Question # 1

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

A die is rolled. What is the probability that the dots on the top are greater than 4?

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1/4

1/2

1/3

1/33

Out of 10, 000 families with 4 children each, the number of families all of whose children are daughters is

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375

500

625

150

The domain of a finite sequence is a

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Set of natural numbers

R

Subset of N

Proper subset of N

If 4 ⁶P_r= ⁶P_r+1, then r is equal to

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4

3

2

1

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

6! = ______

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360

720

6.5.4

None of these

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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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

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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

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

0! = ______

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0

1

2

Not defined

n!/(n-1)!=

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n

n!

(n-1)!

0!

Product of any n consecutive positive integers is divisible by

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n

√n

n!

None

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

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5!

4!

3!

120

nCn-r is equal to

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n!

n-1Cr

nCr

None of these

Four cards are drawn at random from a pack of 52 playing cards. The probability of getting all the four cars of the same suit is

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44/4165

22/4165

11/4165

None of these

How many signals can be given by 5 flags of different colours, using 3 flags at a time

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120

60

24

15

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

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

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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

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

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

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8

1/56

56

None of these

If A is an event then which of the following is true

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P(A)<0

0≥P(A)≤1

P(A)>0

None

The sample space for tossing a coin twice is

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{H, T}

{HH, HT, TH, TT}

{H, T, HH}

{HH, HT, TT}

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

Three numbers are chosen random without replacement from {1, 2, 3, ...., 10}. the probability that minimum of the chosen numbering is 3 or their maximum is 7

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7 / 40

5 / 40

11 / 40

None of these

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0

20

90

80

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