# Railway Exam Aptitude â€“ Age Problem

Railway Exam Aptitude â€“Â Age ProblemÂ Set-10:
Dear Readers, Here we have given from Aptitude Questions for Railway Exam 2016. Candidates those who are all preparing for these exams can use this material.

1).Ramâ€™s sonâ€™s age is 1 / 3 of Ramâ€™s wifeâ€™s age. Ramâ€™s wifeâ€™s age is 4 / 5 of Ramâ€™s age and Ramâ€™s age is 3 / 5 of Ramâ€™s fatherâ€™s age. Find the age of the son of Ram, if Ramâ€™s father is 50 yr old.
a)Â Â 8 yr
b)Â Â 10 yr
c)Â Â 12 yr
d)Â Â 6 yr

2).B was born when A was 4 yr 7 months old and C was born when B was 3 yr 4 months old. When C was 5 yr 2 months old, then their average age was
a)Â Â 8 yr 9 months
b)Â Â 7 yr 3 months
c)Â Â 8 yr 7 months
d)Â Â 8 yr 11 months
3).10 yr ago, the average age of P and Q was 20 yr. Average age of P, Q and R is 30 yr now. After 10 yr, the age of R will be
a)Â Â 35 yr
b)Â Â 40 yr
c)Â Â 30 yr
d)Â Â 45 yr
4).The present ages of A and B are in the ratio 4 : 5 and after 5 yr, they will be in the ratio 5 : 6. The present age of A is
a)Â Â 10 yr
b)Â Â 20 yr
c)Â Â 25 yr
d)Â Â 40 yr
5).3 yr ago, the average age of a family of 5 members was 17 yr. A baby having been born, the average age of the family is the same today. The present age of the baby is
a)Â Â 3 yr
b)Â Â 2 yr
c)Â Â 1 (1 / 2) yr
d)Â Â 1 yr
6).A mother after 4 yr will be twice the age of her daughter. The sum of their ages is 46. What the present age of the daughter.
a)Â Â 14 yr
b)Â Â 15 yr
c)Â Â 16 yr
d)Â Â None of the above
7).Renuâ€™s mother was three times as old as Renu 5 yr ago. After 5 yr, she will be twice as old as Renu. Renuâ€™s present age, in years is
a)Â Â 35
b)Â Â 10
c)Â Â 20
d)Â Â 15
8).Sonuâ€™s father is five times older than Sonu. After 8 yr, his age will be three times the Sonuâ€™s age that time. Their present ages are
a)Â Â 30 yr, 6 yr
b)Â Â 35 yr, 7 yr
c)Â Â 40 yr, 8 yr
d)Â Â 45 yr, 9 yr
9).There were 24 students in a class, One of them, who was 18 yr old, left the class and his place was filled up by a newcomer. If the average of the class thereby, was lowered by one month. the age of the newcomer is
a)Â Â 14 yr
b)Â Â 15 yr
c)Â Â 16 yr
d)Â Â 17 yr
10).Nimo is 23 yr 1 month old. Shyam is 18 yr 7 months old and Bano is much older than Shyam is younger than Nimo. The age of Bano is
a)Â Â 18 yr 6 months
b)Â Â 21 yr 11 months
c)Â Â 20 yr 9 months
d)Â Â 20 yr 10 months
Answers:Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
1). a) 2). d) 3). b) 4). b) 5). b) 6). a) 7). d) 8). c) 9). c) 10). d)
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Solution:
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1).Â Â Â Required age = 50 Ã— (3 / 5) Ã— (4 / 5) Ã— (1 / 3) = 8 yr
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2).Aâ€™s, present age = (4 + 3 + 5) yr and (7 + 4 + 2) months
= 12 yr and 13 months
= 13 yr and 1 month
Bâ€™s present age = (3 + 5) yr and (4 + 2) months = 8 yr and 6 months
âˆ´ Required average (13 + 8 + 5 ) yr and
= (13 + 8 + 5) yr and
= (1 + 6 + 2) months / 3
= (26 Ã— 12 months + 9 months) / 3
= 321 / 3 months = 107 months
= 8 yr and 11 months
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3).10 yr ago, total age of P and Q = 20 Ã— 2 = 40 yr
Present total age of P and Q = 40 + 2 Ã— 10 = 60 yr
Present total age of P, Q and R = 30 Ã— 3 = 90 yr
Râ€™s age = 90 â€“ 60 = 30 yr
After 10 yr Râ€™s age = (30 + 10) yr = 40 yr
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4).Suppose, present age of A is 4x yr and present age of B is 5x yr.
So, after 5 yr, the ratio of their ages
(4x + 5) / (5x + 5) = 5 / 6
24x + 30 = 25x + 25
x = 5 yr
Present age of A = 4 Ã— 5 = 20 yr.
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5).Total age of 5 members of family 3 yr ago = 17 Ã— 5 = 85 yr
the total age of 5 members now = 85 + 15 = 100 yr
the total age of 6 members now = 17 Ã— 6 = 102 yr
Age of baby = 102 â€“ 100 = 2yr
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6).Let the age of mother be x yr and the age of daughter be y yr.
According to question,
(x + 4) = 2(y + 4)
x â€“ 2y = 4Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  â€¦. (i)
and x + y = 46Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  â€¦. (ii)
Multiply Eq. (ii) by 2
2x + 2y = 92Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  â€¦. (iii)
On solving Eqs. (i) and (iii), we get
x = 32, y = 14
âˆ´ Age of daughterÂ  = 14 yr
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7).Let the age of Reni be x yr and age of Renuâ€™s mother be y yr
According to question,
(y â€“ 5) = 3 (x â€“ 5)
y â€“ 5 = 3x â€“ 15
y â€“ 3x = – 10Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  â€¦ (i)
and (y + 5) = 2(x + 5)
y + 5 = 2x + 10
y â€“ 2x = 5Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â  â€¦ (ii)
On solving Eqs. (i) and (ii), we get
x = 15, y = 35
âˆ´ Renuâ€™s present age = 15 yr
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8).Let the age of Sonu be x yr
âˆ´ Age of Sonuâ€™s father = 5x yr
5x + 8 = 3(x + 8)
5x + 8 = 3x + 24
2x = 16
x = 8
âˆ´ Age of Sonu is 8 yr and age of his father is 40 yr.
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9).Total age decreased = 24 Ã— 1 = 24 months = 2 yr
âˆ´ Age of newcomer = 18 â€“ 2 = 16 yr
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10).Let the age of Bano be x yr
Given, x â€“ 18 (7 / 12) = 23(1 / 12) â€“ x
2x = 18(7 / 12) + 23(1 / 12)
= (18 + 23) + [ (7 / 12) +(1 / 12) ]
2x = 41(3 / 4) = 41 yr 9 months
x = 20yr 10 months (approx)