(IGP) IAS Pre Paper - 2: GS - Basic Numeracy - Permutation & Combination (MCQ -20)

Basic Numeracy
Permutation & Combination (MCQ -20)

1. If nP5 = 12 (nP4). Find n.
(a) 12
(b) 16
(c) 8
(d) 14

2. If nC2 = 36. Find n.
(a) 6
(b) 8
(c) 9
(d) 4

3. An automobile dealer provides cars in 5 models in 6 different colours. Find the number of choices open to a customer.
(a) 30
(b) 11
(c) 15
(d) 21

4. How many permutations can be made using all the letters of the word ‘WOMEN’?
(a) 60
(b) 20
(c) 120
(d) 24

5. How many 5 letter permutations can be made from the letters of the word ‘ORGANIC’?
(a) 2520
(b) 1840
(c) 1260
(d) 3480

6. Find the number of ways of arranging the letters of the word ‘MAJOR’ such that it begins and ends with a vowel.
(a) 6
(b) 12
(c) 2
(d) 8

7. The number of ways of arranging 7 dissimilar things if two particular things are always to be together.
(a) 960
(b) 480
(c) 240
(d) 1440

8. How many different numbers can be formed by using five out of nine digits 1, 2, 3, 4, 5, 6, 7, 8 and 9?
(a) 16120
(b) 14120
(c) 15120
(d) 13120

9. In how many ways can 3 prizes be distributed among 4 boyswhen no boy getsmore than 1 prize?
(a) 48
(b) 36
(c) 24
(d) 18

10. In how many ways can 3 prizes be distributed among 4 boys when a boy may get any number of prizes?
(a) 24
(b) 16
(c) 64
(d) 46

11. If there are 15 railway stations on a railway line, howmany single different first class ticketsmust be printed so as to enable a passenger to travel from one station to another?
(a) 350
(b) 390
(c) 360
(d) 380

12. Find the number of 8 digit numbers that can be formed by using 1, 1, 1, 1, 3, 3, 4 and 6.
(a) 840
(b) 810
(c) 830
(d) 800

13. Find the number of ways of arranging the letters of the word ‘ARRANGE’ so that the two Rs come together.
(a) 360
(b) 310
(c) 330
(d) 350

14. Find the number of ways of arranging the letters of the word ‘ARRANGE’ so that the two Rs are never together.
(a) 1260
(b) 360
(c) 900
(d) 600

15. Find the number of ways of arranging the letters of the word ‘ARRANGE’ so that no two Rs come together.
(a) 800
(b) 900
(c) 600
(d) 700

16. Find the number of ways of arranging the letters of the word ‘SHIPPING’ so that the two Ps are together and the two is are together.
(a) 360
(b) 120
(c) 720
(d) 460

17. In howmany different ways can the letters of the word ‘RULER’ be arranged so that the vowels always come together?
(a) 12
(b) 24
(c) 18
(d) 22

18. Find the number of 5 digit numbers formed using the digits 1, 2, 4, 6, 8, 9 when repetitions are not allowed.
(a) 720
(b) 710
(c) 715
(d) 725

19. Find the number of 5 digit numbers formed using the digits 0, 1, 2, 4, 6, 8, 9 when repetitions are not allowed.
(a) 2150
(b) 2175
(c) 2160
(d) 2145

20. Find the number of 5 digit numbers formed using the digits 1, 2, 4, 6, 8, 9 when repetitions are allowed.
(a) 216
(b) 1296
(c) 7776
(d) 36

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