All questions of Age for Bank Exams Exam

The ratio between the present ages of Ravi and Vinay is 7:15 respectively. Two years from now Vinay’s age will be twice that of Ravi’s age. What was the difference between their ages 5 years ago.
  • a)
    13 years                   
  • b)
    16 years
  • c)
    11 years                   
  • d)
    18 years
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Aspire Academy answered
The correct option is B.
Let the present age of Ravi be 7x and that of Vinay be 15x.
After 2 yrs , Ravi age = 7x+2
Vinay age = 15x+2.
Acc. to ques,
15x+2 = 2 (7x+2)
15x+2 = 14x+4
 x = 2.
Five yrs ago,
 Ravi age = 7x-5 => 7*2 - 5 = 9 yrs
 Vinay age = 15x - 5 = 15*2 - 5 = 25 yrs.
Difference = 25 - 9 = 16 years

The average age of a man and his son is 54 years. The ratio of their ages is 23: 13. What will be the ratio of their ages after 6 years.
  • a)
    10:7                         
  • b)
    5:3
  • c)
    4:3                           
  • d)
    3:2
  • e)
    None of these
Correct answer is option 'B'. Can you explain this answer?

Vertex Academy answered
To find the ratio of their ages after 6 years:

- Let the current ages be 23x and 13x.
avg age =sum/2
sum = avg age x 2
sum = 54x2 =108
- Their sum is 36x (23x + 13x = 36x), and this equals 108 years.
- So, 36x = 108 years, thus x = 3.
- After 6 years, their ages will be 23(3) + 6 = 75 and 13(3) + 6 = 45.
- The ratio of their ages after 6 years is 75:45, which simplifies to 5:3.
- This simplifies further to 5:3, which is the correct answer (Option B).

The average age of a man and his two twin sons is 30 years. The ratio of the ages of father and one of his sons is 5:2. What is the father’s age
  • a)
    50 years                   
  • b)
    30 years
  • c)
    45 years                   
  • d)
    20 years
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Let father's age be M and age of twins be 2x
(M + 2x)/3 = 30
M + 2x = 90------------(1)
M/x = 5/2
2M = 5x---------------(2)
Multiply (1) with 2
We get, 2M + 4x = 180--------------(3)
Putting (2) in (3)
5x+4x = 180 => 9x = 180x = 20. [his children are twins so 2x = 40]Since M + 2x = 90M = 90 -40 = 50years

A father said to his son, “At the time of your birth, I was as old as you are at present”. If father’s age is 38 years now the sons age 5 years back was
  • a)
    14 years                   
  • b)
    19 years
  • c)
    33 years                   
  • d)
    38 years
  • e)
    None of these
Correct answer is option 'A'. Can you explain this answer?

Prani Garg answered
HERE IS YOUR ANSWER.

Let the present age of son= x
At the time of birth of son,father age = x
So after x yrs i.e. at present age of father= 38
38=x+x
x= 38÷2= 19
So the present age of son is 19
Age of son before 5 yrs= 19-5= 14 yrs.

HOPE IT HELPS.

The average age of A, B, C and D is 20 years and their ages are in Arithmetic progression. If the youngest among them is 15 years old, what is the age of the oldest one?
  • a)
    15 years
  • b)
    20 years
  • c)
    21 years
  • d)
    25 years
Correct answer is option 'D'. Can you explain this answer?

G.K Academy answered
Since their ages are in Arithmetic progression, the average age of the youngest and oldest must be 20 years.
15 + The age of the oldest one = 20 × 2
The age of the oldest one = 40 – 15 = 25 years
Hence, Option D is correct.

The ratio of the ages of A, B and C is 2 : 3 : 5 respectively. The age of A is what percentage of the difference between the ages of B and C?
  • a)
    60
  • b)
    75
  • c)
    80
  • d)
    100
Correct answer is option 'D'. Can you explain this answer?

Ishaan Roy answered
Understanding the Age Ratio
The ages of A, B, and C are in the ratio 2 : 3 : 5. This means we can represent their ages as:
- Age of A = 2x
- Age of B = 3x
- Age of C = 5x
Here, 'x' is a common multiplier for their ages.

Calculating the Difference Between Ages of B and C
To find the difference between the ages of B and C:
- Difference between ages of B and C = Age of C - Age of B
- Difference = 5x - 3x = 2x

Calculating Age of A as a Percentage of the Difference
Next, we need to find what percentage the age of A is of the difference calculated above:
- Age of A = 2x
- Difference = 2x
Now, we can calculate the percentage:
\[
\text{Percentage} = \left( \frac{\text{Age of A}}{\text{Difference}} \right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left( \frac{2x}{2x} \right) \times 100 = 1 \times 100 = 100\%
\]

Conclusion
The age of A is 100% of the difference between the ages of B and C. Therefore, the correct answer is option 'D'.
This demonstrates how the ratio of their ages directly correlates to the percentage calculation based on the differences in their ages.

The ratio of the ages of A, B and C is 5 : 3 : 5 respectively. The age of A is what percentage of the combined age of B and C?
  • a)
    37.50
  • b)
    40
  • c)
    48
  • d)
    62.50
Correct answer is option 'D'. Can you explain this answer?

Ishaan Roy answered
Understanding the Age Ratio
The ages of A, B, and C are given in the ratio of 5:3:5. This means:
- A's age = 5x
- B's age = 3x
- C's age = 5x
Here, 'x' is a common multiplier.

Calculating the Combined Age of B and C
To find the combined age of B and C:
- B's age + C's age = 3x + 5x = 8x

Finding the Percentage of A's Age to B and C's Combined Age
Now, we need to find what percentage A's age is of the combined age of B and C:
- A's age = 5x
- Combined age of B and C = 8x
The percentage is calculated using the formula:
\[
\text{Percentage} = \left(\frac{\text{A's age}}{\text{Combined age of B and C}}\right) \times 100
\]
Substituting the values:
\[
\text{Percentage} = \left(\frac{5x}{8x}\right) \times 100
\]
The 'x' cancels out:
\[
\text{Percentage} = \left(\frac{5}{8}\right) \times 100 = 62.5\%
\]

Conclusion
Thus, the age of A is **62.50%** of the combined age of B and C. Therefore, the correct answer is option **D**.

The ratio of the ages of A, B and C is 2 : 3 : 1 respectively. If the sum of their ages is 48 years, what is the age of C?
  • a)
    2 years
  • b)
    4 years
  • c)
    6 years
  • d)
    8 years
Correct answer is option 'D'. Can you explain this answer?

Ishaan Roy answered
Understanding the Problem
To find C's age given the ratio of A, B, and C's ages, we first need to break down the information provided.
Given Ratios
- The ratio of ages of A, B, and C is 2:3:1.
- This means if we let A's age be 2x, B's age be 3x, and C's age be x, where x is a common multiplier.
Sum of Ages
- The problem states that the sum of their ages is 48 years.
- Therefore, we can set up the equation:
- 2x + 3x + x = 48
Simplifying the Equation
- Combine the terms:
- 6x = 48
Solving for x
- Now, divide both sides by 6:
- x = 48 / 6
- x = 8
Finding Individual Ages
- Now that we have x, we can find the ages:
- A's age = 2x = 2 * 8 = 16 years
- B's age = 3x = 3 * 8 = 24 years
- C's age = x = 8 years
Conclusion
- Thus, the age of C is 8 years.
Therefore, the correct answer is option 'D'.

80% of the current age of Vishal is 50% of the current age of Shivam. If the average age of Shivam and Vishal is 39 years, what is the current age of Vishal?
  • a)
    30 years
  • b)
    32 years
  • c)
    36 years
  • d)
    40 years
Correct answer is option 'A'. Can you explain this answer?

Malavika Rane answered

Given Information:
- 80% of Vishal's current age = 50% of Shivam's current age
- Average age of Shivam and Vishal = 39 years

Let's solve the problem step by step:

Step 1: Express the Given Information Mathematically
Let V be the current age of Vishal and S be the current age of Shivam.

- 0.8V = 0.5S (80% of Vishal's age is equal to 50% of Shivam's age)
- (V + S) / 2 = 39 (Average age of Shivam and Vishal is 39)

Step 2: Solve the Equations
From the first equation, we can express S in terms of V:
0.8V = 0.5S
S = 1.6V

Substitute S = 1.6V into the second equation:
(V + 1.6V) / 2 = 39
2.6V / 2 = 39
1.3V = 39
V = 39 / 1.3
V = 30

Step 3: Determine Vishal's Current Age
Therefore, Vishal's current age is 30 years.

Conclusion:
The current age of Vishal is 30 years. Hence, option A (30 years) is the correct answer.

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