NDA MATHS QUESTION BANK

1. What is the median of the above
   frequency distribution?
   (a) 23 (b) 24 (c) 25 (d) 26


2. What is the mean of the above
   frequency distribution?
   (a) 25 (b) 26 (c) 27 (d) 28


3. The mean of the values of 1, 2,
   3,.............,n with respectively
   frequencies x, 2x, 3x,..........., nx is:

(a)^ (b)^ (2n+1) (c)^ (2n+1) (d)^

7. The arithmetic mean and geometric
   mean of two numbers are 14 and 12
   respectively. What is the harmonic
   mean of the numbers?
   (a) 10 (b) 13 (c) 32/3 (d) 72/7


8. Mean of 100 observations is 45. It
   was later found that two observations
   19 and 31were incorrectly recorded as
   91 and 13. The correct mean is:
   (a) 44 (b) 45 (c) 44.46 (d) 45.54


9. What is the geometric mean of the
   data 2, 4, 8, 16 and 32?
   (a) 2 (b) 4 (c) 8 (d) 16


10. Directions (Qs. 1-2) The item wise
    expenditure of a Non-Government
    Organisation for the year 2008-2009 is
    given below:

Item Expenditure (in

Rs. Lakh)

Salary of

employees

6

Social welfare

activities

7

Office 3

contingency

Vehicle

maintenance

4

Rent and hire

charges

2.5

Miscellaneous

expenses

1.5

The above data are represented by a

pie diagram

1. What is the sectorial angle of the
   largest section?
   (a) 120° (b) 105° (c) 90° (d) 85°


2. What is the difference in the sectorial
   angles of the largest and the small
   sectros?
   (a) 90° (b) 85° (c) 82.5° (d) 77.5°


3. Consider the following data:

Factory A Factory B

Mean wages

of workers

Rs. 540 Rs. 620

Standard

deviation of

wages

Rs. 40.50 Rs. 31

What is the variability in the wages of

the workers in Factory A?

(a) 100% more than the variability in

the wages of the workers in Factory B.

(b) 50% more than the variability in

the wages of the workers in Factory B.

(c) 50% less than the variability in the

wages of the workers in Factory B. (d)

150% more than the variability in the

wages of the workers in factory B