Math Chapter Wise

EnglishKVS TGT 2017

Q141.Three of the six vertices of a regular hexagon are chosen at random. What is the probability that the triangle with these vertices is equilateral?

A3/10 B3/20 C1/20 D1/10

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EnglishKVS TGT 2017

Q142.If A, B, C are three mutually exclusive and exhaustive events of an experiment such that 3P(A) = 2P(B) = P(C), then P(A) is equal to–

A1/11 B2/11 C5/11 D6/11

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EnglishKVS TGT 2017

Q143.Three digit numbers are formed using the digits 0, 2, 4, 6, 8. A number is chosen at random out of these numbers. What is the probability that this number has the same digits?

A1/16 B16/25 C1/645 D1/25

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EnglishKVS TGT 2017

Q144.The probability that at least one of the events A and B occurs is 0.6. If A and B occur simultaneously with probability 0.2, then P(A) + P(B) is–

A0.4 B0.8 C1.2 D1.6

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EnglishKVS TGT 2017

Q145.A single letter is selected at random from the word 'PROBABILITY'. The probability that it is a vowel is:

A1/3 B4/11 C2/11 D3/11

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EnglishKVS TGT 2017

Q146.The number of possible outcomes, when a coin is tossed 6 times is–

A36 B32 C12 D64

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English

Q147.Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The total number of persons in the room is–

A11 B12 C13 D14

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EnglishKVS TGT 2017

Q148.The total number of 9 digit numbers which have all different digits is–

A10! B9! C10 10 D9 9!/×

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q149.If 'r' represents coefficient of correlation and bxy, byx represent coefficients of regression, then which of the following is NOT correct?

A2 r 1 ≤ Byx xy b b 1 = Cyx xy 1 b 2,b 3 = Dxy yx b –1.5,b –0.9 =

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q150.If the mean of a binomial distribution is 3, then its variance could be

A4.5 B5.5 C3.5 D1.5

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q151.The regression coefficients remain unaffected due to a-

Achange of scale Bchange of origin CBoth (a) and (b) DNone of the above

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q152.Let X be a random variable having Poisson distribution. If P (x=2)=3P (x=4), then standard deviation of X is-

A1/2 B2 C2 D3

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q153.If a random variable X has Poisson distribution with mean 3, then P (x > 2.5) is equal to-

A3 5 1– e B3 10 1– 3e C3 17 1– 2e DNone of the above/

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EnglishUP TGT 2021

Q154.If for a moderately symmetrical distribution mean deviation is 12, then the value of standard deviation is

A15 B12 C24 DNone of the above

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EnglishUP TGT 2021

Q155.The mean weight of 9 items is 15 kg. If one more item is added then the mean weight becomes 16 kg, then the weight of tenth item will be/9

A20 kg B15 kg C25 kg D30 kg

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EnglishUP TGT 2021

Q156.If the mean of x, x + 2, x + 4, x + 6, x + 8 is 11, then what is the mean of the last three observations?

A8 B10 C12 D13

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EnglishUP TGT 2021

Q157.Which one of the following is not a measure of central tendency?

AMean BRange CMedian DMode

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EnglishUP TGT 2021

Q158.If the arithmetic mean from the following data x 5 15 25 35 45 f 6 4 3 k 2 is 21.5, the value of k will be

A3 B3.5 C4 D5

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q159.If Z=aX+bY and 'r' is the coefficient of correlation between X and Y, then which of the following is true?

Az x y a b σ = σ + σ B2 2 2 2 2 z x y a b – r σ = σ + σ CImage/formula option C (see source) D2 2 2 2 2 z x y x y a b 2abr σ = σ + σ + σ

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EnglishUPPSC Polytechnic Lecturer 2021 (I)

Q160.If the regression line of 'y' on 'x' is ax+by+k=0 and the regression line of 'x' on 'y' is Ax+By+K=0, then-

AaB bA/≤ BaB bA/≥ CaA bB/≤ DaA bB/≥

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