Math Chapter Wise

EnglishNVS PGT 2022

Q41.The variance of the observations 13, 17, 10, 20, 16 and 14 is:

A8 B9 C10 D11

Show answer

EnglishNVS PGT 2022

Q42.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

Show answer

EnglishNVS PGT 2022

Q43.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

Show answer

EnglishKVS PGT 2022

Q44.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

Show answer

EnglishKVS PGT 2022

Q45.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

Show answer

EnglishKVS PGT 2022

Q46.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

Show answer

EnglishKVS PGT 2022

Q47.The standard deviation of the first 10 natural numbers is:

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

Show answer

EnglishKVS PGT 2022

Q48.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

Show answer

EnglishKVS PGT 2022

Q49.If m is the mean of a Poisson distribution, then variance is:

Am2 B1 2 m Cm Dm/2

Show answer

EnglishKVS PGT 2022

Q50.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

Show answer

EnglishKVS PGT 2022

Q51.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

Show answer

EnglishKVS PGT 2022

Q52.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

Show answer

EnglishOAVS TGT 2022

Q53.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

Show answer

EnglishOAVS TGT 2022

Q54.If the correlation is perfect, then the coefficient of correlation should be:

A+1 B–1 C0 D±1

Show answer

EnglishOAVS TGT 2022

Q55.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

Show answer

EnglishOAVS TGT 2022

Q56.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

Show answer

EnglishOAVS TGT 2022

Q57.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

Show answer

EnglishOAVS TGT 2022

Q58.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

Show answer

EnglishOAVS TGT 2022

Q59.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

Show answer

EnglishRPSC PGT 2022

Q60.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) +

Show answer