Math Chapter Wise

EnglishUP PGT 2021

Q61.The value of 52 + 62 + 72 +....... + 202 is –

A2040 B2540 C2840 D3840

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EnglishUP TGT 2021

Q62.The value of n, for which n+1 n+1 n n a + b a + b is the harmonic mean of a and b, is

A–1 B0 C1 D1/2

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EnglishUP TGT 2021 UP PGT 2013

Q63.If (b – c)2, (c – a)2, (a – b)2 are in A.P., then 1 1 1,, b – c c – a a – b will be in

AH.P. BG.P. CA.P. DNone of the above

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EnglishUP TGT 2021

Q64.Sum of the series ∞ 3 5 2 + +1+ +...... 2 8 is

A2 B4 C6 D12

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EnglishUPPSC Ashram Paddhati 2021

Q65.If the nth term of the progression 5, √ √ √5, 1,......... is 1 3125, then the value of n is

A10 B11 C12 D13

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EnglishUKPSC Lecturer (Mains) 2020

Q66.Sum of the n terms of a G.P. is S, product is P and sum of the reciprocals of the terms is R, then P2 =

An 1 S R − Bn S R Cn 1 S R + Dn/2 S R

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EnglishUKPSC Lecturer (Mains) 2020 TGT 2005

Q67.If n 1 S = nb + n(n -1)c 2 where, Sn denotes the sum of the first n terms of an A.P., then the common difference is:

Ab + c B2b + 3c C2b Dc

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EnglishUKPSC Lecturer (Mains) 2020

Q68.How many number of identical terms are there in the two Arithmetic Progression 2,5,8,11, …….(60 terms) and 3,5,7…….(50 terms)?

A15 B17 C16 D18

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EnglishHaryana PGT 2019

Q69.If sum of series 1+ 4x + 7x2 + 10x3 +...∞ ∞ ∞, where x <1, is 35, 16 then x equals:

A2/5 B1/5 C3/5 DNone of these

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EnglishUK SSSC LT 2020

Q70.Sum of the squares of first n natural numbers is: 2 2 2 2 2 n 1 2 3 n ∑ = + + + − − − − − + ∑ = + + + − − − − − + ∑ = + + + − − − − − + ∑ = + + + − − − − − +

A()() n n 1 2n 1 6 + + B()() n 1 2n 1 6 + + C() 2 n n 1 2 + DNone of the above

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EnglishHaryana PGT 2019

Q71.A man saves Rs. 200 in each of the first three months of his service, In each of the subsequent months, his saving increases by Rs. 40 more than the saving of immediately previous month. His total saving from the start of service will be Rs.11,040 after:

A19 months B20 months C21months D18 months

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EnglishHaryana PGT 2019

Q72.In a geometric progression consisting of positive terms, each term equal the sum of the next two terms. Then the common ratio of this progression equal:

Asin 18° B2 cos 18° Ccos 18° D2 sin 18°

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EnglishHaryana TGT 2019

Q73.If arithmetic mean, geometric mean and Harmonic mean between two numbers 'a' and 'b' are A, G, and H respectively, then A, G, H will be:

AIn Harmonic Series BIn Arithmetic Series CIn Geometric Series DBoth Harmonic and Geometric Series

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EnglishHaryana TGT 2019

Q74.Third term of sequence an= (–1)n (n–7) is:

A8 B–8 C4 D–4

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EnglishHaryana TGT 2019

Q75.For what value of 'K'; K+2, 4K–6, 3K–2 are three consecutive terms of an A.P.?

A1 B–1 C3 D–3

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EnglishHaryana TGT 2019

Q76.A man with a certain monthly salary and earns a fixed increment every year. If his salary was Rs. 1500 after 4 years of service and Rs. 1800 after 10 years of service. What was his starting salary?

ARs. 1100 BRs. 1200 CRs. 1300 DRs. 1400

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EnglishHaryana TGT 2019

Q77.A square is drawn by joining the mid-points of the sides of a given square. In the same way, this process continues indefinitely. If side of the first square is 4 cm, than the sum of the area of all the squares are equal to:

A32 cm2 B16 cm2 C64 cm2 D48 cm2

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q78.Let us say a, b, c are in AP then which of the following in not true?

Ab + b = a + c Bb – a = c – b Cb + a = c + b D2b = a + c

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EnglishDSSSB TGT 04-09-2021 Shift-I (Male)

Q79.Find out the common ratio of the GP if the first term of a GP is 1 and the sum of the third term and fifth term is 90

A3 B2 C9 D4

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EnglishHaryana PGT 2020

Q80.If 5th term and 7th term of a harmonic progression are respectively 7 and 5, then its 35th term will be:

A2 B1 C1/35 D1/5

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