Math Chapter Wise

EnglishEMRS TGT-2023

Q21.An experiment succeeds twice as often as it fails. The probability that in the next six trials there will be at least 4 successes, is:

A4 2 28. 3 9 B5 2 29. 3 9 C16 13. 81 9 D4 2 31. 3 9

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EnglishEMRS TGT-2023

Q22.For a Poisson distribution model, if the arrival rate of passengers at an airport is recorded as 30 per hour on a given day, the probability of exactly 4 arrivals in the first 10 minutes of an hour is:

A4 –5 5.e 4! B4 –4 4.e 4! C5 –5 4.e 4! D4 –30 30.e 4!

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EnglishEMRS TGT-2023

Q23.When a random variable can take on any values within a given range where the probability distribution is continuous, it is called:

APoisson's distribution BNormal distribution CBernoulli's distribution DBinomial distribution

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EnglishEMRS TGT-2023

Q24.In the following distribution Monthly income: (in ` ` `) More than 10,000 More than 15,000 More than 20,000 More than 30,000 More than 35,000 More than 35,000 Number of: families 100 85 69 50 33 15 the number of families having income in the range ` ` `20,000-25,000 is:

A17 B18 C19 D16

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EnglishEMRS TGT-2023

Q25.A bag contains 5 white and 3 black balls. Two balls are drawn at random one after the other, without replacement. The probability that both balls are black is:

A3/32 B3/28 C9/56 D9/64

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EnglishEMRS TGT-2023

Q26.If the probability that an individual suffers a bad reaction from an injection of a given serum is 0.001, then using Poisson's distribution, the probability that out of 2000 individuals, exactly 3 will suffer a bad reaction is:

A–2 9 e 2 B–3 2 e 3 C–3 4 e 3 D–2 4 e 3

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EnglishEMRS TGT-2023

Q27.The median and mode of a frequency distribution are 26 and 29 respectively. Then the mean is:

A24.5 B28.4 C25.8 D27.5

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EnglishEMRS TGT-2023

Q28.In the following frequency distribution Height (in cm): 140 - 145 - 150 - 155 - 160 - 165 - 170 Number of students: 13 15 9 10 8 5 The sum of the upper limit of modal class and the lower limit of the median class is:

A295 B305 C300 D310

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EnglishKVS PGT 2023

Q29.If Σ Σ Σƒ ƒ ƒi xi = 3100, Σ Σ Σƒ ƒ ƒi (xi – x)2 = 10050 and n = 50, then the variance is:

A62 B101 C175 D201

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EnglishKVS PGT 2023

Q30.In a class test in mathematics, 7 students obtained 10, 45, 35, 43, 25, 46, 15 marks. The mean deviation from the median is:

A12.2 B11 C12 D11.6

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EnglishKVS PGT 2023

Q31.Seema has two coins which appear identical in her purse. She knows that one is fair and other is two headed. She taken out one, toss it and gets a head. The probability that coin was fair is:

A1/3 B1/4 C2/3 D3/4

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EnglishKVS PGT 2023

Q32.If the probability that a person is not a swimmer is 0.3, then probability that out of 5 persons, 4 are swimmer is:

A5/C1 (.7) (.3)4 B5 C4 (.3)4 (.7) C(.7)4/(.3) D5 C4 (.7)4 (.3)

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EnglishKVS PGT 2023

Q33.A and B are two events such that P(A) = 0.25 and P(B) = 0.50. The probability of both happening together is 0.14. The probability that both A and B are not happening is:

A.61 B.75 C.39 D.86

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EnglishKVS PGT 2023

Q34.The algebraic sum of deviations of 25 observations from 18 is 75, then mean of observations is:

A18 B19 C20 D21

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EnglishKVS PGT 2023

Q35.If 25% of items are less than 20 and 25% are more than 40, the quartile deviation is:

A20 B30 C40 D10

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EnglishKVS PGT 2023

Q36.The mean of 5 observations is 4 and their variance is 5.2. If three of those observations are 1, 2 and 6 the other two are:

A2 and 9 B3 and 8 C4 and 7 D5 and 6

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EnglishKVS PGT 2023

Q37.Three numbers chosen from 1 to 20. Probability that they are not consecutive is:

A186/190 B187/190 C188/190 D183/190

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EnglishNVS PGT 2022

Q38.Two students Anil and Rashi appeared in an examination. The probability that Anil will qualify the examination is 0.05 and that Rashi will qualify the examination is 0.10. The probability that both will qualify the examination is 0.02. The probability that both will not qualify the examination is:

A0.13 B0.98 C0.87 D0.11

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EnglishNVS PGT 2022

Q39.In a relay race there are five teams A, B, C, D and E. The probability that A, B and C are first three to finish the race (in any order) is:

A1/10 B1/60 C1/6 D3/10

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EnglishNVS PGT 2022

Q40.The variance of the observations 13, 17, 10, 20, 16 and 14 is:

A8 B9 C10 D11

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