Test: Problems on Ages - 1 - SSC CGL MCQ

# Test: Problems on Ages - 1 - SSC CGL MCQ

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## 18 Questions MCQ Test Quantitative Aptitude for SSC CGL - Test: Problems on Ages - 1

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

### 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.

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

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).

Test: Problems on Ages - 1 - Question 2

### 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

Detailed Solution for Test: Problems on Ages - 1 - Question 2
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
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Test: Problems on Ages - 1 - Question 3

### Two years ago the ratio of ages of A and B was 5:7. Two years hence the ratio of their ages will be 7:9. What is the present age of B.

Detailed Solution for Test: Problems on Ages - 1 - Question 3

Let x,y be present ages of A,B.
x-2/y-2=5/7 implies 7x-5y=4 -(1)
x+2/y+2=7/9 implies 9x-7y=-4. (2)

(1) * 7 - (2) * 5 gives x=12
7(12) - 5y = 4
84 - 5y = 4
80 = 5y
16 = y
substitute and get y which would be 16

Test: Problems on Ages - 1 - Question 4

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.

Detailed Solution for Test: Problems on Ages - 1 - Question 4

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

Test: Problems on Ages - 1 - Question 5

The ratio between the present age of Radha and Seema is 5:4. Four years ago Seema’s age was 24 years. What will be the age of Radha after 5 years.

Test: Problems on Ages - 1 - Question 6

The ratio between the present ages of Radha and Seema is 5:7. After 8 years Radha’s age will be 28 years. What was Seema’s age 5 years ago.

Detailed Solution for Test: Problems on Ages - 1 - Question 6

The correct option is E.
Let the present age of Radha be 5x So 8 yrs back , i.e, at present she is 20.
this means 5x = 20 => x = 4
Then Seema 's age = 7x = 7*4 = 28yrs.
Five yrs ago , her age was 28 - 5 = 23yrs.

Test: Problems on Ages - 1 - Question 7

In a family the average age of the father and mother is 38 years, whereas the average age of father, mother and only daughter is 28 years. The age of daughters is

Detailed Solution for Test: Problems on Ages - 1 - Question 7

The correct option is C.
Let father's age be x, mother's age be y and daughter's age be z.

(x+y)/2 = 38
x+y = 76

(x+y+z)/3 = 28
(76+z)/3 = 28
76+z = 84
z = 8 years

Test: Problems on Ages - 1 - Question 8

At present A is twice as old as B. Eight years hence, the ratio between the ages of A and B will be 22:13. What is A’s present age.

Test: Problems on Ages - 1 - Question 9

At present Tarun is twice the age of Vishal and half of Tanvi’s age. After four years Tarun will be 1.5 times Vishal’s age and Tanvi will be 2.5 times Vishal’s age. What is Tanvi’s present age?

Detailed Solution for Test: Problems on Ages - 1 - Question 9
Vishal's present age = x years
Tarun's present age = 2x years
Tanvi's present age = 4x years
After 4 years.
Tarun's age = 1.5 * Vishal's age
=> 2x + 4 = 1.5(x+4)
=> 2x - 1.5x = 2
=>0.5x = 2 => x = 2/0.5 = 4
Tanvi's present age = 16 years.
Test: Problems on Ages - 1 - Question 10

On Teacher’s Day, 4800 sweets were to be equally distributed among a certain number of children. But on that particular day 100 children were absent. Hence, each child got four sweets extra. How many children were originally supposed to be there?

Detailed Solution for Test: Problems on Ages - 1 - Question 10
Let the original number of children be x.

∴ 4800/x-100 - 4800/x = 4

=> 4800((x-x+100)/(x(x-100))) = 4

=> x(x-100) = 1200 * 100

=> x(x-100) = 400(400-100)

=> x = 400
Test: Problems on Ages - 1 - Question 11

The ratio between the present ages of P and Q is 6:7. If Q is four years older than P, what will be the ratio of the ages of P and Q after 4 years?

Detailed Solution for Test: Problems on Ages - 1 - Question 11

P:Q = 6:7 i.e P/Q = 6/7 => 7P = 6Q--------1
Given that Q = P + 4 (put in 1)
7P = 6(P + 4)
So, P = 24 and Q = P+4 i.e 28years
After 4 years, P+4 i.e 24+4= 28yrs
And Q = 28 +4 = 32years
The ratio we get is 7:8
None of the above mentioned options are correct so option 'E' is correct

Test: Problems on Ages - 1 - Question 12

Present age of X and Y are in the ratio 5:6 respectively. Seven years hence this ratio will become 6:7 respectively. Wat is X’s present age?

Test: Problems on Ages - 1 - Question 13

The age of father 10 years ago was thrice the age of his son. Ten years hence, father’s age will be twice that of his son. The ratio of their present ages is

Detailed Solution for Test: Problems on Ages - 1 - Question 13

The correct option ia B.
Let the ages of father and son 10 years ago be 3x and x years respectively.
Then, (3x + 10) + 10 = 2[(x + 10) + 10]
⇒ 3x + 20 = 2x + 40
⇒ x = 20
∴ Required ratio
= (3x + 10) : (x + 10)
= 70 : 30
= 7 : 3

Test: Problems on Ages - 1 - Question 14

The total age of A and B is 12 years  more than the total age of B and C. C is how many years younger than A?

Detailed Solution for Test: Problems on Ages - 1 - Question 14

The correct option is A.
Given that A+B = 12 + B + C
⇒ A – C = 12 + B – B = 12
⇒ C is younger than A by 12 years

Test: Problems on Ages - 1 - Question 15

The difference between the ages of two persons is 10 years. Fifteen years ago, the elder one was twice as old as the younger one. The present age of elder person is?

Detailed Solution for Test: Problems on Ages - 1 - Question 15
Let the elder person be 'A' and younger be 'B'. A - B = 10. A = 10 +B. 15 years ago,A -15 = 2(B-15) 10 + B - 15 = 2(B - 15). B -5 = 2B - 30. B = 25 A = B + 10 Therefore, A = 35
Test: Problems on Ages - 1 - Question 16

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

Detailed Solution for Test: Problems on Ages - 1 - Question 16
When son was born father was of 19
now father 38 and son 19
age of son 5 years back =14 years
Test: Problems on Ages - 1 - Question 17

Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?

Detailed Solution for Test: Problems on Ages - 1 - Question 17

Mother's age when Ayesha's brother was born = 36 years.

Father's age when Ayesha's brother was born = (38 + 4) years = 42 years.

Required difference = (42 - 36) years = 6 years.

Test: Problems on Ages - 1 - Question 18

If 6 years are subtracted from the present age of Gagan and the remainder is divided by 18,then the present age of his grandson Anup is obtained. If Anup is 2 years younger to Madan whose age is 5 years,then what is Gagan's present age?

Detailed Solution for Test: Problems on Ages - 1 - Question 18

The correct option is B.
Let gagan's age be "x".
anup's age = (x-6)/18
madan's age=5 therefore anup's age =3
btp,
(x-6)/18=3
so x=60

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## Quantitative Aptitude for SSC CGL

314 videos|170 docs|185 tests