11.
Mother's age today is thrice as her daughter's. After 10 years it would be just double. How much old is the daughter today?
• A.
10
• C.
9
• B.
8
• D.
11
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Explanation :

 Let the age of the daughter today be ‘x’ years.

 Mother’s age today = 3x years

 After 10 years, we have

 3x + 10 = 2(x + 10) ===> x = 10 years.

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12.
The average age of class of 50 students is 24 years. If the average of 10 of them is 22 years, while average of another 10 is 26 years. What is the average of the remaining 30 students?
• A.
22
• C.
24
• B.
32
• D.
42
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Explanation :

 Difference Total 50 Students 10 (22 Years) - 2 => 10 (26 Years) + 2 => 30(?) -20 +20

Observe that 10 students have an average of 22 years (2 years below 24). While another 10 students have an average of 26 years (2 years above 24). Thus, the effect by (-2) is nullified by the effect of (+2). As such, the average of remaining 30 students would remain same as 24 years.

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13.
The ages of Nirmal and Reena are in the ratio of 5:7. Sixteen years ago their ages were in the ratio of 3:5. The present age of Nirmal is
• A.
35 years
• C.
40 years
• B.
45 years
• D.
30 years
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Explanation :
Let the present age of Nirmal and Reena be x and y years.
Given,
 x y
=
 5 7

y =
 7x 5
----------- (1)
16 years ago,
 x - 16 y - 16
=
 3 5

5x - 80 = 3y - 48
 5x - 3y = 32 ----------- (2)
Using (1) and (2) we get
5x - 3
 7x 5
= 32
25x - 21x = 160
4x = 160
x = 40
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14.
Sangeetha is seven years older than Divya. Fifteen years ago, Divya’s age was three quarters of Sangeetha’s age. Find the age of Sangeetha now.
• A.
41 years
• C.
43 years
• B.
36 years
• D.
42 years
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Explanation :
Let Divya’s age = x years and Sangeetha’s age = x + 7
Fifteen years ago, x – 15 =
 3 4
(x + 7 - 15)
4x – 60 = 3x – 24
x = 36
Sangeetha’s age = x + 7 = 36 + 7 = 43 years
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15.
The ratio of the ages of mother to that of daughter is 7:3 today. After 5 years, this ratio would be 2:1. How many years old should the mother be at the time of birth of her daughter?
• A.
18
• C.
22
• B.
21
• D.
20
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Explanation :

 Let the ages of mother and daughter today be “7x” and “3x” years respectively. Thus, 5 years, hence, we get,

 7x + 5 = 2 3x + 5 1
x = 5

 Thus, the age of mother today is 35 years and that of daughter’s today is 15 years, Hence, at the time of birth of her daughter, mother should have been (35 - 15) = 20 years old.

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16.
 Chandrakala got married 8 years ago. her present age is 6 times her age at the time 5
of her marriage. Chandrakala's sister was 10 years younger to her at the time of her marriage. The age of Chandrakala's sister is :
• A.
32 years
• C.
38 years
• B.
36 years
• D.
40 years
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Explanation :

Let Chandrakala's present age be x years.

Then, her age at the time of marriage = (x – 8) years

x = 6  (x - 8)
5

5x = 6x - 48

48 = 6x - 5x

x = 48

Chandrakala's age at the time of her marriage = x – 8 = 48 - 8 = 40

Chandrakala's sister's age at the time of her marriage = 40 – 10 = 30 years.

 Chandrakala's sister's present age = (30 + 8) years = 38 years.

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17.
Two years ago Harshini was 6 times as old as his friend Hema, After 18 years, she will be twice as old as her friend. Their present ages (in years) are.
• A.
32, 7
• C.
36, 11
• B.
34, 9
• D.
None of these
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Explanation :

Let Hema's age 2 years ago be x.
Harshini's age 2 years ago = 6x
2 (x + 2 + 18) = (6x + 2 + 18)
2 (x + 20) = (6x + 20)
2x + 40 = 6x + 20
40 - 20 = 6x - 2x
20 = 4x
4x = 20
x = 20/4 = 5
Their present ages are (6x + 2) and (x + 2)
 = 6 x 5 + 2 and 5 + 2
i.e., 32 years and 7 years.

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18.
One year ago, Janardan was four times as old as his son Devdas. Six years hence, Janardan's age will exeed his son's age by 9 years. The ratio of the present ages of Janardan and his son is :
• A.
12 : 5
• C.
13 : 4
• B.
11 : 3
• D.
9 : 2
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Explanation :

Let the age of Devdas 1 year ago be x years

Then, The age of Janardan 1 year ago be 4x years

Six years hence,

Janardan's age = 4x + 1 + 6 = 4x + 7

Devdas's age = x + 1 + 6 = x + 7

Given, Janardan's age will exeed her sons's age by 9 years

So, Janardan's age = Devdas's age + 9 years

 Then, Janardan's age - Devdas's age = 9

(4x + 7) - (x + 7) = 9

4x + 7 - x - 7 = 9

3x = 9

x = 9/3 = 3

 Required ratio = (4x + 1) : (x + 1) = 13 : 4

 (4(3)+ 1) : (3 + 1)

 (12 + 1) : (3 + 1)

 13 : 4

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19.
15 years hence, Eshwar will be just four times as old as he was 15 years ago, How old is Eshwar at present?
• A.
25
• C.
35
• B.
30
• D.
20
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Explanation :

Let the present age of Eshwar be x years

 Then, given: x + 15 = 4 (x – 15)

x + 15 = 4x - 60

60 + 15 = 4x - x

75 = 3x

x = 75/5

x = 25

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20.
My Colleague Ramesh is 3 years Senior to me in company. My company's President was 48 years of age when another colleague Venkadesh joined in company while my Company Vice President 46 years of age when I joined in company. If Venkadesh was 4 years senior when Ramesh joined in company. Then, what was the age of my company's President and Vice President when Ramesh joined in company.
• A.
58 yrs, 42 yrs
• C.
52 yrs, 43 yrs
• B.
56 yrs, 44 yrs
• D.
53 yrs, 45 yrs
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Explanation :

(4 years Senior)
 |
Ramesh
(3 years Senior)
 |
(myself)

President’s age when Venkadesh joined = 48 years

Ramesh is 4 years junior to Venkadesh.

So, need to add 4 years to calculate President’s age when Ramesh joined in the company

Then, President age when Ramesh joined = 48 + 4 = 52 years

Vice President’s age when I joined = 46 years

Ramesh is 3 years senior to me

So, subtract 3 years to calculate Vice President’s age when Ramesh joined in the company

Then, Vice President age when Ramesh joined = 46 – 3 = 43 years

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