Q1. Ayesha's father was 38 years of age when she was born while her mother was 36 years old when her brother four years younger to her was born. What is the difference between the ages of her parents?
A. 2 years
B. 4 years
C. 6 years
D. 8 years
Mother's age when Ayesha's brother was born = 36 years.
Father's age when Ayesha's brother was born = (38 + 4) = 42 years.
Required difference = (42 - 36) = 6 years.
Q2. A person was asked to state his age in years. His reply was, "Take my age three years hence, multiply it by 3 and then subtract three times my age three years ago and you will know how old I am." What was the age of the person?
A. 18 years
B. 20 years
C. 24 years
D. 32 years
Let the present age of the person be x years.
Then, 3(x + 3) - 3(x - 3) = x
3x + 9 - 3x + 9 = x => x = 18
Q3. The sum of the ages of a son and father is 56 years after four years the age of the father will be three times that of the son. Their ages respectively are:
A. 12years, 44 years
B. 16years, 42years
C. 16years, 48years
D. 18years, 36 years
Present ages of son and father be x years (56 -x)years
(56- x +4) = 3(x + 4) or 4x =48 or x = 12
Ages are 12 years, 44 years
Q4. In 10 years, A will be twice as old as B was 10 years ago. If A is now 9 years older than B, the present age of B is
A. 19 Years
B. 29 Years
C. 39 Years
D. 49 Years
Present ages of B and A be x years and (x +9) years
(x +9 +10) = 2 (x -10) or x =39
Q5. Pushpa is twice as old as Rita was two years ago if the difference between their ages is 2 years, how old is Pushpa today?
A. 6 Years
B. 8 Years
C. 10 Years
D. 12 Years
Rita’s age 2 years ago be x years
Pushpa’s present age =(2x) years
2x –(x +2) =2 => x =4
Therefore pushpa’s present age = 8 years
Q6. The sum of the ages of a father and son is 45 years five years ago the product of their ages was 4 times the father's age at that time. The present ages of the father and son respectively are:
A. 25years, 10years
B. 36years, 9 years
C. 39 years, 6 years
D. None of these
Present ages of father and son be x years and (45-x) years
(x -5)(45 –x -5) = 4(x -5)
-x2 +41x -180 =0 or x =36.
Therefore, present ages of father and son are 36 years and 9 years
Q7. Five years ago viney’s age was one-third of the age of Vikas and now viney’s age is 17 years, what is the present age of Vikas?
A. 9 years
B. 36 years
C. 41 years
D. 51 years
Present age of vikas be x years 17 – 5 = 1/3 (x -5)
or x -5 = 36 or x =41
Q8. The age of Arvind's father is 4 times his age if 5 years ago father’s age was 7 times of the age of his son at the time. What is Arvind's father’s present age?
A. 35 years
B. 40 years
C. 70 years
D. 84 years
Arvind’s age be x years Father’s age = 4x years.
Therefore (4x -5) =7(x -5) or 3x = 30
=> x =10
Arvind’s father’s age is 40 years
Q9. 10 years ago, chandravati’s mother was 4 times older than her daughter, after 10 years the mother will be twice older than the daughter. The present age of chandravati is:
A. 5 years
B. 10 years
C. 20 years
D. 30 years
Chandravati’s age 10 years ago be x years
Mother’s age 10 years ago =(4x)years
2(x +20) = (4x +20)
Present age of Chandravati = (x +10) = 20 years
Q10. Kamala got married 6 years ago, Today her age is 1 ¼ times her age at the time of marriage. Her son’s age is (1/10) times her age. Her son’s age is:
A. 2 Years
B. 3 Years
C. 4 Years
D. 5 Years
Kamala’s age 6 years ago be x years
Kamala’s present age =(x +6) years
Therefore x +6 = 5/4 x or 4x + 24 =5x or x =24
Kamala’s present age = 30 years
Son’s present age = (1/10 x 30) = 3 years