Math Chapter Wise

EnglishPGT 2005

Q21.If A, B, C are sets, which of the following is correct?

AA∪(B∩C) = (A∪B) ∩ C BA∩(B∪C) = (A∩B) ∪ C CA∩(B∩C) = (A∩B) ∩ C DA~(B∪C) = (A~B) ∪ C

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EnglishPGT 2005

Q22.Sum to infinity of the series 2 3 4 1 2 1 2.... 7 7 7 7 + + + + + ∞ + + + + + ∞ + + + + + ∞ + + + + + ∞ is:

A3/16 B1/5 C1/24 D1/16

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EnglishPGT 2005

Q23.If (1+2x+3x2)10 = a0+a1x+a2x2 +……+a20x20 then a1 is equal to

A10 B20 C210 D4

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EnglishPGT 2005

Q24.The coefficient of x2 in the expansion of e3x–4 is:

A2 3 2 − e B4 9 2 e C2 9 2 − e D4 9 2 − e

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EnglishPGT 2003

Q25.Find the value 1 3 1 3 5 1 3 5 7 1... 2! 3! 4! + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

Ae Be2 C2e DNone

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EnglishPGT 2003

Q26.Find the value of 2 2 3 1 3 1 3 3 1 3 3 3 1... 2! 3! 4! + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + + +

A1 (1) 2 − e e B1 2 e C() 2 1 2 − e e D() 2 1 2 − e e

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EnglishPGT 2003

Q27.Which of the following statement is true?

A1 1 1 0 log − < < x e x x x B1 1 0 log − < < x e x x x C1 1 0 log 1 x e x x − < < D1 1 1 log 2 x e x x − < <

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EnglishPGT 2002

Q28.2 3 1 1 1 1 1........ n 2 3 n n − + + ∞ = − + + ∞ = − + + ∞ = − + + ∞ =

Alog(n+1) Blog(n+1)–log n Clog(1+n)–log (n–1) DNone of these

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EnglishPGT 2000

Q29.If 3 6 9 1 1 y x x x........ 2 3 = − − − ∞ = − − − ∞ = − − − ∞ = − − − ∞ the value of x3 is:

A−y/1 e By 1 e + Cy 1 2e + D−2y/1 e

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EnglishJharkhand TGT 2017

Q30.If Z=eax sin by, where 'a' and 'b' are real constant, then Zxy =

Abeax/cos by Baeax/sin by Cabeax/cos by Dabeax/sin by

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EnglishJharkhand TGT 2017

Q31.The sum (((()))) (((()))) 2 4 1 1 1......... 3.4 5.4 − + − ∞ = − + − ∞ = − + − ∞ = − + − ∞ =

Atan–1/4 B4/π C1 1 4tan 4 − D1 sin 4 − π

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EnglishKVS TGT DEC 2017

Q32.If 2log(x+1)–log(x2 –1) = log2. then x equals–

A0 B1 C2 D3

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English(GIC) ØeJeòeâe hejer#ee, 2015

Q33.If x 4 f(x) 4 2 then f(x) f(1 x) is equal to–

A0 B–1 C1 D4

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EnglishGIC Lecturer Exam, 2015

Q34.The inverse of the function x x a a f(x) a a − = + is–

A1 x log 1 x Ba 1 1 x log 2 1 x Ca 1 x log 1 x Da 1 1 x log 2 1 x

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EnglishTGT 2011

Q35.The sum of 3 3 3 2 3 4 1...... 2! 3! 4! + + + + + + + + + + + + + + + + is

A5e–1 B5e–3 C4e DNone of these

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EnglishTGT 2010

Q36.Sum of 1 1 1 1.2.3 3.4.5 5.6.7 + + + +.....+ ∞ ∞ ∞ is

A1 log 2 2 e − B1 log 2 2 e + Clog 2/e DNone of these

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EnglishTGT 2010

Q37.The sum of 1 1 1 2 3 4 − + − +........∞ ∞ ∞ is

Ae–2 Be–1 C1 2 e − D1 2 e

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EnglishTGT 2010

Q38.Thevalue of 2 3 a b 1 a b 1 a b a 2 a 3 a − − − − − − − − − − − − + + + + + + + + + + + +..... is

Aloge a – loge b Bloge b – loge a Cloge a ± loge b DNone of these

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EnglishTGT 2009

Q39.Sum of 3 5 7 9 1...... 1 2 3 4 + + + + + + ∞ + + + + + + ∞ + + + + + + ∞ + + + + + + ∞ is -

A3e B2e Ce DNone of these

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