Instructions

For the following questions answer them individually

Question 61

In a class of 45 students, 30 are boys and remaining are girls. If the mean weight of girls is 45 kg and that of boys is 52 kg, then the mean weight of entire class (in kg) is nearest to

Question 63

The median of $$6, 7, x - 2, x, 17$$ and $$20$$, (written in ascending order) is 16. Then the value of x is

Question 64

A number lying between 10 and 100 is seven times the sum of digits. If 9 is subtracted from it, the digits of the number are reversed. The number is

Question 65

One-third of a certain sum is invested at 3% per annum; one-sixth of the sum is invested at 6% per annum and remaining sum at 8% per annum. If the annual simple interest from all these investments is Rs. 600, the original sum is

Question 66

If the compound interest on a certain sum of money for 2 years at 4% per annum compounded annually is Rs. 102, then the simple interest on the same sum of money at the same interest rate and for the same period is

Question 68

If $$a + b + c = 0$$, then a factor of the expression $$(a+b)^{3}+(b+c)^{3}+(c+a)^{3}$$ is

Question 69

If the length of a rectangule is reduced by 10% and its breadth is increased by 10%, then the area

Question 70

The sum of the present ages of a father and his son is 99 years. When the father was as old as his son is now, his age was four times the age of the son at that time. The ratio of the present ages of the son and the father is