Math Chapter Wise

EnglishEMRS PGT-2023

Q01.There are 10 points in a plane, out of these 6 are collinear. If N is the number of triangles formed by joining these points, then:

AN ≤ 100 B100 < N ≤ 140 C140 < N < 190 DN > 190

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EnglishEMRS PGT-2023

Q02.A student is to answer 10 questions out of 13 questions in an examination such that he must choose at least 4 from the first five questions. The number of choices available to him is:

A196 B280 C346 D140

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EnglishBihar (TRE 2.0)-2023

Q03.How many different groups of 5 men and 2 women can be made out of a total 7 men and 3 women?

A36 B64 C63 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q04.There are 12 people at a party. They all shake hands exactly once with everyone else in the party. The total number of handshakes took place at the party is

A60 B76 C66 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q05.In how many ways can 10 letters be posted in 5 postboxes, if each of the postboxes can take more than 10 letters?

A5/C10 B10/P5 C510 DMore than one of the above ENone of the above

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EnglishBihar (TRE 2.0)-2023

Q06.A triangle is formed by joining any three non- collinear points in pairs. How many triangles can be formed, if there are n non-collinear points?

A3n B()() n n 1 n 2 6 − − Cn (n -1)(n - 2) DMore than one of the above ENone of the above

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EnglishKVS PGT 2023

Q07.Three balls are drawn from a bag containing three red, five white and two yellow balls. The number of ways in which this can be done, if at least two are red is:

A44 B120 C21 D22

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EnglishKVS PGT 2023

Q08.The number of ways in which a team of 11 players can be selected from 20 players always including one of them and excluding 3 of them is:

A19/C10 B16/C11 C16/C10 D20/C10

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EnglishKVS PGT 2023

Q09.The number of different four digit numbers that can be formed with the digit 3, 4, 6 and 8 using each digit only once is:

A24 B100 C80 D96

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EnglishKVS PGT 2023

Q10.Out of 16 points in a plane no three are in straight line except 4 points which are collinear. The number of straight lines that can be formed by joining them is:

A110 B119 C115 D121

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EnglishNVS PGT 2022

Q11.In how many ways the letter of the word BALLOON be arranged so that two L do not come together?

A1260 B360 C900 D1060

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EnglishNVS PGT 2022

Q12.How many 9-digit numbers can be formed which have all different digits?

A10! B9! C9×9! D10×10!

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EnglishNVS PGT 2022

Q13.If the number of points on a circle is ‘n’ and the number of different triangles formed by joining these points is 84, then the value of ‘n’ is:

A9 B7 C8 D6

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EnglishKVS PGT 2022

Q14.If n Pr =840 and n Cr=35, then value of r is:

A8 B4 C5 D2

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EnglishRPSC PGT 2022

Q15.The number of different 5 letter words, with or without meaning, that can be formed from the letters of word “SRIRAJASTHANAMA” is-

A15/C5× 5 B15 P5 5 2 2 C9 C 5 5 × D8 C 5 5 ×

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EnglishDSSSB PGT 2021

Q16.If 2n+1 Pn–1: 2n–1 Pn = 3: 5, then find the value of n.

A–4 B4 C5 D3

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EnglishOAVS TGT 2019

Q17.The value of () 15 2 15 2 15 2 15 2 0 1 2 15 C – C + C –..... – C is:

A–15 B0 C15 D1

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EnglishOAVS TGT 2019

Q18.If n n 5 3 P = 20 P then the value of n is given by:

A6 B8 C4 D2

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EnglishOAVS TGT 2019

Q19.How many number of six digits which can be formed from the digits 4, 5, 6, 7, 8, 9 with no digits being repeated are not divisibly by 5?

A780 B600 C690 D540

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EnglishOAVS TGT 2019

Q20.The number of diagonals which can be drawn in a plane figure of 16 sides is:

A190 B153 C170 D104

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