Statements 1 and 2 alone are not sufficient to answer the question.

Statement 2 tells the ratio of age of Manisha and her mother 5 years later as 3:5.

Thus age of Manisha and her Mother can be expressed as 3x-5 and 5x-5

By statement 1, we get 5x – 5 = 3x – 5 + 24 or x = 12.

Thus, we can find the age of Manisha.

Thus both statements combined are sufficient to answer the question.

•   Present age of X is 42 years. Let the present age of Y be y years.

•   As per the question, 42 – y = 2y. So, y= 14.

•   Eight years ago, the ages of X and Y must have been 34 and 6 respectively.

•   We can see that the age of X was not 5 times the age of Y. Hence, this statement is incorrect.

•   After fourteen years, the ages of X and Y will be 56 and 28 respectively.

•   We can see that the age of X would indeed be two times the age of Y. Hence, this statement is correct.

•  Let the age of each student be x years and the age of the teacher be y years.

•  According to the question,

3x + y = 20 × 4

Or 3x + y = 80 …… (1)

Also, y – x = 20 .….. (2)

By subtracting equation (1) by (2) we get:

4x = 60

Or  x = 15 years

So, y = x + 20 = 15 + 20 = 35 years

•  Hence, the age of teacher is 35 years.

•  Let Meenu’s age in 2002 be M and Meera’s age in 2002 be X.

•  In 2002, Meenu = 1/3 of Meera. => M = X/3

•  In 2010, Meenu = 1/2 of Meera. So, M + 8 = (X + 8) / 2

•  Solving these two, we get M = 8. So, in 2002, Meenu was 8 years old. So she was born in 1994.

•   The age of Mr. X last year was the square of a number and it would be the cube of a number next year.

•   Hence, we have to find two numbers, one of which is a cube and the other a square and the difference between them must be 2.

•   Only numbers are 25 and 27 satisfy this condition.

•   Hence, the present age of Mr. X = 26.

•   The next time his age will be a cube of a number will be when he will become 64 years old.

•   Hence, the least number of years he should wait = 64 – 26 = 38 years.

•   The sum age of 5 peoples 3 years ago = 80

•   Average age 3 years ago = 80/5 = 16 years

•   Now at present age of five peoples=(3*5)+80=95

•   Add another baby in family but average was same as ago 3 years

= (95+X)/6=16

=95+X=96, value of X=1 year(that age of baby)

Let age of the son be x yr  Then,  father's age = 9x  And  mother's age = 8x

According to the question, 9x + 8x = 51 = 17x = 51 x = 51 = x = 51 / 17 = 3 So, the age of the son is 3 yr.