Quantitative Aptitude Quiz (Questions, Problems with Answers) for UPSI: 26 April 2021

Q 1 - If the ratio of ages of two persons Ram and Sham is 5:4 . After Three years their age ratio changes and becomes 11:9.

In that case tell about the present age of Mr. Sham.

A - 23 years
B - 24 years
C - 25 years
D - 26 years

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Q 2 - A mother is 30 times older in comparison to her daughter. After 18 years, the mother's age would be thrice in comparison to his daughter's. In that case, tell about the present age of the mother.

A - 40 years
B - 41 years
C - 42 years
D - 43 years

Q 3 - The ratio of present ages of three persons Ajay, Vijay, and Sanjay are in the proportion of 4: 7: 9. Before 8 years the total sum of their ages is 56. What should be the present age?

A - 28 and 36 years
B - 28 and 38 years
C - 30 and 36 years
D - 36 and 28 years

Q 4 - The daughter's present age is 2/5 in comparison to her mother .8 Years later, the age of her daughter will be 1/2 in comparison to her mother. Find out the mother's present age.

A - 39 years.
B - 40 years
C - 41 years
D - 42 years
Q 5 - Ajay's age was double in comparison to Bhuvan before 3 years. Seven years hence, the sum of both ages would be 83 years. What should be the age at present of both?
A - 43 years
B - 44 years
C - 45 years
D - 46 years

Q 6 - I am 4 years older in comparison to my sister, but my brother who is the youngest among us is 7 years younger than me. My father is three times in comparison to my brother. The present age of my sister is 18 years and my father is 3 years older in comparison to my mother. In that situation what should be the present age of my mother?

A - 42 years
B - 43 years
C - 44 years
D - 45 years

Q 7 - Ajay is as much younger than Vijay as he is older than Vinay. 48 years is the sum of the ages of Vijay and Buwan. Then find out the present age of Mr. Ajay.

A - 21 years
B - 22 years
C - 23 years
D - 24 years

Q 8 - If 100 years is equal to the sum of the ages of father and son. 2:1 was the ratio of father and son before the period of 5 years. Find out the ratio of ages which would be after 10 years.

A - 3:4
B - 3:5
C - 4:3
D - 5:3
 
Q 9 - Father is four times the age of his daughter. If after 5 years, he would be there times of daughter’s age, then further after 5 years, how many times he would be of his daughter’s age?

A. 1.5 times
B. 2 times
C. 2.5 times
D. 3 times
 
Q10  What is Aman's present age, if after 20 years his age will be 10 times his age 10 years back?

A. 6.2 years
B. 7.7 years
C. 13.3 years
D. 10 years
 
Solution:

1.
Answer - B
Explanation

If the age of Mr. Ram is 5x and 4x is the age of Mr. Sham.

Then, (5x + 3) /( 4x+3) = 11/9  

⇒ 9 (5x+3) = 11 (4x+3) 

⇒ x= (33-27) = 6

So the present age of Mr. Sham = is 6*4 = 24 years.

 

2. 

 

Answer - A
Explanation

Let the daughter's present age be x years.

in that case, the mother's present age would be = 30x years  

30x + 18 = 3 (x+ 18) 

⇒ 27x = 36  

⇒ x = 4/3  

∴ so the present age of mother = (30* 4/3) = 40 years.

 

3.

 

Answer - A
Explanation

If the present age of Ajay, Vijay, and Sanjay is  4x, 7x, and 9x years.

The total sum of  ages of Ajay, Vijay, and Sanjay before 8 years  ago = (4x-8)+(7x-8)+(9x-8)

=(20x-24) years.

∴ 20x-24 = 56 ⇒ 20x = 80 ⇒ x= 4 

Hence,  it proves that the age of Ajay is 4*4 = 16 years, 

Vijay (7*4) = 28 years, and Sanjay (9* 4) = 36 years. 

 

4.

 

Answer - B
Explanation

If the present age of the mother is equal to x years.  

In that situation, the daughter's present age would be = 2x/5 years.

2x/5 + 8 = 1/2 (x+8) ⇒  4x+ 80 = 5x+40 ⇒ x = 40.

The mother's age at present is = 40 years.

 

 

5.

 

Answer - C
Explanation

Before  3 years let Bhuvan's age be x years. 

3 years before, Ajay's age will be  2x years. 

Now Bhuwan's age =(x+3) years and Ajay's age = (2x+3) years.

(x+3)+7+(2x+3)+7 = 83 ⇒  3x+20 = 83 ⇒ 3x = 63 ⇒ x = 21 

Now the human present age = (21+3) = 24 years 

Now the ajay present age = (2 *21+3) years = 45 years.

 

6.

 

Answer - A
Explanation

If my sister's age is x years. Then,

Sister  -    x 

I   -       x+4

Brother -  (x+4-7) = x-3

Father - 3 (x-3) 

Given x = 18

∴  Father's age =  3(18-3) = 45 years.

Mother age = (45-3) = 42 years.

 

7.

 

Answer - D
Explanation

V-A = A- B ⇒ V+B = 2A =48 ⇒ 24

Now,  We can say that the present age of Mr. Ajay is 24 years.

 

8.

 

Answer - D
Explanation

If the age of the father at present = x years 

His son's age at present =  (100-x) years.

x-5 / (100-x-5) = 2/1  ⇒ (x-5) = 2(95-x) ⇒ 3x = 195  ⇒ x = 65

Ratio of the ages of man and son after 10 years = (65+10)/(35+10)= 75/45 = 5/3

 

 

 

9.
 
Sol: Option C
Let the daughter's age be x and the father's age be 4x.
So as per question, 4x + 5 = 3(x + 5). So x = 10.
Hence present age of the daughter is 10 years and the present age of the father is 40 years.
So after 5 + 5 = 10 years, the daughter's age would be 20 years and the father’s age would be 50 years.
Hence father would be 50/20 = 2.5 times of daughter’s age.
 
10.
 
Sol: Option C
Let Aman's present age be x
Aman's age before 10 years = x - 10)
Aman's age after 20 years = (x + 20)
We are given that, Aman's age after 20 years (x + 20) is 10 times his age 10 years back (x – 10)
Therefore, (x + 20) = 10 (x – 10)
Solving the equation, we get x + 20 = 10x – 100
9x = 120, x = 13.3 years

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