Math Chapter Wise

EnglishHaryana PGT 2020

Q81.If a, b, c are positive real numbers which are in G. P., then the equation ax2 + 2bx + c = 0 and dx2 + 2ex + f = 0 have a common root, if d e f,, a b c are in:

AA. P. BG. P CH. P. DNone of the three

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EnglishHaryana PGT 2018

Q82.If a, b, c are three unequal numbers such that a, b, c are in arithmetic progression and b – a, c – b, a are in geometric progression, then a: b: c is:

A1: 2: 4 B1: 3: 5 C1: 2: 3 D2: 3: 4

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EnglishHaryana PGT 2018

Q83.If cos (x – y), cos x and cos (x + y) are in harmonic progression, then cos x sec (y/2) =

A2/± B3/± C2/± D1 2 ±

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EnglishUKPSC GIC 2018

Q84.The pth term of an A.P is q and qth term is p, then its nth tern is

Ap – n Bq – n C(p + q + n) D(p + q – n)

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EnglishUKPSC GIC 2018

Q85.The sum of n terms of an Arithmetic progression (A.P.) is n2 – 2n, then the 5th term of this A.P. is

A5 B7 C8 D16

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EnglishUKPSC GIC 2018

Q86.The two positive number, whose difference is 12 and whose A.M. exceeds their G.M. by 2, are

A32,20 B25,13 C20,8 D16,4

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EnglishUP TGT-2016 (08-03-2019)

Q87.If sum of n terms of an arithmetical progression is 5n2 - 3n, then its pth term is

A10p + 8 B10p–8 C10p + 3 D10p – 3

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EnglishUP TGT-2016 (08-03-2019)

Q88.If the geometric mean of two numbers is 6.0 and arithmetic mean is 6.5 then the difference of squares of these numbers is

A65 B120 C130 D140

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EnglishUP TGT-2016 (08-03-2019)

Q89.Sum of the series 1 1 1........ 2 4 6 + + + + + + + + + + + + is

A2 (e +1) 2e B2 (e -1) 2e C2 e -1 2e D2 e +1 2e

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EnglishUKPSC Lecturer (mains) 2020 UP TGT-2016 (08-03-2019) UP TGT 2016

Q90.If a, b, c are in A.P. and x, y, z are in G.P., then the value of b c c a a b x y z − − − − − − − − − − − − is

A0 B1 C2 D–1

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EnglishUP TGT-2016 (08-03-2019)

Q91.If | x | 1, < < then 2 3 4 x 2x 3x.... 2 3 4 + + + + is equal to

A() e x log 1 x 1 x + − − B() e x log 1 x 1 x + + + C() e x log 1 x 1 x + + − D() e x log 1 x 1 x + − +

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EnglishUP TGT-2016 (08-03-2019)

Q92.In a geometric progression, first term is 7, the last term is 448 and the sum is 889. The common ratio of the geometric progression is

A3/2 B2 C3 D3.5

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EnglishNVS PGT 10-06-2019

Q93.If a, b, c are in A.P. as well as in G.P., then:

Aa = b ≠ c Ba = b = c Ca ≠ b ≠ c Da ≠ b = c

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EnglishNVS PGT 10-06-2019

Q94.The sum of the 24 terms of the series 2 8 18 32... + + + + + + + + + + + + + + + + is:

A500 2 B100 2 C200 2 D300 2

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EnglishNVS PGT 10-06-2019

Q95.Let a, b, c > 0 and abc=1. Then the least value of (())) ((())) ((()) 2 2 2 1 1 1 a b c b c a c a b + + + + + + + + + + + + + + is given by:

A0.5 B2 C1.5 D1

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EnglishKVS PGT 23-12-2018

Q96.A person is to count 4500 notes. Let an denote the number of notes that he counts in nth minute. If a1 = a2 =....... = a10 = 150 and a10, a11, a12,.... are in AP with common difference –2, find the total time spent on counting 4500 notes

A24 minutes B34 minutes C125 minutes D135 minutes

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EnglishKVS PGT 23-12-2018

Q97.If 1 2 3 a,a,a,......are in H.P., then the expression 1 2 2 3 n 1 n a a a a....... a a − + + + + + + + + + + + + is equal to:

A−1 2/n(a a ) B() 1 2 n 1 (a a) − − C1 n/na a D−( ) 1 n/n 1 a a

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EnglishKVS PGT 23-12-2018

Q98.Find the minimum value of 2 2 sin x cos x 4 4 + +:

A1 B2 C4 D16

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EnglishNVS PGT-2022 KVS PGT 23-12-2018

Q99.The first four terms of an A.P. are p, 9, 3p–q and 3p+q. Find the 2010th term of this A.P.:

A8041 B8043 C8045 D8047

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EnglishKVS PGT 23-12-2018

Q100.Three distinct numbers x, y, z from a G.P. in that order and the number x+y, y+z, z+x from an A.P. in that order. Find the common ratio of the G.P.

A1 B–2 C2 D1 or –2

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