Question # 1

A machine operates if all of its three components function. The probability that the first component fails during the year is 0.14, the second component fails is 0.10 and the third component fails is 0.05. the probability that the machine will fail during the year is

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0.2647

0.2692

0.3647

None of these

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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120

5

4

6

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 factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

The number of the diagonals of a 6 sided figure is

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15

21

9

6

Three dice are thrown together. The probability of getting a total of at least 6 is

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103 / 108

10 / 216

93 / 108

None of these

How many arrangements of the letters of the word MATHEMATICS can be made

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Arithmetic mean between 14 and 18 is

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16

17

15

32

Riaz, Saba. Maria, Shehzad are to give speeches in a class. The teacher can arrange the order of their presentation in

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4 ways

12 ways

256 ways

24 ways

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

Fifteen girls compete in a race. The first three places can be taken by them in

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3! ways

12! ways

15 x 14 x 13 ways

42 ways

Two cards are drawn at random without replacement. the probability that the first is a king and second is not a king is

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48 / 663

24 / 663

12 / 663

None of these

If for two events A and B , P(A∪B)=1,then events A and B are

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Certain events

Mutually exclusive

Complementary events

Independent

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How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

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

The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

How many arrangements of the letters of the word PAKISTAN cab be made

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The key for opening a door is in a bunch of 10 keys. A man attempts to open the door by trying the keys at random discarding the wrong key. The probability that the door is opened in the 5th trial is

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1 / 10

2 / 10

3 / 10

4 / 10

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110

220

1320

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

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0

20

90

80

Probability of an impossible event is

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0

-1

1

∞

The number of permutations of n objects of which there are n₁like of one kind, n₂like of the second kind and n₃like objects of third kind are

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A die is thrown, the probability that the dots on the top are prime numbers or odd numbers is

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1/2

2/3

1/3

2/5

The probability that the sum of dots appearing in two successive thrown of two dice, in every time 7 is

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1/5

1/36

1/7

1/63

A box containing 10 mangoes out of which 4 are rotter. Two mangoes are taken together from the box. If one of them is found to be good, the probability that the other is also good is

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1 / 3

8 / 15

5 / 13

5 / 9

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

Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

A class contains nine boys and three girls, in how many ways can the teacher choose a committee of four?

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460

495

272

60

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