Csat---math Questions

#1

A father is nine times as old as his son and the mother is eight times as old as the son. The sum of the father’s and the mother’s age is 51 years. What is the age of the son ? [ U.P.S.C ( 2015 ) Pre. ]

#2

The sum of the ages of 5 members comprising a family, 3 years ago was 80 years. The average age of the family today is the same as it was 3 years ago, because of an addition of a baby during the intervening period. How old is the baby ? [ U.P.S.C ( 2016 ) Pre. ]

#3

Consider the following statements : [ U.P.S.C ( 2016 ) Pre. ] 1. Either A and B are of the same age or A is older than B . 2. Either C and D are of the same age or D is older than C . 3. B is older than C . Which of the following conclusions can be drawn from the above statements?

#4

The age of Mr. X last year was the square of a number and it would be the cube of a number next year , what is the least number of years he must wait for his age to become the cube of a number again ? [ U.P.S.C ( 2017 ) Pre. ]

#5

In 2002, Meenu’s age was one-third of the age of Meera, whereas in 2010, Meenu’s age was half the age of Meera. What is Meenu’s year of birth ? [ U.P.S.C ( 2019 ) Pre. ]

#6

Ena was born 4 years after her parents’ marriage. Her mother is three years younger than her father and 24 years older than Ena, who is 13 years old. At what age did Ena’s father get married ? [ U.P.S.C ( 2019 ) Pre.]

#7

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years , then what is the age of the teacher ? [ U.P.S.C ( 2020 ) Pre.]

#8

X said to Y , “At the time of your birth I was twice as old as you are at present”. If the present age of X is 42 years , then consider the following statements : 1. 8 years ago, the age of X was five times the age of Y . 2. After 14 years , the age of X would be two tmes the age of Y . Which of the above statements is/are correct ? [ U.P.S.C ( 2021 ) Pre.]