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UPSC General Ability and Intelligence - Problems on Ages Model Questions

UPSC General Ability and Intelligence - Problems on Ages Question Paper 1

Exam Duration: 45 Mins Total Questions : 30

1 )

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

(a)
3 : 4
(b)
3 : 5
(c)
4 : 3
(d)
Data inadequate
(e)
None of these

2 )

At present,the ratio between the ages of Arun and Deepak is 4:3 After 6 years,Arun's age will be 26 years,What is the age of the Deepak at present?

(a)
12 years
(b)
15 years
(c)
19\(\frac{1}{2}\) years
(d)
21 years

3 )

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

(a)
35
(b)
42
(c)
49
(d)
Cannot be determined
(e)
None of these

4 )

Present ages of Sameer and Anand are in the ratio of 5 : 4 respectively.Three years hence,the ratio of their ages will become 11 : 9 respectively.What is Anand's present age in years?

(a)
24
(b)
27
(c)
40
(d)
Cannot be determined
(e)
None of these

5 )

Six years ago,the ratio of the ages of Kunal and Sagar was 6 : 5.Four years hence,the ratio of their ages will be 11 : 10.What is Sagar's age at present?

(a)
16 years
(b)
18 years
(c)
20 years
(d)
Cannot be determined
(e)
None of these

6 )

The ratio of the present ages of two brothers is 1 : 2 and 5 years back,the ratio was 1 : 3.What will be the ratio of their ages after 5 years?

(a)
1 : 4
(b)
2 : 3
(c)
3 : 5
(d)
5 : 6

7 )

Hitesh is 40 years old and Ronnie is 60 years old.How many years ago was the ratio of their ages 3 : 5 ?

(a)
5 years
(b)
10 years
(c)
20 years
(d)
37 years

8 )

The ratio of the father's age to his son's age is 7 : 3.The product of their ages is 756.The ratio of their ages after 6 years will be :

(a)
5 : 2
(b)
2 : 1
(c)
11 : 7
(d)
13 : 9

9 )

The ratio between the school ages of Neelam and Shaan is 5 : 6 respectively. If the ratio between the one - third age of Neelam and half of Shaan's age is 5 : 9,then what is the school age of Shaan?

(a)
25 years
(b)
30 years
(c)
36 years
(d)
Cannot be determined
(e)
None of these

10 )

The ratio between the present ages of A and B is 5 : 3 respectively.The ratio between A's age 4 years ago and B's age 4 years hence is 1 : 1.What is the ratio between A's age 4 years hence and B's age 4 years ago?

(a)
1 : 3
(b)
2 : 1
(c)
3 : 1
(d)
4 : 1
(e)
None of these

11 )

A is two years older than B who is twice as old as C.If the total of the ages of A,B and C be 27,then how old is B?

(a)
7
(b)
8
(c)
9
(d)
10
(e)
11

12 )

A man is 24 years older than his son.In two years,his age will be twice the age of his son.The present age of the son is :

(a)
14 years
(b)
18 years
(c)
20 years
(d)
22 years

13 )

A person's present age is two-fifth of the age of his mother.After 8 years,he will be one-half the age of his mother.How old is the mother at present ?

(a)
32 years
(b)
36 years
(c)
40 years
(d)
48 years

14 )

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 age is :

(a)
5 : 2
(b)
7 : 3
(c)
9 : 2
(d)
13 : 4

15 )

The sum of the present ages of a father and his son is 60 years.Six years ago,father's age was five times the age of the son.After 6 years,son's age will be:

(a)
12 years
(b)
14 years
(c)
18 years
(d)
20 years

16 )

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

(a)
12
(b)
24
(c)
C is elder than A
(d)
Data inadequate
(e)
None of these

17 )

Q is as much younger than R as he is older than T.If the sum of the ages of R and T is 50 years,what is definitely the difference between R and Q's age?

(a)
1 year
(b)
2 years
(c)
25 years
(d)
Data inadequate
(e)
None of these

18 )

The sum of the ages of 5 children born at the intervals of 3 years each is 50 years.What is th age of the youngest child ?

(a)
4 years
(b)
8 years
(c)
10 years
(d)
None of these

19 )

Father is aged three times more than his son Ronit.After 8 years,he would be two and a half times of Ronit's age.After further 8 years,how many times would he be of Ronit's age?

(a)
2 times
(b)
\(2\frac {1}{2}\) times
(c)
\(2\frac {3}{4}\)times
(d)
3 times

20 )

A father said to his son,"I was as old as you are at present at the time of your birth."If the father's age is 38 years now ,the son's age five years back was :

(a)
14 years
(b)
19 years
(c)
33 years
(d)
38 years

21 )

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?

(a)
48 years
(b)
60 years
(c)
84 years
(d)
96 years

22 )

What is Sonia's present age?

I.Sonia's present age is five times Deepak's present age.

II.Five years ago her age was twenty-five times Deepak's age at that time.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

23 )

What is Reena's present age ?

I.Reena's present age is five times her son's present age.

II.Reena's age two years hence will be three times her daughter's age at the time.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

24 )

What is average age of A and B?

I.The ratio between one-fifth of A's age and one-fourth of B's age is 1 : 2.

II.The product of their ages is 20 times B's age.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

25 )

Average age of employees working in a department is 30 years.In the next year,ten workers will retire.What will be the average age in next year ?

I.Retirement age is 60 years.

II.There are 50 employees in the department.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

26 )

Divya is twice as old as Shruti.What is the difference in their ages?

I.Five years hence,the ratio of their ages would be 9 : 5

II.Ten years back,the ratio of their ages was 3 : 1.

(a)
if the data in Statement I alone are sufficient to answer the question,while the data in Statement II alone are not sufficient to answer the question
(b)
if the data in Statement II alone are sufficient to answer the question,while the data in Statement I alone are not sufficient to answer the question
(c)
if the data either in Statement I or in Statement II alone are sufficient to answer the question
(d)
if the data even in both Statements I and II together are not sufficient to answer the question
(e)
if the data in both Statements I and II together are necessary to answer the question.

27 )

What is the difference between the ages of Y and X ?

I.The ratio between the ages of X and Y is 2 : 3.
II.Y's age is 50% more than X's age.
III.One-fourth of X's age is equal to one-sixth of Y's age.

(a)
All I,II and III
(b)
Any two of the three
(c)
III, and either I or II
(d)
Only I and II
(e)
Question cannot be answered even with information in all three statements.

28 )

What is Arun's present age ?

I.Five years ago,Arun's age was double that of his son's age at that time.
II.Present ages of Arun and his son are in the ratio of 11 : 6 respectively.
III.Five years hence,the respective ratio of Arun's age and his son's age will become 12 : 7.

(a)
Only I and II
(b)
Only II and III
(c)
Only I and III
(d)
Any two of the three
(e)
None of these

29 )

What is Ravi's present age ?

I.The present age of Ravi is half of that of his father.
II.After 5 years,the ratio of Ravi's age to that of his father's age will be 6 : 11.
III.Ravi is 5 years younger than his brother.

(a)
I and II only
(b)
II and III only
(c)
I and III only
(d)
All I,II and III
(e)
Even with all the three statements answer cannot be given

30 )

What is the difference between the present ages of Ayush and Deepak ?

I.The ratio between Ayush's present age and his age after 8 years is 4 : 5.
II.The ratio between the present ages of Ayush and Deepak is 4 : 3.
III. The ratio between Deepak's present age and his age four years ago is 6 : 5.