MCQ: Problem Based on Ages - 2 - SSC CGL MCQ

# MCQ: Problem Based on Ages - 2 - SSC CGL MCQ

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## 15 Questions MCQ Test - MCQ: Problem Based on Ages - 2

MCQ: Problem Based on Ages - 2 for SSC CGL 2024 is part of SSC CGL preparation. The MCQ: Problem Based on Ages - 2 questions and answers have been prepared according to the SSC CGL exam syllabus.The MCQ: Problem Based on Ages - 2 MCQs are made for SSC CGL 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for MCQ: Problem Based on Ages - 2 below.
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MCQ: Problem Based on Ages - 2 - Question 1

### The ratio of the present age of A to that of B to that of C is 4 : 5 : 6. The age of A 8 years later will be 75% of the age of C 4 years later. After how many years age of C will be twice the present age of A?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 1

A : B : C = 4 : 5 : 6
Let A = 4x, B = 5x and C = 6x
4x + 8 : 6x + 4 = 3 : 4
x = 10
A = 40, B = 50 and C = 60
C will be 2 × 40 = 80 years old in 80 – 60 = 20 years
Hence, Option A is correct.

MCQ: Problem Based on Ages - 2 - Question 2

### The age gap between A and C is twice that between A and B. A is older than B and the ratio of the maximum and minimum possible age of C is 7 : 1. What is the ratio of the age of A to B?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 2

Let the age of B = z
Age of A = z + x
Age of C = z + x + 2x or z + x – 2x
z + 3x or z – x
z + 3x : z – x = 7 : 1
z : x = 5 : 3
Ratio of the age of A : B = z + x : z = (5 + 3) : 5 = 8 : 5
Hence, Option D is correct.

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MCQ: Problem Based on Ages - 2 - Question 3

### Sujata and Anamika got married at the age of 20 and 24 years, respectively. The present ages of Sujata and Anamika are 60% and 75% more, respectively, than the ages at the time of their wedding. What will be the ratio of the age of Sujata to that of Anamika after 8 years?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 3

Present age of Sujata = 20 + 60% (20) = 32
Present age of Anamika = 24 + 75%(24) = 42
Reqd. ratio = 32 + 8 : 42 + 8 = 40 : 50 = 4 : 5
Hence, Option C is correct.

MCQ: Problem Based on Ages - 2 - Question 4

A couple got married in the year 2002 when their average age was 24 years. Some years later a daughter was born and in 2018 the average age of the couple and their daughter was 31. In which year, their daughter was born?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 4

The average age of the couple in 2018 = 24 + 16 = 40
Age of the daughter = 3 × 31 – 2 × 40 = 13
So, the daughter was born in the year 2018 – 13 = 2005
Hence, Option D is correct.

MCQ: Problem Based on Ages - 2 - Question 5

12 years later A will be thrice as old as he was 4 years ago. B is 4/3 times as old as A who is 4 years older than C. What is the ratio of the age of B to that of C?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 5

Age of A,
4 years ago = x, present = x + 4 and 12 years later = x + 16
x + 16 = 3x
x = 8
Present age of A = 12

Present age of C = 12 – 4 = 8
Reqd. ratio = 16 : 8 = 2 : 1
Hence, Option A is correct.

MCQ: Problem Based on Ages - 2 - Question 6

The age of A is 80% of the age of B whose age is 62.5% of the age of C. 6 years ago B was as old as the age difference between B and C. What is the present age (in years) of A?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 6

So, the present age of A is 12 years.

MCQ: Problem Based on Ages - 2 - Question 7

The age of Aman is 300% more than his daughter's and 150% more than his son's. If the product of the age of all three of them is 6400, what is the present age (in years) of the son?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 7

Aman : Son : Daughter = 20 : 8 : 5
20x × 8x × 5x = 6400
x = 2
Present age of Son = 16 years
Hence, Option D is correct.

MCQ: Problem Based on Ages - 2 - Question 8

The present age of A is ‘3x’ years and that of B is ‘4y’ years. 20 years ago, A was four times as old as B and 4 years ago the age of B was ‘2x – 4’ years. What is the ratio of the present age of A to that of B?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 8

Age of B 4 years ago = 2x – 4
Present age of B = 2x
Reqd. ratio = 3x : 2x = 3 : 2
Hence, Option B is correct.

MCQ: Problem Based on Ages - 2 - Question 9

The age of A is 20% less than that of B and 4 years later the age of B will be 22.22% more than that of A. What is the age gap between A and B?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 9

Present
A : B = 8 : 10
After 4 years
A : B = 9 : 11
(8x + 4) : (10x + 4) = 9 : 11
x = 4
Age gap between A and B = 2x = 8 years
Hence, Option A is correct.

MCQ: Problem Based on Ages - 2 - Question 10

The ratio of the age of A 5 years ago to the age of B 3 years later is y : z. If the difference between the age of A and B is 8 years, what is the value of ‘y + z’?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 10

We do not know between A and B who is elder.

So, the answer cannot be determined

Hence, Option D is correct.

MCQ: Problem Based on Ages - 2 - Question 11

The average age of 4 boys is 15 years and it becomes 17 years when a girl joins them. If one of the boys is 4 years younger than the girl, what is the average age of the other 3 boys?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 11

Age of the girl = 5 × 17 – 4 × 15 = 25 years
Age of one of the boys = 25 – 4 = 21
Age of the remaining 3 boys = 4 × 15 – 21 = 39

Hence, Option C is correct.

MCQ: Problem Based on Ages - 2 - Question 12

6 years ago, A was half as old as C and presently he is 2/3 times as old as B. 6 years from now, the ratio of the age of B to that of C will be 15 : 16. What is the present age (in years) of B?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 12

3x + 15 : 4x + 12 = 15 : 16
x = 5
Present age of B = 3x + 9 = 3 × 5 + 9 = 24 years
Hence, Option C is correct.

MCQ: Problem Based on Ages - 2 - Question 13

The sum of the age of A and B after 6 years from now will be 9 times the present age gap between them. If the ratio of the present age of A to that of B is 4 : 3, what is the present age (in years) of A?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 13

6 years later:
A – B = x
A + B = 9x
A : B = 5 : 4
Ratio of the present age of A : B = 4 : 3
As the difference is of 6 years
Present age of A = 4 × 6 = 24 years
Hence, Option B is correct.

MCQ: Problem Based on Ages - 2 - Question 14

The age at the time of wedding as a percentage of the age at the time of completing graduation is 160% for Aman and 133.33% for Varun. Aman and Varun completed their graduation on the same day at the age of 20 years and 21 years, respectively. What was the difference (in years) between the year of their wedding?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 14

Age at the time of wedding for Aman = 160% of 20 = 32
Age at the time of wedding for Varun = 133.33% of 21 = 28
They completed their graduation on the same day
Difference between year of wedding = (32 – 20) – (28 – 21) = 5
Hence, Option A is correct.

MCQ: Problem Based on Ages - 2 - Question 15

The ratio of the age of A to that of B is 5 : 4 and the ratio of the age of A to that of C is 3 : 5. If the product of the age of A and B is 720, what is the age (in years) of C?

Detailed Solution for MCQ: Problem Based on Ages - 2 - Question 15

Let the present age of A = 5x and B = 4x
5x × 4x = 720
x = 6
Present age of A = 5x = 30

Hence, Option B is correct.

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