Question # 1

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8

1/56

56

None of these

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

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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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0

20

90

80

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

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(n + 2) (n + 1) n= ______

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probability of a certain event is

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0

-1

1

∞

The number of 5-digit number that can be formed from the digits 1,2,4,6,8, when 2 and 8 are never together is

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72

48

144

20

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

The value of n, when ⁿP₂= 20 is

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3

4

6

5

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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)!

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

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6

360

120

24

20. 19. 18. 17= _______

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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

A bag contains 5 white, 7 red and 5 black balls. If four balls are drawn one by one with replacement, the probability that none is white is

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(11/16)²

(5/16)²

(11/16)⁴

(5/16)⁴

A box contains 10 red 30 white and 20 black marbles When a marble is drawn at random the probability that it is either red or white is

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1/6

1/3

1/2

2/3

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

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400

472

563

264

5 unbiased coins coins are tossed simultaneously. The probability of getting at least one head is

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1 / 32

31 / 32

1 / 16

None of these

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

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

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1/2

1/6

1/3

2

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

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

6! = ______

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360

720

6.5.4

None of these

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

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

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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

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