Math Chapter Wise

EnglishNVS PGT 2022

Q41.The mean of first 3 observations is 23, next 2 observations is 18 and the last 3 observations is 21. The mean of all the 8 observations is:

A20 B20.6 C21 D22

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EnglishNVS PGT 2022

Q42.A box contains 8 red balls, 12 blue balls and 5 yellow balls, 3 balls are drawn at random from the box. The probability of drawing all 3 blue balls is:

A3/25 B12/25 C12/115 D11/115

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EnglishKVS PGT 2022

Q43.On a shelf, two books of Mathematics, four books of Physics and three books of Chemistry are placed. How many different collections can be made such that the collection has at least one book of each subject?

A315 B24 C18 D105

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EnglishKVS PGT 2022

Q44.The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is

A12 B18 C9 D6

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EnglishKVS PGT 2022

Q45.Numbers 1, 2, 3, 4, 5, 6, 7, 8, 9 and 10 are given. If 2 is added to each number, the variance of the number will be:

A8.25 B6.5 C3.87 D4.48

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EnglishKVS PGT 2022

Q46.The standard deviation of the first 10 natural numbers is:

A5.5 B2.87 C3.77 D2.97

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EnglishKVS PGT 2022

Q47.Given that ∑ ∑ ∑fi = 80, ∑ ∑ ∑fi xi = 4000 and ∑ ∑ ∑fi |xi − x | =1280 for a set of observations. Mean deviation about the mean is:

A50 B13.4 C17.2 D16

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EnglishKVS PGT 2022

Q48.If m is the mean of a Poisson distribution, then variance is:

Am2 B1 2 m Cm Dm/2

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EnglishKVS PGT 2022

Q49.If the probability of A to fail in an examination is 1 5 and that of B to fail is 3, 10 then the probability that either A or B fails is:

A19/50 B1/2 C11/25 D17/50

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EnglishKVS PGT 2022

Q50.If in a binomial distribution, n = 4 and P(X = 0) = 16 81,then P(X = 4) is equal to:

A1/16 B1/27 C1/81 D1/8

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EnglishKVS PGT 2022

Q51.It is given that 6% of the people with blood group O are left handed and 10% of those with other blood group are left handed and 30% of the people have blood group O. If a left handed person is selected at random, the probability that he/she will have blood group O is:

A35/44 B9/44 C11/125 D77/125

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EnglishOAVS TGT 2022

Q52.In a town of 6000 people, 1200 are over 50 years old and 2000 are females. It is known that 30% of the females are over 50 years. What is the probability that a randomly chosen individual from the town is either female or over 50 years?

A7/15 B17/30 C13/30 D14/15

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EnglishOAVS TGT 2022

Q53.If the correlation is perfect, then the coefficient of correlation should be:

A+1 B–1 C0 D±1

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EnglishOAVS TGT 2022

Q54.If X is a poisson variate such that P(X = k) =P(X = k + 1) for some positive integers ‘k’ then the mean is:

Ak + 1 Bk + 3 Ck Dk + 2

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EnglishOAVS TGT 2022

Q55.A continuous random variable X has a Probability density function of f(x) = 3x2, 0 ≤ x ≤ 1. If P (X ≤ 1) = P(X > > > a), then a = _________.

A1 3 1 2 B1 4 1 2 C1/2 D1 2 1 2

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EnglishOAVS TGT 2022

Q56.If the modal height of a group of students, where data is given below is 152.8 cm, then what is the value of x? Height (in cm) 145-150 150-155 155-160 160-165 165-170 No. of students 22 36 x 17 4

A26 B27 C25 D24

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EnglishOAVS TGT 2022

Q57.Find the median of the given data. Terms 3 5 7 9 11 13 15 Frequency 3 2 8 4 12 10 4

A9 B13 C11 D7

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EnglishOAVS TGT 2022

Q58.If a card is drawn from a deck of 52 cards, then the probability of getting a king or a heart or a red card is:

A1/13 B7/13 C2/13 D5/13

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EnglishRPSC PGT 2022

Q59.The mean deviation from mean of the a, a + d, a + 2d, ………… a + 2nd is -

A(n 1) d (2n 1) + Bn(n 1) d (2n 1) + Cn d 2n 1 + D1n(n 1) d 2(2n 1) +

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EnglishRPSC PGT 2022

Q60.“A” bag contains 2 white and 3 black balls and “B” bag contains 4 white and 5 black balls. A ball is drawn from either. Bag. If it is black, then what is probability that it was drawn from “B” bag?

A26/45 B75/156 C65/156 D75/158

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