11) The sum of the present age of mother and her son is 60 years. Six years ago, the age of the mother was five times the age of her son. What will be the age of her son after 6 years?
23 years
22 years
20 years
21 years
Answer: C
Explanation:
Let the present age of the son =x
Then, the present age of the mother =(60-x)
As per question:
Six years ago mother's age was 5 times the age of her son:
So, (60-x) -6=5(x-6)
54 - x = 5x -30
84=6x
x=84/6
x=14 Years
Age of son after 6 years
=x+6
=14+6
=20 Years
12) Simran is younger than Simarjeet by 7 years, and the ratio of their ages is 7:9. What is the age of Simran?
24 years
23.5 years
24.5 years
25 years
Answer: C
Explanation:
Let the age of Simran and Simarjeet be 7x and 9x respectively
According to the Question-
7x=9x-7
x=7/2=3.5
So, Simran's age =7x=7×3.5=24.5 years.
13) Six years ago the ratio of the ages of Preeti and Ruchi was 6: 5. After four years the ratio of their ages will be 11: 10. What is Ruchi's present age?
18 years
17 years
16 years
15 years
Answer: C
Explanation:
The ratio of the ages of Preeti and Ruchi six years ago =6:5
According to Question:
six years ago the age of Preeti=6x
Six years ago age of Ruchi=5x
after 4years, the ratio of their ages =11:10
(6x+10):(5x+10)=11:10
10(6x+10) =11(5x+10)
60x + 100 = 55x + 110
5x=10
x=10/5=2
Ruchi's present age
=(5x+6)=5×2+6=16 years
14) At present, the ratio between the ages of Haseena and Anushka is 4:3. After 6 years, Haseena's age will be 26years. What is the present age of Anushka?
15 years
14 years
13 years
12 years
Answer: A
Explanation:
After 6 years, Haseena's age will be 26 years
Therefore, the Present age of Haseena =26-6=20
Let the present age of Anushka =x
Then,
20/x=4/3
x=20×3/4
=15 Years
15) My brother, Ravi is 3 years elder to me. My father's age was 28 years when my sister, Neha was born, and my mother's age was 26 years when I was born. If Neha's age was 4 years when Ravi was born, what was the age of my father when Ravi was born?
35 years
34 years
33 years
32 years
Answer: D
Explanation:
Let my age =x
Then
Ravi's age =x+3
Mother's age =x+26
Neha?s age =(x+3) +4=x+7
Father's age =(x+7) +28=x+35
So, the age of the father at the time of Ravi was born
=x+35-(x+3) =32 years