Math Chapter Wise

EnglishRajasthan TGT 2016

Q161.If x3, y3, z3 are in A.P.; logxy, logzx, logyz are in G.P. and xyz = 64, then x, y and z are

Ain A.P. only Bin G.P. only Cboth in A.P. and G.P. DNeither in A.P. nor in G.P.

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EnglishRajasthan TGT 2015

Q162.If 2 3 4 y x x x x....., = − + − + = − + − + = − + − + = − + − + then

A2 3 4 x y y y y....... = − + − + B2 3 4 x y y y y....... = + + + + C2 3 4 x y y y y....... = − + − + + D2 3 4 x y y y y....... = − − − − +

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EnglishRajasthan TGT 2013

Q163.If the mean of a, b, c is M and ab + bc = –ca, then mean of a2, b2, c2 is-

AM2 B3M2 C6M2 D9M2

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EnglishKVS TGT DEC 2017

Q164.If the progressions 3, 10, 17,......and 63, 65, 67,........ are such that their's nth terms are equal. then n is equal to–

A13 B15 C9 D8

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EnglishTGT 2011

Q165.Which of the following is true for the set of different positive values?

AAM GM HM/≥ BHM GM AM/≥ CAM > GM > HM DGN > AM > HM

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EnglishTGT 2011, 2010

Q166.If ax = by = cz and b2 =ac then y=

Axz x y + B() xz 2 x z − C() xz 2 z x − D2xz z x +

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English(GIC)Lecturer Examination, 2015

Q167.The following three consecutive terms − − 1 1 1,, 1 x 1+ x 1 x are in

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

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English(GIC) Lecturer Examination, 2015

Q168.If a, b, c are three positive unequal numbers in Harmonic progression, then which one of the following is correct?

Aa5 +c5 >3b5 Ba5 +c5 >2b5 Ca5 +c5 >b5 Da5 +c5 >b5

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English(GIC) Lecturer Examination, 2015

Q169.If in an A.P. pth term is q and th qth term is p. then which term will be zero?

Ath/(p 1) term Bth/(q 1) term Cth/(p q) term Dth/(q p) term

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English(GIC) Lecturer Examination, 2015

Q170.If a, 4, b are in AP and a, 2, b are in GP, then a, 1, b are in–

AAP BGP CHP Dnone of the above

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EnglishTGT 2013

Q171.If the sum of the first natural numbers is S1 the sum of their squares is S2 and the sum of their cubes is S3. then what will be the relation between S1,S2 and S3

A() 2 2 3 1 9S S 1 8S = + B() 2 2 3 1 9S S 1 8S = − C() 2 2 1 3 9S S 1 5S = − D() 2 2 1 3 9S S 1 5S = +

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EnglishTGT 2013

Q172.If p, q, r, s are in G.P then 2 2 2 2 2 2 1 1 1,, p q q r r s + + + + + + + + + + + + will be:

AA.P. BG.P. CH.P. Dnone of these

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EnglishTGT 2010

Q173.If y = x +x2 + x3 +......∞ ∞ ∞, x is positive and less than 1, then

A1 y x y = + B1 x y = + C1 y x y = − Dnone of these

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EnglishTGT 2010

Q174.If logx a, ax/2 and logb x are in G.P., then x =

Aloga(logb a) B–loga(loga b) Cloga(loge a) – loga(loge b) Dloga(loge b) = loga(loge a)

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EnglishTGT 2010

Q175.The mth term of an A.P. is n and its nth terms is m. Its rth term is

Am + n – r Bm – n + r Cm + n + r Dm – n – r

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EnglishTGT 2010

Q176.If logℓ x, logm x and logn x are in A.P., then value of n2 is (where x ≠ 1)

Alog () ℓ e mn Blog () ℓ m ln Clog () m n nm Dnone of these

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EnglishTGT 2009

Q177.If a, b, c are in A.P.,b, c, d. are in G.P. and c, d, e are in H.P. then a, c, e will be

AA.P. BG.P. CH.P. Dnone of these

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EnglishTGT 2009

Q178.13, 23, 33, 43.......(n–1)3, sum of n3 is

A2 n(n 1) 2 + Bn(n 1) 2 + C2 n 1 2 + Dnone of these

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EnglishTGT 2009

Q179.The sum of the terms of three arithmetic progressions are S1, S2 and S3. First term of all category is 1 and common difference 1,2 and 3 respectively, then

AS1 + S3 = 2S2 BS1 + S3 = S2 CS1 + S2 = 2S3 DS2 + S3 = S1

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EnglishTGT 2005

Q180.If ((()) n 1 S nP n n 1 Q 2 = + − = + − = + − = + − Where Sn represents sum of the first terms of the A.P.n then what will be the common difference.

AA.P. BG.P. CH.P. Dnone of these

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