Math Chapter Wise

EnglishUP TGT-2016 (08-03-2019)

Q41.In the expansion of 15 2 3x x − which term is free from x?

A4th B5th C6th D7th

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EnglishNVS PGT 10-06-2019

Q42.Suppose a random variable X follows a Binomial distribution with parameters n=6 and p. If 9P(x=4)=P(x=2), then the value of p is:

A1/3 B1 C1/2 D1/4

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EnglishNVS PGT 10-06-2019

Q43.The largest integer n for which 35! is divisible by 3n, is given by:

A1 B3 C11 D15

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EnglishNVS PGT 10-06-2019

Q44.The coefficient of 2009 x in the expansion of (())) (((()))) 2007 2008 2 1 x 1 x x − + + − + + − + + − + + is given by:

A0 B–1 C1 D3

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EnglishKVS PGT 23-12-2018

Q45.The value of the expression 26 31 30 29 28 27 26 4 4 4 4 4 4 5 C C C C C C C + + + + + + + + + + + + + + + + + + + + + + + + equals

A32 3 C B32 4 C C32 5 C D31 5 C

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EnglishKVS PGT 23-12-2018

Q46.The coefficient of xn in the expansion of (()))((()))n 1 x 1 x + − + − is:

A(n–1) B−( )n 1/1 n C() () n 1 1 n − − D() () n 1 2 1 1 n − − −

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EnglishKVS PGT 23-12-2018

Q47.Which of the following is the greatest?

A31 2 31 2 31 2 31 2 0 1 2 31 C C C...... C − + − − B32 2 32 2 32 2 32 2 0 1 2 32 C C C...... C − + + + C32 2 32 2 32 2 32 2 0 1 2 32 C C C...... C + + + + D34 2 34 2 34 2 34 2 0 1 2 34 C C C...... C − + + +

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EnglishKVS PGT 23-12-2018

Q48.If the coefficient of rth, (r+1)th and (r+2)th terms in the expansion of (1+x)14 are in A.P., then the value of r is:

A5 or 8 B5 or 9 C4 or 9 D6 or 7

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EnglishUP PGT-2016 (02-02-2019)

Q49.If 2n 1 2n 1 n 1 n P: P 3: 5, + − − − = then n is equal to

A2 B3 C4 D5

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EnglishUP PGT-2016 (02-02-2019)

Q50.If the sum of the coefficients of powers of 'x' in the expansion of (((()))) 48 2 3 2 a x 8ax 16 − + − + is zero, then 'a' is equal to

A–2 B–1 C2 D4

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EnglishUP PGT-2016 (02-02-2019)

Q51.The coefficient of the middle term in the expansion of (((()))) 8 2 3 1 3x 3x x + + + + + + + + + + + + in powers of x is

A12 6 C B12 8 C C24 8 C D24 12 C

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EnglishDSSSB 23 SEP 2018 (9 AM-11 AM)

Q52.In the expansion of 21 1 1 3 7 5 2 +, the sum of all rational terms is:

A78125 B78117 C78133 D78149

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EnglishSECTION B PGT TIER-I 31.11.2014

Q53.The total number of terms in the expansion of 51 51 (x a) (x a) after simplification is–

A102 B25 C26 DNone of these

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

Q54.The sum of n 1 n 1 n 1 1 2 n 1 c c.... c + + + + + + + + + + + + + + + + + + + + + + + + + is equal to

An 1/2 + Bn 1 2 1 + − Cn/2 DNone of these

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EnglishJDD-75-PGT TIER II-X-15 28.06.2015 TGT 2011

Q55.lf the coefficients of 7 x and 8 x in n x 2 3 + are equal, then n is equal to–

A56 B55 C45 DNone of these

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EnglishPGT 2011

Q56.The coefficient of x4 in the expansion of 10 2 x 3 2 x − is

A405/256 B504/259 C450/263 DNone of these

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EnglishPGT 2011

Q57.If 20 Cr+1 = 20 Cr–1 then the value of r is:

A10 B11 C12 D19

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EnglishPGT 2011

Q58.(())) ((())) ((()) 2 3 4 1 1 1 x 1 x 1 x 1 x 1..... 2 3 4 e − − − + − − − + − − − + − − − + − − − + − − − + − − − + − − − + is equal to

Alog (x–1) Blog x Cx DNone of these

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EnglishPGT 2010

Q59.The coefficient of x5 in the expansion of (1+x2)5 (1+x)4 is

A30 B60 C40 DNone of these

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EnglishPGT 2010

Q60.The sum of coefficients of the polynomial (1+x– 3x2)15 is

A–1 B1 C0 DNone of these

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