Math Chapter Wise

EnglishKVS TGT 2017

Q21.The sum of the co-efficiencts in the expansion of (1 – x)10 is–

A1 B0 C102 D1024

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EnglishKVS TGT 2017

Q22.The expansion of 1 6 3x in powers of x is valid if

Ax < 2 Bx 2 Cx > 2 Dx 2

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EnglishKVS TGT 2017

Q23.The fifth term from the end in the expansion of 12 3 2 x 2 2 x is–

A4 7920 x B4 7920 x C4/7920x D4/7920x

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EnglishKVS TGT 2017

Q24.The middle term in the expansion of 10 1 x is–

A10 4 1 C x B10 5 C C10 6 C D10 4 5 C x

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EnglishUP PGT 2021

Q25.The coefficient of x n in the expansion of (1 – 2x + 3x 2 – 4x 3 +.......) –n

A(–1) n+1 n B() 2 2n! n! C() () 2n! n 1! n 1! + − DNone of the above

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EnglishUP PGT 2021

Q26.In the expansion of 9 3 2 – 4 x the 4th term from the end is –

A3 48 x B3 84 x C3 64 x D3 72 x

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EnglishUP PGT 2021 UPPSC Ashram Paddhati.2021

Q27.n r n r r=0 3 C ∑ is equal to

A2n B3n C4n D1

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EnglishUP TGT 2021

Q28.The term independent of x in the expansion of 6 1 2x + 3x is

A160/9 B80/9 C160/27 D80/3

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EnglishUPPSC Ashram Paddhati 2021

Q29.The coefficient of x4 in the expansion of 12 3 x 3 – 3 x is

A8 66 3 B10 66 3 C9 66 – 3 D10 66 – 3

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EnglishUKPSC Lecturer (Mains) 2020

Q30.The coefficient of x3 in the expansion of 12 2 3 2 − x, is:

A1485/128 B-1485/128 C–1485/256 D495/128

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EnglishUKPSC Lecturer (Mains) 2020

Q31.if n ≥ k, then the value of k k+1 k+2 n k k k k C + C + C +...+ C is:

An+2 k+2 C Bn+2 k+1 C Cn+1 k+1 C Dn+1 k C

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EnglishUKPSC Lecturer (Mains) 2020

Q32.If n-1 n-1 n 3 4 3 C + C > C, then

An > 7 Bn = 7 Cn < 7 DNone of these

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EnglishHaryana PGT 2019

Q33.The term independent of x in the expansion of 10 2/3 1/3 1/2 x +1 x – 1 – x – x +1 x – x is:

A4 B120 C210 D310

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EnglishHaryana TGT 2020

Q34.If () ∑ 2n n 2 r r r=0 1+ 2x + x = a x, then ar =

A2n r C Bn n r r 1 C. C + C() 2 n r C D2n r 1 C +

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EnglishHaryana TGT 2019 PGT 2002

Q35.General term in the expansion of (x+a)n is:

An n r r r C x.a − Bn r r r C x.a Cn n r r n r C x.a − Dn r n r n r C x.a − −

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EnglishHaryana PGT 2020

Q36.The coefficient of x2 in the expansion of (20x2 – 9x + 1)–1 is: 1 Here x < 5

A–20 B20 C61 D60

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EnglishHaryana PGT 2020

Q37.If x2 – 5x + 1 = 0, then 10 5 x +1 = x

A2424 B3232 C2525 D2323

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EnglishHaryana PGT 2018

Q38.In the expansion of (1 + x)50, the sum of the coefficients of odd powers of x is:

A0 B1 C249 D251

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EnglishUKPSC GIC 2018 DSSSB TGT (Section B) 28.12.2014 DSSSB TGT (SECTION-B) 28 DEC 2014

Q39.The value of (7 C0 + 7 C1) + (7 C1 + 7 C2)+....+ (7 C6 + 7 C7) is

A27/–1 B28/–1 C28/–2 D28

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EnglishUKPSC GIC 2018

Q40.In the expansion of (1 + x)43, the co-efficients of (2r + 1)th and (r + 2)th terms are equal, then the value of r is

A16 B15 C13 D14

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