Question # 1

A coin is tossed. If head comes up, a die is thrown but if tail comes up, the coin is tossed again. The probability of obtaining a head and an even number is

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1/8

2/8

3/8

None of these

How many terms of the A.P 3,6,9,12,15...........must be taken to make the sum 108

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8

6

7

36

There are n seats round a table numbered 1, 2, 3 .... n. The number of ways in which m person can take seats is

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ⁿP_m

ⁿC_mx (m - 1) !

^n-1P_m

None of these

The probability to get an odd number in a dice thrown once is

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6

1

1/6

1/2

Form a group of 5 men and 3 women, a committee of 4 persons is to be selected randomly. The probability that there is a majority of men is

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1/4

1/3

1/2

1/6

The probability that a person A will be alive 15 years hence is 5/7 and the probability that another person B will be alive 15 years hence is 7/9. Find the probability that both will be alive 15 years hence

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4/63

5/9

45/49

None of these

There are 25 tickets bearing number from 1 to 25. One ticket is drawn at random. The probability that the number on it is a multiple of 5 or 6 is

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7 / 25

9 / 25

11 / 25

None of these

Number of selections of n different things out of n

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1

nPr

n!

nPr

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3

6

0

None of these

Number of combination of zero or more things out of n different things

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nPn

nPr

nCr

2n

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

A committee consists of 9 experts taken from three institutions A, B, and C, of which 2 are from, A, 3 form B and 4 from C. If three experts resign, then the probability that they belong to different institutions is

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1 / 729

1 / 24

1 / 21

2 / 7

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36

360

24

6

The number of words that can be formed out of the letters of the word ASSASSINATION is

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Probability of an impossible event is

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0

-1

1

∞

If S is a sample space and event set E =Φ then P(E) is

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>0

1

<1

0

In a school there are 150 students Out of these 80 students enrolled for mathematics class.50 enrolled for English class and 60 enrolled for Physics class The student enrolled for English cannot attend any other class but the students of mathematics and Physics can take two courses at a time find the number of students who have taken both physics and mathematics.

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40

30

50

60

If n is a negative integer n! is

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1

0

Unique

Not defined

How many different 5-digit even numbers are possible form digit 1,2,4,6,8

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4 : 4!

4!

5!

4!+4!

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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

If n is a positive integer then n! is

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(n - 1) (n - 2) .....3,.2.1

n(n - 1) (n - 2) ...3.2.1

n(n - 1 ) ( n -2) ... 3

None of these

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

The probability of getting a number between 1 and 100 which is divisible by 1 and itself if only is

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1 / 4

1 / 2

3 / 4

25 / 98

The probability that a slip of numbers divisible by 4 is picked from the slips of number 1,2,3,4,......10 is

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1/5

2/5

1/10

3/10

The number of combinations of 10 different objects taken 8 objects at a time is

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90

45

55

50

Three unbiased coins are tossed. Then the probabilities of getting two heads is

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3/8

1/8

1/4

None of these

Two unbiased dice are thrown. The probability that the total score is > 5 is

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1 / 18

7 / 18

13 / 18

11 / 18

How many necklaces can be made from 6 beads of different colours?

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120

60

24

15

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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