PERMUTAION AND COMBINATION Question for CAT (Number Based)
- Jul 22
- 4 min read
PERMUTAION AND COMBINATION Question for CAT
Q.1 If repetition is not allowed, then how many distinct three-digit numbers can be formed using the digits (2, 5, 6, 3, 4)?
60
80
120
None of the above
Q.2 How many five digit numbers can be formed using the digits 0, 3, 5, 7, 9, 6 and 8 (repetition is not allowed)?
2160
2520
5040
None of the above
Q.3 How many 4-digit numbers can be formed using the digits 9, 8, 7, 6, 0, 4 and 3 such that repetition of digits is allowed?
840
2058
2401
None of the above
Q.4 How many 5 digit numbers can be formed from digits 1, 2, 3, 4, 5 (without repetition), when the digit at the unit’s place must be greater than that in the ten’s place?
120
60
30
None of the above
Q.5 Find the number of ways of forming 8 digit numbers such that no two consecutive digits are same.
89
9!
98
9! × 8!
Q.6 How many numbers are between 100 and 1000, which have exactly one of their digits as 5?
225
125
504
None of the above
Q.7 The number of 6 digit numbers that can be formed using the digits 0, 1, 2, 5, 7 and 9, which are divisible by 11 and no digit is repeated, is:
36
24
60
72
Q.8 How many 5-digit numbers can be formed by using the digits 2, 3, 4, 5, 6 and 7, that have distinct digits and are multiples of 12?
36
60
84
120
Q.9 In how many ways 2 different numbers can be chosen using the numbers between 0 and 180 (both inclusive) so that 60 is their average?
59
60
61
None of these
Q.10 How many odd numbers with distinct digits can be created using the digits 1, 2, 3, 4, 5 and 6?
975
960
978
986
Q.11 The number of seven-digit integers with the sum of the digits equal to 10 and formed by using the digits 1, 2 and 3 only is:
35
42
77
82
Q.12 A Dubai based gangster chhota vakil is in Switzerland these days. He wants to rob a bank there, whose locker code according to his information is an odd number between 50 and 450. He also knows that the numbers are from the set: {0, 1, 2, 3, 4, 5}. How many maximum trials he has to take to unlock the locker?
54
72
78
106
Q.13 Find 3 digit numbers such that product of their digits is a natural number less than 5.
11
15
13
17
Q.14 Find all 3 digit numbers such that sum of their digits is a whole number less than 5.
18
20
19
17
Q.15 How many 3-digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and there will be no repetition of the digits?
20
25
60
None of the above
Q.16 Find the number of three digit numbers of the form xyz, where x > y > z is:
100
120
600
720
Q.17 A seven-digit number comprises of only 2's and 3's. How many of these are multiples of 12?
11
12
10
22
Q.18 What is sum of all arrangements of the 4-digit number 3214?
66660
55554
60048
65024
Q.19 In how many ways can the numbers of the group {22, 19, 11, 16, 18, 15) be arranged such the product of any two adjacent numbers is always even?
Q.20 What is the sum of all 4 digit numbers formed using the digits 2, 3, 4 and 5 without repetition?
86654
88658
93324
None of these
Q.21 24 children are numbered from 1 to 24, and are seated in a row in that order, from left to right. Seven of these 24 children are asked to stand up in their respective positions. In how many ways this can be done such that the number of children between any two standing children is always odd?
990
1980
792
1584
Q.22 Find the sum of all the 5-digit numbers that can be formed using the digits 1, 2, 3, 4, 5 and 6 without repetition.
27999720
29999720
5599944
None of these
Q.23 The unit's digit of a five-digit number (having distinct digits) is 1 and is equal to the number of 5's in the number. The ten's digit is equal to the number of 6's in the number. How many such five-digit numbers are possible?
126
30
90
144
Q.24 How many natural number having at most five digits have a sum of their digits as atmost six?
125
462
457
461
Q.25 In how many ways can the letters of the words ALABAMA be arranged such that at least one A immediately follows an L?
720
480
120
420
Answer for Permutation and Combination for CAT
1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
A | A | B | B | C | A | C | B | B | C |
11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
C | B | C | B | A | B | A | A | 144 | C |
21 | 22 | 23 | 24 | 25 | |||||
D | A | C | A | C |
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