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TNPSC Quantitative Aptitude - Problems on Ages Sample Question Paper

Quantitative Aptitude - Problems on Ages

Exam Duration: 60 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 )

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

7 )

The ratio of the ages of a man and his wife is 4 : 3.After 4 years,this ratio will be 9 : 7.If at the time of marriage,the ratio was 5 : 3,then how many years ago were they married?

(a)
8 years
(b)
10 years
(c)
12 years
(d)
15 years

8 )

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

9 )

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

10 )

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

11 )

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

12 )

Tanya's grandfather was 8 times older to her 16 years ago.He would be 3 times of her age 8 years from now.Eight years ago,what was the ratio of Tanya's age to that of her grandfather?

(a)
1 : 2
(b)
1 : 5
(c)
3 : 8
(d)
None of these

13 )

Four years ago,the father's age was three times the age of his son.The total of the ages of the father and the son after four years,will be 64 years.What is the father's age at present ?

(a)
32 years
(b)
36 years
(c)
44 years
(d)
Data inadequate
(e)
None of these

14 )

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

15 )

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

16 )

The age of a man is three times the sum of the ages of his two sons.Five years hence,his age will be double of the sum of the ages of his sons.the father's present age is :

(a)
40 years
(b)
45 years
(c)
50 years
(d)
55 years

17 )

The sum of the ages of a father and his son is 45 years.Five years ago,the product of their ages was 34.The ages of the son and the father are respectively :

(a)
6 and 39
(b)
7 and 38
(c)
9 and 36
(d)
11 and 34

18 )

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 the elder person is :

(a)
25 years
(b)
35 years
(c)
45 years
(d)
55 years

19 )

In 10 years,A will be twice as old as B was 10 years ago.If A is now 9 years older than B,the present age of B is :

(a)
19 years
(b)
29 years
(c)
39 years
(d)
49 years

20 )

Sneh's age is \(\frac{1}{6}\)th of her father's age.Sneh's father's age will be twice of Vimal's age after 10 years.If Vimal's eighth birthday was celebrated two years before,then what is Sneh's present age?

(a)
\(6\frac{2}{3}\)years
(b)
24 years
(c)
30 years
(d)
None of these

21 )

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 ?

(a)
2 years
(b)
4 years
(c)
6 years
(d)
8 years

22 )

My brother is 3 years elder to me.My father was 28 years of age when my sister was born while my mother was 26 years of age when I was born.If my sister was 4 years of age when my brother was born,then,what was the age of my father and mother respectively when my brother was born ?

(a)
32 yrs,23 yrs
(b)
32 yrs,29 yrs
(c)
35 yrs,29 yrs
(d)
35 yrs,33 yrs

23 )

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.

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 )

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.

26 )

What is the present age of A?

I.The sum of the ages of A and B is 21 years.
II.The difference of the ages of A and B is 5 years.
III.The product of the ages of A and B is 104 years.

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

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 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

29 )

What is the ratio of the present ages of Anna and her mother ?

I.The sum of the ages of Anna ,her mother and her father is 62.
II.Five years ago,Anna's age was one-fifth of her father's age.
III.Two years ago,the sum of the ages of Anna and her father was 36.

(a)
I or II only
(b)
II or III only
(c)
III only
(d)
I or III only
(e)
All I,II and III are required.

30 )

What will be the ratio between ages of Sam and Albert after 5 years ?

I.Sam's present age is more than Albert's present age by 4 years.
II.Albert's present age is 20 years.
III.The ratio of Albert's present age to Sam's present age is 5 : 6.