Question # 1

The sum of all positive integral multiple of 5 less than 100 is

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950

760

1230

875

n(n - 1) (n - 2) .... (n - r + 1) = ______

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An event having more than one sample point is called

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Certain event

Compound event

Simple event

None

The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

6! = ______

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360

720

6.5.4

None of these

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Number of permutations of n distinct objects taken r(<n - 3) at a time which exclude 3(<n) particular objects is

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3! P(n, r - 3)

P(n, 3) P(n, r - 3)

P(r, r)P(n, r - 3)

P(n - 3, r)

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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

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1 / 2

1 / 3

1 / 4

None of these

For a positive integer n

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n! = n(n + 1)

n! = n(n+1)!

n! = n(n - 1 )

n! = n(n - 1)!

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0.9

0.74

0.2016

None of these

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

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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

Number of ways of writing the letters of WORD taken all at a time is

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24

4

12

6

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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

A key ring is an example of

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Permutation

Circular permutation

Combination

None

How many 3 digit numbers can be formed by using each one of the digit 2, 3, 5, 7, 9 only once?

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15

24

60

120

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

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6

1

1/6

1/2

The sample space for tossing a coin once is

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{T, T}

{H, H}

{H, T}

None of these

For two events A and B if P(A) = P (A/B) = 1/4 and P(B/A) = 1/2, then

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A is sub-event of B

A and B are mutually exclusive

A and B are independent and P(A/B) = 3/4

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

Five engineering, four mathematics, two chemistry books are placed on a table at random.The probability that the books of each kind are all together is

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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

9. 8. 7. 6= ______

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The sum of all odd numbers between 100 and 200 is

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6200

7500

6500

3750

In 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

20

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n!

0!

1

None of these

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ECAT Pre General Science Mathematics Chapter 9 Permutation, Combination & Probability Online Test MCQs With Answers

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