Question # 1

A bag contains 7 whit, 5 black and 4 rd balls. If two balls are drawn at random from the bag, the probability that they are not of the same color is

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73 / 120

83 / 120

67 / 120

43 / 120

A dice is rolled. The probability that the dots on the top are greater than 4 is

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1/6

1/3

1/2

1

An experiment yields 3 mutually exclusive and exhaustive events A, B, C, if P(A) =2 and P(B) = 3. then P(C) =

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1 / 11

2 / 11

3 / 11

6 / 11

An integer is chosen at random from the number ranging from 1 to 50. the probability that the integer chosen is a multiple of 2 or 3 or 10 is

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3 / 10

5 / 10

7 / 10

9 / 10

Number of selections of n different things out of n

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1

nPr

n!

nPr

A card is drawn from a pack of cards numbered 1 to 52, the probability that the number on the card is a perfect square is

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1/13

2/13

7/52

None of these

n!/(n-1)!=

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n

n!

(n-1)!

0!

The number of significant numbers which can be formed by using any number of the digits 0, 1, 2, 3, 4 but using each not more than once in each number is

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260

356

410

96

The factorial of a positive integers is a (an)

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Rational number

Positive integer

Real number

None

n(n - 1) (n - 2) in factorial form is

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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

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

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1 / 2

1 / 3

1 / 4

None of these

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

If n is a negative integer n! is

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1

0

Unique

Not defined

There are 16 point in a plane, in which 6 are collinear. how many lines can be drawn by joining these points?

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10

66

71

106

6! = ______

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360

720

6.5.4

None of these

20. 19. 18. 17= _______

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(n + 2) (n + 1)n in factorial form is

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

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90

45

55

50

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

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

9. 8. 7. 6= ______

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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

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

The number of permutation that can be formed from the letters of the word OBJECT is

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700

600

720

620

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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

Cycle tyres are supplied in lots of 10 and there is a chance if 1 in 500 tyres to be defective. Using Poisson distribution, the approximate number of lots containing no defective tyre in a consignment of 10, 0000 lots is

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9028

9208

9802

9820

An unbiased die is thrown. Then the probability of getting a prime is

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1/2

2/3

3/4

None of these

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

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Mathematics ECAT Pre Engineering Chapter 9 Permutation, Combination and Probability Online Test MCQs With Answers

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