Ages Questions for IBPS Clerk Set-2 PDF
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Question 1: The respective ratio of the present ages of a mother and daughter is 7 : 1. Four years ago the respective ratio of their ages was 19:1. What will be the mother’s age four years from now ?
a) 42 years
b) 38 years
c) 46 years
d) 36 years
e) None of these
Question 2: The ages of Aarzoo and Arnav are in the ratio of 11:13 respectively.After 7 years the ratio of their ages will be 20:23. What is the difference in years between their ages ?
a) 4 years
b) 7 years
c) 6 years
d) 5 years
e) None of these
Question 3: 12 yr ago the ratio between the ages of A and B was 3:4 respectively. The present age of A is $3\frac{3}{4}$ times of C’s present age. If C’s present age is 10 yr, then what is B’s present age?
a) 48
b) 46
c) 60
d) 54
e) 36
Question 4: The ratio of the present ages of a mother and daughter is 7:1 Four years ago the ratio of their ages was 19:1 what will be the mother’s age four years from now ?
a) 42 years
b) 38 years
c) 46 years
d) 36 years
e) None of these
Question 5: 10 years ago, the ages of A and B were in the ratio of 13: 17. 17 years from now the ratio of their ages will be 10: 11. What is the age of B at present ?
a) 37 years
b) 40 years
c) 27 years
d) 44 years
e) None of these
Question 6: The ages of Nishi and Vinnee are in the ratio of 6:5 After 9 years the ratio of their ages will be 9:8 What is the difference in their ages ?
a) 9 years
b) 7 years
c) 5 years
d) 3 years
e) None of these
Question 7: The ratio of the ages A and B is 4: 3. The ratio of their ages eight years from now will be 6: 5. How old was A, when B was 7 years old ?
a) 16 years
b) 11 years
c) 9 years
d) 12 years
e) None of these
Question 8: At present Kavita is twice Sarita’s age Eight years hence the respective ratio between Kavita’s and Sarita’s ages then will be 22:13. What is Kavita’s present age ?
a) 26 yr
b) 18 yr
c) 42 yr
d) 36 yr
e) None of these
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Question 9: The ages of Samir and Tanuj are in the ratio of 8: 15 years respectively. After 9 years the ratio of their ages will be 11: 18. What is the difference in years between their ages ?
a) 24 years
b) 20 years
c) 33 years
d) 21 years
e) None of these
Question 10: The present ages of A, B and C are in the ratio of 8: 14: 22 respectively. The present ages of B, C and D are in ratio of 21: 33: 44 respectively. Which of the following represents the ratio of the present ages of A, B, C and D respectively ?
a) 12: 21: 33: 44
b) 12: 22: 31: 44
c) 12: 21: 36: 44
d) Cannot be determined
e) None of these
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Answers & Solutions:
1) Answer (C)
Let the present ages of mother and daughter be x and y respectively.
$\frac{y}{x} = \frac{1}{7}$ => x = 7y
$\frac{y-4}{x-4} = \frac{1}{19}$ => 19y – 76 = x – 4 => x = 19y – 72
=> 7y = 19y – 72 => y = 6 and x = 42
Age of mother 4 years from now = 42 + 4 = 46
2) Answer (C)
Let the ages of Aarzoo and Arnav be X and Y respectively.
Hence, $\frac{X}{Y}=\frac{11}{13}$
Similarly, $\frac{X+7}{Y+7}=\frac{20}{23}$
Solving both the equations, we get $X=33$ and $Y=39$
So, the difference in ages equals 6
3) Answer (B)
$\frac{a-12}{b-12} = \frac{3}{4}$
$\frac{a}{c}$ = $\frac{15}{4}$
c = 10 => a = 37.5
=> b = 46 years
4) Answer (C)
Let the present ages of daughter and mother be d and m respectively.
7d = m
19(d-4) = m-4
=> 19d – 76 = 7d – 4
=> 12d = 72
=> d = 6 and m = 42
Mother’s age four years from now will be 42 + 4 = 46
5) Answer (C)
Let the present ages of A and B be x and y.
10 years ago, the ages of A and B were in the ratio of 13: 17 i.e $\frac{x-10}{y-10}$ = $\frac{13}{17}$
i.e 17x – 13y = 40
17 years from now the ratio of their ages will be 10: 11. i.e $\frac{x+17}{y+17}$ = $\frac{10}{11}$
i.e 10y-11x = 17
Simultaneously solving the two equation we get, x=23 and y=27 years.
Option C is correct answer.
6) Answer (D)
Let the agesof Nishi and Vinnee be x and y.
Now, as per given conditions,
(x/y) = (6/5) i.e 5x=6y
after 9 years,
(x+9)/(y+9) = 9/8 i.e 8x-9y=9
After solving we get x = 18 and y = 15.
Differences in the ages = 18-15=3
Hence, option D is correct.
7) Answer (B)
Let’s say ages of A and B are 4x and 3x
8 years from now their ages will be = 4x+8 and 3x+8
Hence, $\frac{4x+8}{3x+8} = \frac{6}{5}$
So x=4 and age of A = 16 and age of B = 12
So when B will be 7 year old, A will be 11 year old
8) Answer (D)
Let the Kavita’s present age be 2x.
Sarita’s present age is x.
Now, 8 years hence,
(2x + 8)/(x +8) = 22/13
26x + 104 = 22x + 176
x = 18
Hence, Kavita’s age = 18*2 = 36 years.
Option D is correct option.
9) Answer (D)
We have S/t=8/15, Then we have S+9/t+9=11/18 Solve for t we get 45 And S As 24 Difference is 21.
10) Answer (A)
Ratio of A:B:C = 8:14:22 = 12:21:33
So, the required ratio of ages of A, B, C and D is 12 : 21 : 33 : 44.
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