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Test: Problems on Ages - 2 - Quant MCQ


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15 Questions MCQ Test - Test: Problems on Ages - 2

Test: Problems on Ages - 2 for Quant 2024 is part of Quant preparation. The Test: Problems on Ages - 2 questions and answers have been prepared according to the Quant exam syllabus.The Test: Problems on Ages - 2 MCQs are made for Quant 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Problems on Ages - 2 below.
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Test: Problems on Ages - 2 - 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?

Detailed Solution for Test: Problems on Ages - 2 - Question 1

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.

Test: Problems on Ages - 2 - 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?

Detailed Solution for Test: Problems on Ages - 2 - Question 2

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

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Test: Problems on Ages - 2 - 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?

Detailed Solution for Test: Problems on Ages - 2 - Question 3


3X + 30 = 120

Hence, Option C is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 4

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.

 

 

 

 

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 5

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.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 6


Hence, Option D is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 7

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

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


Hence, Option D is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 8

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

Hence, Option A is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 9


Hence, Option D is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 10

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.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 11

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

Hence, Option D is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 12

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.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 13

Sum of their ages = 48 × 3 = 144 years

Hence, Option D is correct.

Test: Problems on Ages - 2 - 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?
Detailed Solution for Test: Problems on Ages - 2 - Question 14


Hence, Option D is correct.

Test: Problems on Ages - 2 - Question 15
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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?
Detailed Solution for Test: Problems on Ages - 2 - Question 15

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.

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