Age
1. The age of farther is thrice of his son. If the sum of their ages is 48 yr. What is
the age of father?
(a) 30 yrs (b) 32 yr (c) 36 yrs (d) 49 yr
2. Nikhil
is 8 yr younger than his brother Rohan. How old will Rohan be when he is twice
as old as Nikhil?
(a) 4 (b) 6 (c) 8 (d) 16
3. The age
of Arvin's father is 4 times his son's age. If 5 yr ago, father's age was 7
times of the age of his son at that time, then what is Arvind's father's
present age?
(a) 84 yr (b) 70yr (c) 40 yr (d) 35 yr
4. Rahim
and his uncle differ in their ages by 30 yr, After 7 yr. If the sum of their ages is 66, what will be the age of the uncle?
(a) 51 yr (b) 48 yr (c) 39 yr (d) 41 yr
5. Five yr
ago, the average age of P and Q was 15 yr.
Now, average age of P, Q and R is 20 yr. What would be the age of R
after 10 yr?
(a)35
yr (b) 40 yr (c) 30 yr (d) 50 yr
6. A
person's present age is two– fifth of the age of his mother. After 8 yr, he
will be one – half of the age of his mother. How old is the mother at
present?
(a) 32 yr (b) 36 yr (c) 40 yr (d) 48 yr
7. Devendra
is older by 4 yr to Rajendra. After 16 yr, Devendra will be thrice his present
age Rajendra will be five times, of his present age. How old would Rajendra be
after 16 yr?
(a) 30 yr (b) 25 yr (c) 24 yr (d) 20 yr
8. Tarun's
age is the cube of a whole number. It
was square of another whole number 2 yr ago. How long he must wait before his age is again the cube of a whole number?
(a) 2yr (b) 10 yr (c) 37 yr (d) 39 yr
9. Rajan is
younger than his father by 20 yr. 5 yr
ago his father was 3 times elder than him. Find the present age of his father.
(a) 25 yr (b) 30 yr (c) 35 yr (d) 36 yr
10. It was
shriam's and Sreedevi's 12th Wedding Anniversary. Shriam said,
"When we got married, Sreedevi was 3/4th of my age, but now she
is 5 /6 of my age". What actually
are their present ages?
(a) Shriram 38, Sreedevi 32 (b) Shriram 36. Dreedevi 30
(c) Shriram 30. Sreeddevi 24 (d) Shriram 40, Sreedevi 34
Answer
with Explanations
1. (c) Let age of son = x yr
Then,
the age of father = 3x yr
Now,
3x + x = 48
4x
= 48
x
= 12
\ Age of father = 3 × 12 = 36 yr
2. (d) Let age of Nikhil = x yr Then, age of Than = (x + 8) yr
According
to the question, x + 8 = 2x
x = 8
\ Age of Rohan = 8 + 8 = 16 yr
3. (c) Let age of Arvind = x yr
According
to the question,
(4x
– 5) = 7 (x – 5) Þ 4x – 5 = 7x – 35
Þ 3x = 30 Þ x = 10 yr
\ Arvind's
father's present age = 4 × 10 = 40 yr
4. (d) Let age of Rahim = x yr and age of Radim's
uncle = y yr
According
to the question,
y –
x = 30
Now,
after 7 yr (x + 7) + (y + y) = 66
x +
y + 14 = 66
x
+y = 52
On
adding Eqs (i) and (ii) we get
2y = 82 Þ y = 41 yr
So,
the age of Rahim's uncle = 41 yr
5. (c) According to the question,
– 5 = 15 Þ m= 20
P +
Q = 40 and = 20
P +
Q + R = 60
From
Eqs. (i) and (ii)
R =
20 yr
\ Age of R after 10 yr from now = 20 + 10 = 30 yr
6. (c) Let person's mother present age = x
\ Person's present age = x yr
According
to the question, After 8 yr,
(x + 8) =
= =
or, 5x + 40 = 4x + 80 , x = 40 yr
Present age of present's mother
= 40 yr
7. (d) Suppose Rajendra's age = x yr
and
Devrdra's age = (x + 4) yr
Then, (x + 4) + 16 = 3 (x + 4)
x +
20 = 3x + 12
2x
= 8 Þ x = 4 yr
\ Rajendra's
age after 16 yr = x + 16 = 4 + 16 = 20
yr
8. (c) Letpresent age of Tarun = 27 yr
\ Age of
Tarun, 2 back = 27 – 2 = 25 yr
So,
the cube of 4, next number to 3 is 64
\ Required
answer = 64 – 27 = 37 yr
9. (c) Let age of Rajan = x yr and age of his
father = y yr According to the question,
x +
20 = y
Now,
5 yr ago 3 (x – 5) = (y – 5)
Þ 3x - 15 = y – 5
Þ 3x – y = 10 ......... (ii)
Ob
putting the value of y from Eq. (i) Eq. (ii), we get
2x
= 30
x =
15 yr
On
pitting the value of x in Eq. (i), we get y = 35 yr
So,
the age of Ragan's father = 35 yr
10. (b) Let present age of Shriram = x yr and present age of Sreedevi = y yr It was the 12th
wedding anniversary of them Then, according to the question. their age of twelve year back,
(x – 12) = y – 12
=
– 9 = y – 12
= – y = – 3
=
3x – 4y = – 12 ........... (i)
Now,
their present age,
= y Þ 5x = 6y
5x
– 6y = 0 ....... (ii)
On
solving Eqs. (i) and (ii), we get
x =
36, y = 30
Hence,
present age of Shiram = 36 yr and present age of Sreedevi = 30 yr