1. There are 6 English, 4 Sanskrit and 5 Hindi books. In how many ways can they be arranged on a shelf so as to keep all the books of the same language together?
(a) 160 × 720 × 24 × 120 (b) 720 × 24 × 720
(c) 16 × 720 × 24 × 12 (d) 16 × 720 × 24 × 120
2. A straight line has 7 points marked on it. Another straight line has 5 points marked on it. Making use of all these points available, how many triangles is it possible to form?
(a) 35 (b) 175 (c) 7! x 5! (d) 120
3. How many numbers are there between 100 and 1000 such that at least one of their digits is 6?
(a) 648 (b) 258 (c) 654 (d) 252
4. Three men, two women and four children are to be seated on 9 chairs in such a way that all the men are together, all women are together and all children are together. In how many ways can this be done?
(a) 288 (b) 1728 (c) 3! 9 (d) 9!
5. Three persons enter a railway carriage, where there are 5 vacant seats. In how many ways can they seat themselves?
(a) 60 (b) 20 (c) 50 (d) 26
6. What is the number of ways to assign the numbers 1 to 15 to 25 squares of 5 by 5 grid having 10 squares empty?
a) 25! – 10! b) 25! / 10! c) 15! / 10! d) None of these
7. In how many ways can 4 Boys and 4 Girls be seated so that no two boys may be together?
a) 144 b) 156 c) 572 d) 576
8. Five fish are to be placed among 3 available fish tanks. In how many ways can this be done?
a) 60 b) 125 c) 243 d) None of these
9. How many arrangements can be made out of the letters of the word ‘DETAIL’ be arranged in such a way that the vowels occupy only the odd positions?
(a) 32 (b) 48 (c) 36 (d) 60
10. How many words can be formed from the letters of the word ‘EXTRA’, so that the vowels are never together?
(a) 100 (b) 120 (c) 36 (d) 60
No comments:
Post a Comment