Aptitude · all questions

Permutation And Combination
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

167

Questions

6/9

Page

Pick an option on a question to see the right answer and solution.

Q101

The 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:

Select an option to see the answer and solution.

Q102

How 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?

Select an option to see the answer and solution.

Q103

How many five digit positive integers that are divisible by 3 can be formed using the digits 0, 1, 2, 3, 4 and 5, without any of the digits getting repeated.

Select an option to see the answer and solution.

Q104

There are 10 seats around a circular table. If 8 men and 2 women have to seated around a circular table, such that no two women have to be separated by at least one man. If P and Q denote the respective number of ways of seating these people around a table when seats are numbered and unnumbered, then P : Q equals

Select an option to see the answer and solution.

Q105

How many factors of 2⁵ × 3⁶ × 5² are perfect squares?

Select an option to see the answer and solution.

Q106

From a group of 7 men and 6 women, five persons are to be selected to form a committee so that at least 3 men are there on the committee. In how many ways can it be done?

Select an option to see the answer and solution.

Q107

In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?

Select an option to see the answer and solution.

Q108

In how many different ways can the letters of the word 'CORPORATION' be arranged so that the vowels always come together?

Select an option to see the answer and solution.

Q109

Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?

Select an option to see the answer and solution.

Q110

In how many ways can the letters of the word 'LEADER' be arranged?

Select an option to see the answer and solution.

Q111

In a group of 6 boys and 4 girls, four children are to be selected. In how many different ways can they be selected such that at least one boy should be there?

Select an option to see the answer and solution.

Q112

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?

Select an option to see the answer and solution.

Q113

In how many ways a committee, consisting of 5 men and 6 women can be formed from 8 men and 10 women?

Select an option to see the answer and solution.

Q114

A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?

Select an option to see the answer and solution.

Q115

In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the vowels occupy only the odd positions?

Select an option to see the answer and solution.

Q116

In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

Select an option to see the answer and solution.

Q117

How many 4-letter words with or without meaning, can be formed out of the letters of the word, 'LOGARITHMS', if repetition of letters is not allowed?

Select an option to see the answer and solution.

Q118

In how many different ways can the letters of the word 'MATHEMATICS' be arranged so that the vowels always come together?

Select an option to see the answer and solution.

Q119

In how many different ways can the letters of the word 'OPTICAL' be arranged so that the vowels always come together?

Select an option to see the answer and solution.

Q120

20 men handshake with each other without repetition. What is the total number of handshakes made?

Select an option to see the answer and solution.

Prev 4 5 6 7 8 Next