a) 15 b) 96 c) 216 d) 120 Answer: c Explanation: Test of divisibility for ...
View QuestionHow many integers, greater than 999 but not greater than 4000, can be formed with the digits 0, 1, 2, 3 and 4 if repetition of digits is allowed?
a) 499 b) 500 c) 375 d) 376 Answer: d Explanation: The smallest number in ...
View QuestionThe number of ways of arranging n students in a row such that no two boys sit together and no two girls sit together is m(m > 100). If one more student is added, then number of ways of arranging as above increases by 200%. The value of n is:
a) 12 b) 8 c) 9 d) 10 Answer: d Explanation: If n is even, ...
View QuestionIn a cricket match if a batsman score 0, 1, 2, 3, 4 or 6 runs of a ball, then find the number or different sequences in which he can score exactly 30 runs of an over. Assume that an over consists of only 6 balls and there were no extra and no run outs
a) 86 b) 71 c) 56 d) 65 Answer: b Explanation: Case A: Five 6 ...
View QuestionIn how many ways can 3 men and their wives be made stand in a line such that none of the 3 men stand in a position that is ahead of his wife?
a) $$\frac{{6!}}{{3! \times 3! \times 3!}}$$ b) $$\frac{{6!}}{{2! \times 2!}}$$ c) $$\frac{{6!}}{{2! \times 2! \times 2!}}$$
View QuestionIf the letters of the word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears at serial number:
If the letters of the word SACHIN are arranged in all possible ways and these words are written ...
View QuestionIn how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
a) $$\frac{{6!}}{2}$$ b) 3! × 3! c) $$\frac{{4!}}{2}$$ d) $$\frac{{4! \times 3!}}{{2!}}$$ Answer: d ...
View QuestionA book-shelf can accommodate 6 books from left to right. If 10 identical books on each of the languages A,B,C and D are available, In how many ways can the book shelf be filled such that book on the same languages are not put adjacently.
a) 40P6 × 6! b) 6P4 × 2! c) 10 × 95 d) 4 × 35 ...
View Questiona, b, c, d and e are five natural numbers. Find the number of ordered sets (a, b, c, d, e) possible such that a + b + c + d + e = 64.
a) 64C5 b) 63C4 c) 65C4 d) 63C5 Answer: b Explanation: Let assume that there ...
View QuestionThere are 2 brothers among a group of 20 persons. In how many ways can the group be arranged around a circle so that there is exactly one person between the two brothers?
a) 2 × 17! b) 18! × 18 c) 19! × 18 d) 2 × 18!
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