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This section includes InterviewSolutions, each offering curated multiple-choice questions to sharpen your knowledge and support exam preparation. Choose a topic below to get started.

51.

A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many wa

Answer»

29295



NA

52.

A, B, C and D are four non-coplanar points. The number of planes that can be drawn passing through any three of these points, is

Answer»

4



NA

53.

How many words can be formed by re-arranging the letters of the word ASCENT such that A and T occupy the first and last position respectively?

Answer»

4!



NA

54.

If all the numbers 2, 3, 4, 5, 6, 7, 8 are arranged, find the number of arrangements in which 2, 3, 4, are together?

Answer»

720



NA

55.

A teacher of 6 students takes 2 of his students at a time to a zoo as often as he can, without taking the same pair of children together more than once. How many times does the teacher go to the zoo?

Answer»

15



NA

56.

Find the value of 3p1?

Answer»

3



NA

57.

Three gentlemen and three ladies are candidates for two vacancies. A voter has to vote for two candidates. In how many ways can one cast his vote?

Answer»

15



NA

58.

In how many ways 2 students can be chosen from the class of 20 students?

Answer»

190



NA

59.

A question paper has two parts, A and B, each containing 10 questions. If a student has to choose 8 from part A and 5 from part B, in how many ways can he choose the questions?

Answer»

11340



NA

60.

In how many different number of ways 4 boys and 2 girls can sit on a bench?

Answer»

720



NA

61.

In how many different number of ways 4 boys and 3 girls can sit on a bench such that girls always sit together.

Answer»

720



NA

62.

How many words can be formed by using all letters of the word 'BIHAR'?

Answer»

120



NA

63.

In how many ways can the letter of the word ' civilization' be arranged ?

Answer»

12! / 4! -1



NA

64.

Evaluate 25!/23!

Answer»

600



NA

65.

A question paper has two parts P and Q, each containing 10 questions. If a student needs to choose 8 from part P and 4 from part Q, in how many ways can he do that?

Answer»

9450



NA

66.

In how many ways can Ram choose a vowel and a constant from the letters of the word ALLAHABAD?

Answer»

4



NA

67.

In how many different ways can 5 girls and 5 boys form a circle such that the boys and the girls alternate?

Answer»

2880



NA

68.

How many 6 digit telephone numbers can be formed if each number starts with 35 and no digit appears more than once?

Answer»

1680



NA

69.

A coin is tossed 3 times. Find out the number of possible outcomes.

Answer»

8



NA

70.

In a railway compartment, there are 2 rows of seats facing each other with accommodation for 5 in each, 4 wish to sit facing forward and 3 facing towards the rear while 3 others are indifferent. In ho

Answer»

43200



NA

71.

How many ways can 10 letters be posted in 5 post boxes, if each of the post boxes can take more than 10 letters ?

Answer»

5C5



NA

72.

How many arrangements of the letters of the word ‘BENGALI’ can be made if the vowels are never together.

Answer»

720



NA

73.

In how many ways, a committee of 3 men and 2 women can be formed out of a total of 4 men and 4 women ?

Answer»

24



NA

74.

In how many ways can 5 man draw water from 5 taps if no tap can be used more than once?

Answer»

120



NA

75.

The number of ways in which a couple can sit around a table with 6 guests if the couple take consecutive seat is

Answer»

1440



NA

76.

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

Answer»

360



NA

77.

There are fourteen juniors and twenty-three seniors in the Service Club. The club is to send four representatives to the State Conference. If the members of the club decide to send two juniors and two

Answer»

23023



NA

78.

When six fairs coins are tossed simultaneously, in how many of the outcomes will at most three of the coins turn up as heads ?

Answer»

42



NA

79.

How many nos. greater than 800 and less than 4000 can be made with the digits 0, I, 2, 4, 5, 7, 8, 9, no number (digit) occurring more than once in the same number?

Answer»

504



NA

80.

How many different words beginning with O and ending with E can be formed with the letters of the word ORDINATE, so that the words are beginning with O and ending with E?

Answer»

8!



NA

81.

How many words can be formed by using all letters of the word ‘BIHAR’ ?

Answer»

120



NA

82.

How many arrangements can be made out of the letters of the word 'ENGINEERING' ?

Answer»

277200



NA

83.

In how many ways can 21 books on English and 19 books on Hindi be placed in a row on a shelf so that two books on hindi may not be together?

Answer»

1540



NA

84.

The value of 75P2 is

Answer»

 5,550



NA

85.

Find the number of diagonals formed in hexagon .

Answer»

9



NA

86.

12 chairs are arranged in a row and are numbered 1 to 12. 4 men have to be seated in these chairs so that the chairs numbered 1 to 8 should be occupied and no two men occupy adjacent chairs. Find the

Answer»

384



NA

87.

A group consists of 4 men, 6 women and 5 children. In how many ways can 3 men, 2 women and 3 children selected from the given group?

Answer»

600



NA

88.

How many four digit even numbers can be formed using the digits {2, 3, 5, 1, 7, 9}

Answer»

60



NA

89.

What is the total number of ways in which Dishu can distribute 9 distinct gifts among his 8 distinct girlfriends such that each of them gets at least one gift?

Answer»

36 * 8!



NA

90.

Suppose 7 students are staying in a hall in a hostel and they are allotted 7 beds. Among them, Parvin does not want a bed next to Anju because Anju snores. Then, in how many ways can you allot the bed

Answer»

3600



NA

91.

In how many ways can an animal trainer arrange 5 lions and 4 tigers in a row so that no two lions are together?

Answer»

2880



NA

92.

In how many ways 4 boys and 3 girls can be seated in a row so that they are alternate.

Answer»

144



NA

93.

In how many ways can 8 Indians and, 4 American and 4 Englishmen can be seated in a row so that all person of the same nationality sit together?

Answer»

3! 4! 8! 4!



NA

94.

How many numbers can be formed with the digits 1, 6, 7, 8, 6, 1 so that the odd digits always occupy the odd places

Answer»

18



NA

95.

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

Answer»

64



NA

96.

A man positioned at the origin of the coordinate system. the man can take steps of unit measure in the direction North, East, West or South. Find the number of ways of he can reach the point (5,6), co

Answer»

462



NA

97.

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

Answer»

4320



NA

98.

How many necklaces of 12 beads can be made from 18 beads of various colours ?

Answer»

[119 X 13!] / 2



NA

99.

A committee has 5 men and 6 women. What are the number of ways of selecting 2 men and 3 women from the given committee?

Answer»

200



NA

100.

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

Answer»

36



NA