Question # 1

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

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

A bag contains 3 white, 4 black and 2 red balls. If 2 balls are drawn at random, then the probability that both the ball are white is

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1/18

1/12

1/36

None of these

9. 8. 7. 6= ______

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In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

All letters of the word "AGAIN" are permuted in all possible ways and the words so formed (with or without meaning) are written as in dictionary, then the 50th word is

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NAAGI

NAAIG

IAANG

INAGA

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

probability of a certain event is

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0

-1

1

∞

The sum if 1,3,5,7,9........ up to 20 terms is

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400

472

563

264

Two balanced dice are tossed once, the sample space when the integers on the faces of two dice are the same is

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{(1, 1), (2, 2), (3, 3)}

{(4, 4), (5, 5), (6, 6)}

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6)}

None of these

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

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36

360

24

6

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

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700

600

720

620

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

When a selection of object is made without paying regard to the order of selection, it is called

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Sequence

Series

Combination

Permutation

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

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1/5

1/4

1/3

1/2

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

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

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950

760

1230

875

If two balls are drawn from a bag containing 3 white, 4 black and 5 red balls. Then the probability that the drawn balls are of different colours is

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1 / 66

3 / 66

19 / 66

47 / 66

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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

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

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How many comittees of 5 numbers can be chosen from a group of 8 players person when each committee must include 2 particular persons

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8!

5!3!

5!

20

Given two independent event A and B such that P(A) = 0.30 and P(B) = 0.60. Probability of getting neither A nor B is

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0.28

0.13

0.12

0.42

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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

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

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