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EXAM Math Questions and Answer Page 2870

(#M40020725) EXAM QUESTION permutation Keep an EYE

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

A.

25

B.

41

C.

22

D.

42

E.

31

Asked In exam MAN (12 years ago)

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(#M40020721) EXAM QUESTION permutation Keep an EYE

In how many ways can 5 different toys be packed in 3 identical boxes such that no box is empty, if any of the boxes may hold all of the toys?

A.

20

B.

30

C.

25

D.

600

E.

480

Asked In exam MAN (12 years ago)

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(#M40020717) EXAM QUESTION permutation Keep an EYE

A family consist of a grandfather, 5 sons and daughter and 8 grandchildren. They are to be seated in a row for dinner. The grandchildren wish to occupy the 4 seats at each end and the grandfather refuses to have a grandchild on either side of him. The number of ways in which the family can be made to sit is:

A.

21530

B.

8! × 480

C.

8! × 360

D.

8! × 240

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(#M40020715) EXAM QUESTION permutation Keep an EYE

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?

A.

10

B.

12

C.

15

D.

20

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(#M40020713) EXAM QUESTION permutation Keep an EYE

There are three prizes to be distributed among five students. If no students gets more than one prize, then this can be done in:

A.

10 ways

B.

30 ways

C.

60 ways

D.

80 ways

Asked In exam MAN (12 years ago)

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(#M40020711) EXAM QUESTION permutation Keep an EYE

In an examination paper, there are two groups each containing 4 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?

A.

24

B.

48

C.

96

D.

64

Asked In exam MAN (12 years ago)

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(#M40020709) EXAM QUESTION permutation Keep an EYE

There are 6 equally spaced points A,B,C,D,E and F marked on a circle with radius R. How many convex pentagons of distinctly different areas can be drawn using these points as vertices?

A.

6P5

B.

1

C.

5

D.

None of these

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(#M40020708) EXAM QUESTION permutation Keep an EYE

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), covering the shortest possible distance.

A.

252

B.

432

C.

462

D.

504

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(#M40020707) EXAM QUESTION permutation Keep an EYE

Out of eight crew members three particular members can sit only on the left side. Another two particular members can sit only on the right side. Find the number of ways in which the crew can be arranged so that four men can sit on each side.

A.

864

B.

863

C.

865

D.

1728

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(#M40020705) EXAM QUESTION permutation Keep an EYE

A box contains 10 balls out of which 3 are red and rest are blue. In how many ways can a random sample of 6 balls be drawn from the bag so that at the most 2 red balls are included in the sample and no sample has all the 6 balls of the same colour?

A.

105

B.

168

C.

189

D.

120

Asked In exam MAN (12 years ago)

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(#M40020704) EXAM QUESTION permutation Keep an EYE

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 how many ways can the 10 passengers be seated?

A.

172000

B.

12600

C.

45920

D.

43200

Asked In exam MAN (12 years ago)

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(#M40020703) EXAM QUESTION permutation Keep an EYE

Find the total number of distinct vehicle numbers that can be formed using two letters followed by two numbers. Letters need to be distinct.

A.

60000

B.

65000

C.

70000

D.

75000

Asked In exam MAN (12 years ago)

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(#M40020702) EXAM QUESTION permutation Keep an EYE

There are five women and six men in a group. From this group a committee of 4 is to be chosen. How many different ways can a committee be formed that contain three women and one man?

A.

55

B.

60

C.

25

D.

192

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(#M40020701) EXAM QUESTION permutation Keep an EYE

How many diagonals can be drawn in a pentagon?

A.

5

B.

10

C.

8

D.

7

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(#M40020700) EXAM QUESTION permutation Keep an EYE

After every get-together every person present shakes the hand of every other person. If there were 105 handshakes in all, how many persons were present in the party?

A.

14

B.

13

C.

15

D.

16

Asked In exam MAN (12 years ago)

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(#M40020699) EXAM QUESTION permutation Keep an EYE

In a hockey championship, there are 153 matches played. Every two team played one match with each other. The number of teams participating in the championship is:

A.

18

B.

19

C.

17

D.

16

Asked In exam MAN (12 years ago)

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(#M40020698) EXAM QUESTION permutation Keep an EYE

In how many ways a President, VP and Waterboy can be selected from a group of 10 people.

A.

10C3

B.

10P3

C.

240

D.

360

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(#M40020697) EXAM QUESTION permutation Keep an EYE

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 ways can a candidate attempt the questions?

A.

209

B.

(4!-1)(5!-1)(6!-1)

C.

119

D.

29295

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(#M40020696) EXAM QUESTION permutation Keep an EYE

From 6 men and 4 ladies, a committee of 5 is to be formed. In how many ways can this be done, if the committee is to include at least one lady?

A.

246

B.

340

C.

290

D.

315

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(#M40020695) EXAM QUESTION permutation Keep an EYE

There are 7 non-collinear points. How many triangles can be drawn by joining these points?

A.

35

B.

10

C.

8

D.

7

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(#M40020694) EXAM QUESTION permutation Keep an EYE

There are 12 yes or no questions. How many ways can these be answered?

A.

4096

B.

2048

C.

1024

D.

144

Asked In exam MAN (12 years ago)

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(#M40020693) EXAM QUESTION permutation Keep an EYE

In how many ways can six different rings be worn on four fingers of one hand?

A.

10

B.

12

C.

15

D.

16

Asked In exam MAN (12 years ago)

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(#M40020692) EXAM QUESTION permutation Keep an EYE

If 6Pr=360 and 6Cr=15 find r ?

A.

4

B.

3

C.

6

D.

5

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(#M40020691) EXAM QUESTION permutation Keep an EYE

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 number of ways the task can be done.

A.

360

B.

384

C.

432

D.

470

Asked In exam MAN (12 years ago)

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(#M40020690) EXAM QUESTION permutation Keep an EYE

Ten different letters of alphabet are given, words with 5 letters are formed from these given letters. Then, the number of words which have at least one letter repeated is:

A.

69760

B.

30240

C.

99748

D.

42386

Asked In exam MAN (12 years ago)

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(#M40020689) EXAM QUESTION permutation Keep an EYE

If 5×nP3=4×n+1P3 find n?

A.

10

B.

12

C.

11

D.

14

Asked In exam MAN (12 years ago)

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(#M40020688) EXAM QUESTION permutation Keep an EYE

The letter of the word LABOUR are permuted in all possible ways and the words thus formed are arranged as in a dictionary. What is the rank of the word LABOUR?

A.

275

B.

251

C.

240

D.

242

Asked In exam MAN (12 years ago)

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(#M40020687) EXAM QUESTION permutation Keep an EYE

A class photograph has to be taken. The front row consists of 6 girls who are sitting. 20 boys are standing behind. The two corner positions are reserved for the 2 tallest boys. In how many ways can the students be arranged?

A.

6! × 1440

B.

18! × 1440

C.

18! ×2! × 1440

D.

None of these

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(#M40020686) EXAM QUESTION permutation Keep an EYE

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

(i)- How many different ways are there to select a group of four students to attend the conference?

(ii)- If the members of the club decide to send two juniors and two seniors, how many different groupings are possible?

A.

(i): 37C4 , (ii): 14C2×23C2

B.

(i): 37P4 , (ii): 14P2×23P2

C.

(i): 37P4 , (ii): 14C2×23C2

D.

(i): 37C4 , (ii): 14P2×23P2

Asked In exam MAN (12 years ago)

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(#M40020684) EXAM QUESTION time and work Keep an EYE

12 men cam complete a piece of work in 36 days, 18 women can complete the same piece of work in 60 days. 8 men and 20 women work together for 20 days. If only women were to complete the remaining piece of work in 4 day, how many women would be required?

A.

70

B.

28

C.

66

D.

40

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