify the starting point and endpoint:
- Starting point: 23 (the first whole number greater than 22)
- Endpoint: 53 (the last whole number less than 54)
2. Count the total numbers:
- The formula for counting whole numbers between two numbers is:
(Endpoint - Starting point) + 1
- Plugging in our numbers:
(53 - 23) + 1 = 30 + 1 = 31
Conclusion
Thus, the total number of whole numbers between 22 and 54 is 31. Therefore, the correct answer is option 'A'.
This approach shows how to systematically find the count of numbers in a given range, ensuring clarity and accuracy in the solution.

Which of the following is the smallest whole number?
  • a)
    0
  • b)
    1
  • c)
    2
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
Whole numbers include all non-negative integers starting from 0. They are defined as:
  • 0
  • 1
  • 2
  • 3
  • 4
  • 5
  • and so on.
This makes 0 the smallest whole number.

Number of whole numbers between 38 and 68 is
  • a)
    28
  • b)
    29
  • c)
    30
  • d)
    31
Correct answer is option 'B'. Can you explain this answer?

Palak Nambiar answered
Understanding the Problem
To find the number of whole numbers between 38 and 68, we need to focus on what "between" means. This implies we should not include the endpoints, 38 and 68, themselves.
Identifying the Range
The whole numbers we are interested in are:
- Start: 39 (the first whole number after 38)
- End: 67 (the last whole number before 68)
Counting the Whole Numbers
Now, we can count the whole numbers from 39 to 67:
- The sequence of numbers is: 39, 40, 41, ..., 67.
Calculating the Count
To find how many numbers are in this range, we can use the formula:
- Count = (Last number - First number) + 1
Plugging in our values:
- Count = (67 - 39) + 1
This simplifies to:
- Count = 28 + 1 = 29
Conclusion
Thus, the total number of whole numbers between 38 and 68 is 29. Therefore, the correct answer is option 'B'.
Summary of Steps
- Identify the starting number (39) and ending number (67)
- Count the numbers in the range
- Use the formula to calculate the total
This method ensures that you accurately find the count of whole numbers in any given range.

Which of the following numbers is a prime number?
  • a)
    27
  • b)
    29
  • c)
    39
  • d)
    49
Correct answer is option 'B'. Can you explain this answer?

Sounak Ghoshal answered
Understanding Prime Numbers
A prime number is defined as a natural number greater than 1 that has no positive divisors other than 1 and itself. This means a prime number can only be divided evenly by 1 and the number itself.
Analyzing Each Option
- Option a: 27
- Divisors: 1, 3, 9, 27
- Not prime (divisible by 3 and 9).
- Option b: 29
- Divisors: 1, 29
- Prime number (only divisible by 1 and 29).
- Option c: 39
- Divisors: 1, 3, 13, 39
- Not prime (divisible by 3 and 13).
- Option d: 49
- Divisors: 1, 7, 49
- Not prime (divisible by 7).
Conclusion
Among the given options, only 29 meets the criteria of a prime number. It has no divisors other than 1 and itself, confirming that option 'B' is indeed the correct answer. Understanding the properties of prime numbers helps in identifying them accurately.

If a number 38,800 is formed using 25,000, 13,000, and two 400s, what is the missing number?
  • a)
    400
  • b)
    300
  • c)
    500
  • d)
    0
Correct answer is option 'D'. Can you explain this answer?

Surbhi Patel answered
Understanding the Problem
To find the missing number that contributes to the total of 38,800, we can break down the components provided:
- 25,000
- 13,000
- Two 400s
Calculating the Known Values
Let's sum the known numbers:
- 25,000 + 13,000 = 38,000
- Adding two 400s: 400 + 400 = 800
- Now sum these values: 38,000 + 800 = 38,800
Finding the Missing Number
To determine the missing number, we can subtract the sum of the known values from the total:
- Total: 38,800
- Known sum: 38,000 + 800 = 38,800
When we check the difference:
- 38,800 - 38,800 = 0
Conclusion: The Missing Number
The missing number that, when added to 25,000, 13,000, and two 400s, results in 38,800 is:
- 0
Thus, the correct answer is option 'D', which is 0.
This reveals that no additional number is needed to achieve the total since all components already sum up perfectly to 38,800.

The product of the predecessor and the successor of the greatest 2-digit number is
  • a)
    9800
  • b)
    9700
  • c)
    none of these
  • d)
    9900
Correct answer is option 'A'. Can you explain this answer?

Sneha Rane answered
Understanding the Problem
To solve the problem, we first need to identify the greatest two-digit number.
Step 1: Identify the Greatest Two-Digit Number
- The greatest two-digit number is 99.
Step 2: Determine the Predecessor and Successor
- The predecessor of 99 is 98 (99 - 1).
- The successor of 99 is 100 (99 + 1).
Step 3: Calculate the Product
Now, we need to find the product of the predecessor and the successor:
- Predecessor (98) × Successor (100)
Step 4: Perform the Multiplication
- 98 × 100 = 9800
Conclusion
The product of the predecessor and the successor of the greatest two-digit number (99) is indeed 9800.
Thus, the correct answer is option 'A'.

What is the largest number that can be formed using the digits 6382?
  • a)
    8632
  • b)
    8362
  • c)
    8623
  • d)
    8236
Correct answer is option 'A'. Can you explain this answer?

Rahul Kumar answered
To form the largest number, arrange the digits in descending order. The largest number formed by 6382 is 8632.

How many digits are there in a 5-digit number?
  • a)
    4
  • b)
    5
  • c)
    6
  • d)
    7
Correct answer is option 'B'. Can you explain this answer?

Mehul Sharma answered
Number of Digits in a 5-Digit Number

Explanation:
A 5-digit number is a number that has 5 digits in total. Let's break down the explanation further:
  • Definition of a Digit: A digit is a symbol used to represent numbers from 0 to 9.
  • Understanding Digits in Numbers: In a multi-digit number, each place value position represents a power of 10. The rightmost digit is in the ones place, the next digit to the left is in the tens place, and so on.
  • Counting the Digits: To determine the number of digits in a 5-digit number, we simply count the total number of individual digits in the number. Since a 5-digit number has 5 places, it will have a total of 5 digits.


Therefore, the correct answer to the question "How many digits are there in a 5-digit number?" is option B) 5. A 5-digit number consists of 5 individual digits, each representing a specific place value within the number.

5 added to the smallest 6-digit number gives
  • a)
    1005
  • b)
    10005
  • c)
    1000005
  • d)
    100005
Correct answer is option 'D'. Can you explain this answer?

Get Idea answered
The smallest 6-digit number is 100000. Adding 5 to this number results in:
  • 100000 + 5 = 100005
Therefore, the correct answer is D.

Which of the following numbers is a supercell in the grid [45, 78, 92, 31, 20]?
  • a)
    45
  • b)
    31
  • c)
    92
  • d)
    20
Correct answer is option 'C'. Can you explain this answer?

EduRev Class 6 answered
Solution:
A supercell is a number greater than all its neighbouring cells. In the grid [45, 78, 92, 31, 60], we identify the supercell as follows:
  • For 45: Neighbour is 78 (right). Not a supercell.
  • For 78: Neighbours are 45 (left) and 92 (right). Not a supercell.
  • For 92: Neighbours are 78 (left) and 31 (right). This is a supercell.
  • For 31: Neighbours are 92 (left) and 60 (right). Not a supercell.
  • For 20: Neighbour is 31 (left). Not a supercell.
Therefore, the only supercell in the grid is 92.

In the number sequence for Collatz Conjecture starting with 12, what is the next number after 6?
  • a)
    3
  • b)
    10
  • c)
    7
  • d)
    5
Correct answer is option 'A'. Can you explain this answer?

Rohini Seth answered
According to the Collatz Conjecture, if a number is even, it is divided by 2. The next number after 6 (which is even) is 6 ÷ 2 = 3.

The value of (93 × 63 + 93 × 37) is
  • a)
    9300
  • b)
    93000
  • c)
    none of these
  • d)
    930
Correct answer is option 'A'. Can you explain this answer?

Understanding the Expression
The expression we need to evaluate is (93 × 63 + 93 × 37). This can be simplified using the distributive property of multiplication.
Applying the Distributive Property
The distributive property states that a(b + c) = ab + ac. We can factor out the common term (93) from both parts of the expression:
- 93 × (63 + 37)
Calculating the Sum Inside the Parentheses
Next, we calculate the sum inside the parentheses:
- 63 + 37 = 100
Substituting Back into the Expression
Now, we substitute this sum back into our expression:
- 93 × (100)
Final Calculation
Finally, we multiply:
- 93 × 100 = 9300
Conclusion
Thus, the value of (93 × 63 + 93 × 37) is 9300. Therefore, the correct answer is option 'A'.

The predecessor of the smallest 4-digit number is
  • a)
    999
  • b)
    1000
  • c)
    1001
  • d)
    99
Correct answer is option 'A'. Can you explain this answer?

Understanding the Concept of Predecessor
The predecessor of a number is the number that comes immediately before it. This concept is essential in understanding the sequence of numbers, especially when dealing with whole numbers.
Identifying the Smallest 4-Digit Number
- The smallest 4-digit number is 1000.
- A 4-digit number is defined as any number from 1000 to 9999.
Finding the Predecessor
- To find the predecessor of 1000, we simply subtract 1 from it.
- Therefore, the calculation is: 1000 - 1 = 999.
Understanding the Options
- a) 999
- b) 1000 (This is the number itself, not the predecessor)
- c) 1001 (This is the successor, not the predecessor)
- d) 99 (This is not related to 1000 as it falls outside the 4-digit range)
Conclusion
- The correct answer is indeed option A: 999.
- This is because 999 is the number that comes right before the smallest 4-digit number, 1000.
Understanding these concepts helps in grasping number sequences, which is vital in mathematics.

How many times does the digit '7' appear when writing all the numbers from 1 to 100?
  • a)
    10
  • b)
    15
  • c)
    20
  • d)
    25
Correct answer is option 'C'. Can you explain this answer?

Explanation:

Counting the digit '7' from 1 to 100:
- We need to count how many times the digit '7' appears in all the numbers from 1 to 100.
- The digit '7' appears in the numbers 7, 17, 27, 37, 47, 57, 67, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 87, 97.
- So, the digit '7' appears 20 times when writing all the numbers from 1 to 100.
Therefore, the correct answer is option C) 20.

Which of the following is NOT a pattern of time found on a 12-hour clock?
  • a)
    4:44
  • b)
    10:10
  • c)
    13:13
  • d)
    12:12
Correct answer is option 'C'. Can you explain this answer?

Rohini Seth answered
On a 12-hour clock, 13:13 does not exist as the hour goes only up to 12. The other times (4:44, 10:10, 12:12) are valid patterns on a 12-hour clock.

In the Collatz sequence starting from 21, what is the fourth number?
  • a)
    16
  • b)
    32
  • c)
    64
  • d)
    42
Correct answer is option 'A'. Can you explain this answer?

Gunjan Lakhani answered
The sequence starting from 21 follows 21 → 64 → 32 → 16. The fourth number in the sequence is 16.

What is the reverse of the number 1234?
  • a)
    4321
  • b)
    3412
  • c)
    2143
  • d)
    3241
Correct answer is option 'A'. Can you explain this answer?

Pritam Kumar answered
Understanding the Reverse of a Number
To find the reverse of a number, we need to rearrange its digits in the opposite order.
Step-by-Step Process
- Identify the Digits: The number we are working with is 1234. It consists of four digits: 1, 2, 3, and 4.
- Reverse the Order: We take the last digit and move it to the front, followed by the other digits in reverse order.
- Start with the last digit: 4
- Next, take the third digit: 3
- Then the second digit: 2
- Finally, the first digit: 1
- Combine the Reversed Digits: Placing these digits together gives us 4321.
Conclusion
Thus, the reverse of the number 1234 is 4321, which is option 'A'.
Options Breakdown
- a) 4321 - This is the correct answer.
- b) 3412 - Incorrect, as the digits are not in reverse order.
- c) 2143 - Incorrect, as the digits are also not in reverse order.
- d) 3241 - Incorrect for the same reason.
By following these steps, we see that reversing the digits of the number 1234 successfully yields 4321, confirming that option 'A' is indeed the correct answer.

What is the smallest 4-digit number that, when reversed, gives a smaller number?
  • a)
    1000
  • b)
    1001
  • c)
    1100
  • d)
    1010
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
The smallest 4-digit number is 1000, but when reversed, it remains the same. 1001, when reversed, becomes 1001, which is the same, but 1001 is smaller than other options when comparing original and reversed numbers.

Which of the following statement is true?
  • a)
    13 - 21 is not a whole number
  • b)
    21 × 1 = 21 × 0
  • c)
    21 - 13 is not a whole number
  • d)
    21 – (13 - 5) = (21 - 13) - 5
Correct answer is option 'A'. Can you explain this answer?

Get Idea answered
Whole numbers are non-negative integers (e.g., 0, 1, 2, ...).
  • For option A: 13 - 21 = -8, which is not a whole number. Therefore, statement A is true.
  • Option B: 21 × 1 = 21 and 21 × 0 = 0. Since 21 ≠ 0, statement B is false.
  • Option C: 21 - 13 = 8, which is a whole number. Therefore, statement C is false.
  • Option D:
    • Left side: 21 - (13 - 5) = 21 - 8 = 13;
    • Right side: (21 - 13) - 5 = 8 - 5 = 3.
    Since 13 ≠ 3, statement D is false.
Thus, the correct answer is A.

How many 3-digit palindromic numbers can be created using the digits 1, 2, and 3?
  • a)
    2
  • b)
    4
  • c)
    6
  • d)
    8
Correct answer is option 'C'. Can you explain this answer?

Coachify answered
The possible 3-digit palindromes using the digits 1, 2, and 3 are 121, 131, 212, 232, 313, and 323. There are 6 such numbers.

Which of the following numbers is a palindrome?
  • a)
    34544
  • b)
    12321
  • c)
    65457
  • d)
    78998
Correct answer is option 'B'. Can you explain this answer?

Subset Academy answered
A palindromic number reads the same forward and backward. Among the given options, only 12321 is palindromic.

What is the Kaprekar constant for 4-digit numbers?
  • a)
    495
  • b)
    6174
  • c)
    8127
  • d)
    8372
Correct answer is option 'B'. Can you explain this answer?

Vp Classes answered
The Kaprekar constant for 4-digit numbers is 6174. No matter what 4-digit number you start with, if you repeat the steps of arranging digits in descending and ascending order, subtracting the smaller from the larger, you will eventually reach 6174.

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