Math Chapter Wise

EnglishPGT 2011

Q201.A bag contain 5 black and 4 white socks. A man pulls out two socks. The probability that they are of the same colour is:

A5/108 B1/6 C5/18 D4/9

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EnglishPGT 2013

Q202.If two dice are thrown simultaneously, then what is the probability that the sum of the numbers appearing on both the dice is 7?

A1/6 B5/6 C1/2 D1/12

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EnglishPGT 2004

Q203.3 bulbs are chosen at random from 20 bulbs, out of which 4 are defective. The probability that the room is lighted, will be

A282/285 B283/285 C284/285 DNone of the above

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EnglishSECTION B PGT TIER-I 31.11.2014

Q204.In a leap year the probability of having 53 Sundays or 53 Mondays is–

A2/7 B3/7 C4/7 D5/7

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EnglishSECTION B PGT TIER-I 31.11.2014

Q205.The probability that in a family of 5 members, exactly two members have birthday on Sunday, is–

A3 5 12 2 7 B2 5 10 6 7 C2/5 D3 5 10 6 7

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EnglishSECTION B PGT TIER-I 31.11.2014

Q206.If the events A and B are independent, then P(A B) is equal to –

AP(A) P(B) BP(A) P(B) CP(A).P(B) DP(A) P(B)

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EnglishSECTION B PGT TIER-I 31.11.2014

Q207.A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is–

A45/196 B135/392 C15/56 D15/29

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q208.Given set { { { } } A 2,3,4,5 = and set { { } } B 11,12,13,14,15, Two numbers randomly are selected from each set what is probability that the sum of the numbers equal 16?

A0.2 B0.25 C0.3 D0.35

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q209.An unbiased coin is tossed five times The outcome of each toss is either a head or a tail, The probability of getting at least one head is–

A1/32 B13/32 C15/32 D31/32

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q210.The probability that a student knows the correct answer to a multiple choice question is 2/3. lf the student does not know the answer, then the student guesses the answer. The probability of the guessed answer being correct is 1 4. Given that the student has answered the question correctly, the conditional probability that the student known the correct answer is–

A2/3 B3/4 C5/6 D8/9

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q211.Two events A and B occur with probabilities 0.25 and 0.50. The probability that they occur simultaneously is 0.14. What is the probability that neither of them occur?

A0.39 B0.61 C0.72 D0.28

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q212.From a group of 5 boys and 3 girls, three persons are chosen at random. Find the probability that there are more girls than boys–

A2/7 B5/8 C4/7 D3/8

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q213.A box contains 100 bulbs, out of which 10 are defective. A sample of 5 bulbs is drawn. The probability that none is defective is–

A9/10 B5 1 10 C5 9 10 D5 1 2

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EnglishTGT 2001

Q214.A person draws a card from a deck of cards and puts it back in the deck. He continues doing this process until be gets a spades card. If he fails to draw spades the first two times, what will be the probability that he will draw spades the third time?

A9/64 B1/64 C1/16 D9/16

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q215.A five digit number is formed by using the digits 1,2,3,4,5 is a random order without repetitions. Then the probability that the number is divisible by 4 is–

A3/5 B18/5 C1/5 D6/5

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EnglishDSSSB PGT/TGT (SECTION-B) 28 DEC 2014 UPTGT 2004

Q216.A coin is tossed 3 times. The probability of getting head and tail alternatively is–

A1/4 B1/8 C1/2 D3/8

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EnglishKVS PGT 23-12-2018

Q217.If the integers m and n are chosen at random from the numbers between 1 and 100, then probability that a number of the form (7m +7n) is divisible by 5 is:

A1/4 B1/7 C1/8 D1/49

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EnglishKVS PGT 23-12-2018

Q218.The mean and variance of a random variable having binomial probability distribution are 4 and 2 respectively, then P(X=1) is:

A1/32 B1/16 C1/8 D1/4

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q219.There are three rooms I, II and III in a game. Room I contains 2 boxes containing gift items and 3 empty boxes. Room II contains 3 boxes containing gift items and 2 empty boxes, and room III contains 4 boxes containing gift items and 1 empty box. Each room chosen by a player has equal probability. Mr. John selects one box from a randomly selected room. What is the probability that Mr. John wins a box containing gift items?

A4/5 B2/5 C1/5 D3/5

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q220.If X is a random variable that takes any value xi, i≥1 with the corresponding probability P(xi) and E[X] denotes the expected value of X, then E[ax2 +bx+c] is-

A() i i i x p x ∑ B() () () () { } 2 i i i i i a x p x b x p x c + + ∑ C() 2 i i i x p x ∑ D() () 2 i i i i ax bx c p x + + ∑

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