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(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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