Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q41.Mohan is father of 3 children with atleast one boy. The probability that he has 2 boys and 1 girl is

A1/2 B1/3 C1/4 D2/3

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EnglishUP TGT-2016 (08-03-2019)

Q42.If 9 P5 + 5.9 P4 = 10 Pr, then the value r is

A2 B3 C5 D7

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EnglishUP TGT-2016 (08-03-2019)

Q43.Three dice are thrown randomly. The probability of coming 3 in at least one die is

A180/216 B91/216 C5/216 D125/216

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EnglishUP TGT-2016 (08-03-2019)

Q44.In how many ways the latter of the word BALLOON be arranged so that two L do not come together?

A1260 B360 C900 D1060

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EnglishNVS PGT 10-06-2019

Q45.Two girls and four boys are to be seated in a row in such a way that the girls do NOT sit together. In how many different ways can it be done?

A480 B240 C360 D720

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EnglishNVS PGT 10-06-2019

Q46.If one ball is drawn at random from three boxes containing '3' red and '1' green, '2' red and '2' green, '1' red and '3' green balls, then the probability of drawing '2' red and '1' green ball is:

A1/32 B13/32 C3/16 D1/4

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EnglishKVS PGT 23-12-2018

Q47.A candidate is required to answer 7 questions out of 12 questions which are divided into two sections, each containing 6 questions. He is not allowed to attempt more than 5 questions from each group. In how many ways, he can attempt the paper?

A180 B600 C792 D780

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EnglishKVS PGT 23-12-2018

Q48.Identity permutation is always an:

Aodd permutation Beven permutation Ccyclic permutation Dtransposition

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EnglishKVS PGT 23-12-2018

Q49.A committee of 6 is to be chosen from 10 men and 7 women so as to have at least 3 men and 2 women. In how many different ways can this be done if two particular women refuse to be in the same committee?

A9376 B8610 C7800 D7200

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EnglishKVS PGT 23-12-2018

Q50.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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EnglishKVS PGT 23-12-2018

Q51.The number of committees of five persons including a chairperson can be selected from 12 persons, is:

A330 B462 C792 D3960

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EnglishKVS PGT 23-12-2018

Q52.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

Q53.If n 1 n n 1 r 1 r r 1 C: C: C 11:6: 3, + − + − = then (nr) is equal to:

A20 B30 C40 D50

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EnglishUP PGT-2016 (02-02-2019)

Q54.There are 15 points in a plane such that no three of them are collinear. The number of triangles formed by joining them is

A455 B2730 C355 D454

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q55.There are three rooms I, II and III in a game. Room I has 2 boxes containing gift items and 3 empty boxes. Room II contains 3 boxes containing gift items and 2 empty boxes. Room III containers 4 boxes containing gift items and 1 empty box. Each room choosen by a player has the same probability. Mr. John Selects a box from a room choosen at random. What is the probability that Mr. John wins a box of goodies?

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

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q56.If 'X' is a random variable that takes any value xi, i≥1 with 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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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q57.How many cards must be picked from a standard pack of 52 cards to surely get 2 cards of the same suit? (Club, Diamond, Heart and Spade are the Suits)

A4 B2 C5 D3

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EnglishLT 2018

Q58.If ((())) ((()) 7 8 P A,P B 15 15 = and ((()) 11 P A B, 15 ∩ = then P(A/B) is

A3/8 B11/8 C7/8 D5/8

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EnglishLT 2018

Q59.A coin is thrown 6 times. The probability of getting exactly four heads is

A1/4 B3/4 C5/16 D15/64

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EnglishLT 2018

Q60.A bag contains 8 red and 5 white balls. Three balls are drawn at random. The probability that one ball is red and two balls are white, is

A40/143 B80/146 C10/296 D5/286

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