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PnC 4-COMBINATIONS || Quantitative Aptitude || CAT 2021 || 21 October
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Question 1
In a chess tournament, all participants were to play one game with the other. Two players fell ill after having played 3 games each. If total number of games played in the tournament is equal to 84, then total number of participants in the beginning was equal to:
Question 2
A teacher takes 3 children from her class to the zoo at a time as often as she can, but she doesn’t take the same set of three children more than once. She finds out that she goes to the zoo 84 times more than a child goes to the zoo, Total number of students in her class in equal to:
Question 3
10 students are to be seated in two rows equally for the Mock test in a room. There are two sets of papers, Code A and Code B. each of two rows can have only one set of paper but different that from other row. In how many ways these students can be arranged?
Question 4
In how many ways can 10 examination papers be arranged so that the best and the worst papers never come together?
Question 5
100 tickets, numbered from 1 to 100 are put in a box and shuffled well. If two tickets are drawn at random, find the number of distinct cases where the sum of the numbers on the tickets drawn in multiple of 3.
Question 6
In a hall there are 10 bulbs and their 10 buttons. In how many ways this hall can be enlightened?
Question 7
The number of positive integers which can be formed by using any number of digits from 0,1,2,3,4,5 without repetition
Question 8
How many 3 digit numbers can be formed from the digits 2, 3, 5, 6, 7 and 9 which are divisible by 5 and none of the digits is repeated
Question 9
A test consists of 6 multiple choice questions, each having 4 alternative answers of which only one is correct. The number of ways, in which a candidate answers all six questions such that exactly four of the answers are correct, is ________.
Question 10
Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.
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