NRB Officer Preparatory Series: 20 Essential Mathematics & Statistics Practice Questions

Master the quantitative section of the Nepal Rastra Bank (NRB) and other competitive exams with this comprehensive practice set. This post covers 20 vital questions ranging from Arithmetic (Work & Time, Interest, Ratios) to Algebra and Statistics. Each question is designed to mimic the difficulty level of Lok Sewa Aayog and Banking exams, helping you build the speed and accuracy needed to succeed.

1) A certain number of men complete a piece of work in 60 days. If there were 8 more, the work could be finished in 10 days less. How many men were originally there?

a) 30

b) 32

c) 36

d) 40

 

2) The average weight of 9 mangoes increases by 20g if one of them weighing 120g is replaced by another. The weight of the new mango is:

a) 180g

b) 200g

c) 260g

d) 300g

 

3) The greatest possible length which can be used to measure exactly the lengths 4m 95cm, 9m, and 16m 65cm is:

a) 45

b) 50

c) 55

d) 60

 

4) The price of the product of a company increases by 10%, and the turnover increases by 10%. What is the change in quantity sold?

a) 10%

b) 8%

c) 20%

d) No change

 

5) Stocks are purchased at Rs 500 and sold at a gain of 15% on cost. The selling price is:

a) Rs. 475

b) Rs. 550

c) Rs. 575

d) Rs. 600

6) A boatman rows 1km in 5 minutes along the stream and 6km in 1 hour against the stream. The speed of the stream:

a) 3 kmph

b) 6 kmph

c) 10 kmph

d) 12 kmph

 

7) The compound interest in 1 year is Rs 1000, and rate of interest in 10% p.a. The compound interest in 2 years is:

a) 1700

b) 1800

c) 2000

d) 2100

 

8) What should be subtracted from each of the numbers 54, 71, 75, and 99, so that the remainders are in continued proportion?

a) 9

b) 7

c) 4

d) 3

 

9) Two numbers are in the ratio of 1:2. If 7 is added to both, their ratio changes to 3:5. Find the greatest number:

a) 24

b) 28

c) 14

d) 32

 

10) If a=b^x, b=c^y, c=a^z, the value of xyz is:

a) 0

b) 1

c) 2

d) None of these

 

 

11) The value of x when solving 2x+10<5x-2 is:

a) x>4

b) x<4

c) x<-4

d) None of these

 

12) A number when divided by 12 gives a remainder of 7. If the same number is divided by 6, then the remainder must be:

a) 1

b) 2

c) 3

d) 4

 

13) If 'n' is an integer and the average of 3, 4, and 'n' is less than 10, the greatest integer value of 'n' is:

a) 21

b) 22

c) 23

d) 24

 

 

14) Find the odd man out:

         10, 25, 45, 54, 60, 75, 80

a) 10

b) 45

c) 54

d) 75

15) The seventh number in the sequence of numbers is 31, and each number after the first number in the sequence is 4 less than the number immediately preceding it. The 9th number in the sequence is:

a) 21

b) 23

c) 39

d) 47

 

16) If Rita is now three times as old as Hari, 5 years ago, she was 5 times as old as he was. Now the age of Hari is:

a) 10 years

b) 12 years

c) 24 years

d) 30 years

 

17) For what value of k, (x-3) is a factor of x³+4x²+kx-30?

a) -11

b) 10

c) -12

d) 20

 

18) The number of subsets of a set of order 5 is:

a) 16

b) 32

c) 8

d) 24

 

19) The sum of prime numbers greater than 70 and less than 80 is:

a) 220

b) 224

c) 223

d) 228

 

20) Measure of central tendency which is not unique is:

a) Mean

b) Median

c) Mode

d) None of the above