Math Chapter Wise

EnglishUP PGT-2016 (02-02-2019)

Q101.The value of 2 2 2 2 1 3 5.... (2n 1) + + + + − + + + + − + + + + − + + + + − is

A() 2 1 n 4n 1 3 − B() 2 1 n 4n 1 3 + C() 2 1 n 4n 1 6 − D() 2 1 n 4n 1 6 +

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EnglishUP PGT-2016 (02-02-2019)

Q102.The least value of 'n', for which 2 n 1 1 3 3.... 3 700 − + + + + > + + + + > + + + + > + + + + > is equal to

A4 B5 C6 D7

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EnglishUP PGT-2016 (02-02-2019)

Q103.Value of 1 1 1 1 1... 1... 2 3 2 3 + + + − + − + + + − + − + + + − + − + + + − + − is

A1 1 2 2 e e − B1 1 2 2 e e − + C2 1 1 2 2 e e − D2 1 1 2 2 e e − +

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EnglishUP PGT-2016 (02-02-2019)

Q104.What is a a a a a 1 n 1 lim 1 2 3..... n, n + + →∞ + + + + + + + + + + + + + + + + a>–1,

A1 a 1 + B2 a 1 + Ca a 1 + Da 1 − +

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q105.If m is an Arithmetic series and the first term of each of them has unit and common difference 1,2,3,...... m respectively. Then what will be the sum of their nth terms?

A[ ] m mn m n 1 2 − + + B[ ] m mn m n 1 2 + − + C[ ] n mn m n 1 2 − + + D[ ] m mn m n 1 2 + − +

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q106.Four arithmetic series, The sum of the terms is S1, S2, S3 and S4 and the first term of each is 2 and common difference is 1,3,5, and 7 respectively then:

AS4 + S3 = S1 + S2 BS4 + S1+ S2 = 2S3 CS4 + S2 = S1 + S3 DS4 + S1 = S2 + S3

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EnglishLT 2018

Q107.The sum of three numbers in arithmetic progression is 51 and the product of first and third terms is 273. The common difference in this progression is

A5 B4 C3 D6

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EnglishLT 2018

Q108.The harmonic mean of two numbers is 4. If their arithmetic mean A and geometric mean G satisfy the equation 2A+G2 =27, then the numbers are

A1, 3 B1, 4 C3, 6 DNone of the above

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EnglishLT 2018

Q109.If n n 0 r s,|r | 1, ∞ = < ∑ ∑ then 2n n 0 r ∞ = ∑ ∑ is equal to

A2 s 2s 1 + B2 s 2s 1 − C2 2s s 1 − Ds2

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EnglishLT 2018

Q110.If x is the first term of a geometric progression and the sum of its infinite terms is 1/3, then x lies in the interval

A1 0 x 2 < < B1 1 x 4 − < < C1 1 x 2 2 − < < D2 0 x 3 < <

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EnglishLT 2018

Q111.The sum of first ten terms of the series 1 1 1.... 21 77 165 + + + + + + + + + + + + is

A10/129 B20/129 C30/129 D40/129

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EnglishLT 2018

Q112.The sum of the series 72+70+68+....+40 is

A950 B952 C954 D956

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q113.The arithmetic mean between the numbers 2 (x y) and 2 (x y) is equal to–

A2 2/x y B2/(x y) C2 2/2x 2y Dnone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q114.The sum of the finite series 5 8 11.... 47 50 is–

A442 B440 C244 D435

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q115.If three positive integers a, b, c are in G.P., then log a, log b, log c are in–

AA.P. BG.P. CBoth A.P. and G.P. DNone of these

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q116.If 3 log 81 x, then the value of x is–

A4 B8 C16 D32

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EnglishDSSSB TGT (SECTION-B) 28 DEC 2014

Q117.How many terms of the G.P. 3, 3 3,,..., 2 4 are needed to give the sum 3069? 512

A8 B10 C9 DNone of these

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EnglishSECTION B PGT TIER-I 31.11.2014

Q118.The limit of the sequence 0.5, 0.55, 0.555... is–

A5/9 B5 C9/5 Dnone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015

Q119.The average of all multiples of 10 from 2 to 198 is–

A90 B100 C110 D120

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EnglishHaryana PGT 2018 JDD-75-PGT TIER II-X-15 28.06.2015

Q120.If log 2, log (2x –1) and log (2x +3) are in arithmetic progression, then x is equal to–

A5/2 B3/2 Clog25 Dlog23

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