Ages Test-2

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Ages Test-2

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Weekly Quiz Competition

Question 1
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If the ages (in years) of A, B and C are different prime numbers between 40 and 50, what is the age of the second oldest among the three?

A
41 years

B
43 years

C
47 years

D
49 years

Solution

Prime numbers between 40 and 50 = 41, 43 and 47
So the age of the second oldest among the three = 43 years
Hence, Option B is correct.
Question 2
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The age of Rohit is 25% more than the age of Sachin. If the sum of their ages is 45 years, what is the difference between their ages?

A
2 years

B
3 years

C
4 years

D
5 years

Solution

To find the difference between Rohit and Sachin 's ages:

- Let 's say Sachin 's age is x years.
- Rohit 's age is 25% more, which is 1.25x.
- Given, their total age is 45 years: x + 1.25x = 45.
- 2.25x = 45
- x = 20
there difference 1.25x - x = 0.25x = 0.25 x 20 = 5
Question 3
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The ages of A, B and C are ‘X ’years, ‘X + 50 ’years and ‘X –20 ’years respectively, if the average age of all three is 40 years, what is the value of X?

A
20

B
25

C
30

D
33.33

Solution

3X + 30 = 120

Hence, Option C is correct.
Question 4
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If the age of Mohit is 250% more than the age of Jeenat and the sum of their ages is 54 years, what is the age of Jeenat?

A
8 years

B
10 years

C
12 years

D
16 years

Solution

Let the age of Jeenat be xxx years.

Since Mohit 's age is 250% more than Jeenat 's, Mohit 's age will be:

x+2.5x=3.5x

The sum of their ages is 54 years, so:

x+3.5x=54

Simplifying:

4.5x=54

Thus, Jeenat 's age is 12 years .

The correct answer is:

3. 12 years .
Question 5
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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

Solution

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.
Question 6
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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

Solution

Hence, Option D is correct.
Question 7
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The ratio of the current age of A to that of B is 10 : 9. 16 years hence, the ratio of the age of A to that of B will be 13 : 12. What is the current age of B?

A
32 years

B
36 years

C
40 years

D
48 years

Solution

Let the current age of A = 10x
The current age of B = 9x

120x + 192 = 117x + 208
3x = 16

Hence, Option D is correct.
Question 8
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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

Solution

80% of Vishal = 50% of Shivam
Vishal : Shivam = 5 : 8
Sum of their ages = 39 ×2 = 78 years

Hence, Option A is correct.
Question 9
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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

Solution

Hence, Option D is correct.
Question 10
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The ratio of the current age of A to that of B is 8 : 5. 14 years hence, the ratio of the age of A to that of B will be 5 : 4. What is the difference between their ages?

A
2 years

B
4 years

C
6 years

D
8 years

Solution

Let the current age of A = 8x
The current age of B = 5x

32x + 56 = 25x + 70
7x = 14
x = 2
Reqd. difference = (8x –5x) = 3x = 3 ×2 = 6 years
Hence, Option C is correct.
Question 11
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If the age of Rahul is 60% more than the age of Ajay and the sum of their ages is 91 years, what is the difference between their ages?

A
15 years

B
16 years

C
18 years

D
21 years

Solution

Ages →Ajay : Rahul = 100 : (100 + 60) = 5 : 8

Hence, Option D is correct.
Question 12
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5 years ago the ratio of the age of A to that of B was 7 : 6. 20 years hence, the ratio of the age of A to that of B will be 22 : 21. What is the sum of their current ages?

A
30 years

B
31.67 years

C
33.33 years

D
36 years

Solution

Let the age of A 5 years ago = 7x
The age of B 5 years ago = 6x

147x + 525 = 132x + 550
15x = 25

So the answer = (7x + 5 + 6x + 5) = 13x + 10

Hence, Option B is correct.
Question 13
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The average age of Manan, Shaket and Dileep is 48 years. If the ratio of the age of Manan to that of Shaket to that of Dileep is 6 : 7 : 5, what is the difference between the ages of Manan and Dileep?

A
4 years

B
5 years

C
6 years

D
8 years

Solution

Sum of their ages = 48 ×3 = 144 years

Hence, Option D is correct.
Question 14
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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

Solution

Hence, Option D is correct.
Question 15
1 / -0.25

If the average age of A and B is 44 years and the ratio of the age of A to that of B is 5 : 6, what was the ratio of the age of A to that of B 16 years back?

A
1 : 2

B
2 : 3

C
3 : 4

D
4 : 5

Solution

Sum of the current ages = 44 ×2 = 88 years

So the answer = 40 –16 : 48 –16 = 24 : 32 = 3 : 4
Hence, Option C is correct.