Question # 1

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

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1/2

1/6

1/3

2

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

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

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24

4

12

6

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

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950

760

1230

875

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

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The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

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

A and B throw a dice. The probability that A's throw is not greater then B's is

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5 / 12

7 / 12

1 / 6

1 / 2

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110

220

1320

None of these

Eight chairs are numbered 1 to 8. Two women and three men wish to occupy one chair each. First, the women choose the chairs from amongst the chairs marked 1 to 4 and then the men select the chairs from amongst the remaining. The number of possible arrangement is

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⁶C₃x ⁴C₂

⁴C₂x ⁴P₃

⁴P₂x ⁶P₃

None of these

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

A card is drawn from a pack of cards numbered 2 to 53. the probability that the number on the card is prime number less than 20 is

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2 / 13

4 / 13

5 / 13

8 / 13

The sum of all even numbers less than 100 is

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2450

2352

2272

2468

Two coins are tossed twice each. The probability that the head appears on the first toss and the same forces appear in the two tosses is

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1/4

1/2

1/3

1/7

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

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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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How many 6-Digit number can be formed without repairing any digit from the digits 0,1,2,3,4,5

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720

600

120

6-5!

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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The domain of an infinite sequence is a

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Set of natural numbers

R

Subset of N

None of the above

20. 19. 18. 17= _______

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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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In a class of 100 students, 60 drink tea, 50 drink coffee and 30 drink both. A student from his class is selected at takes at last one of 2 drinks is

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2 / 5

3 / 5

4 / 5

None of these

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0.9

0.74

0.2016

None of these

How many arrangements of the letters of the word MI SSI PPI, taken all together can be made?

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Two cards are drawn at random from a well shuffled pack of cards. The probability that at least one of them is a face card is

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3 / 17

5 / 17

7 / 17

9 / 17

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

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700

600

720

620

Arithmetic mean between 14 and 18 is

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16

17

15

32

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8

1/56

56

None of these

If A and B are two disjoint events then

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P(A∪B)=P(A)+P(B)

P(A∪B)=P(A)-P(A∪B)

P(A∪B)=P(A)or P(B)

None

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

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