Math Chapter Wise

EnglishPGT 2002

Q61.Sum of all the coefficients of expansion (x+1)n is:

An(n+1)2n-2 Bn(2n+1)2n-2 C0 D2n

Show answer

EnglishPGT 2002

Q62.The number of permutations of n distinct things taken r together, in which 3 particular things must occur, is:

An/P Bn-3/Pr-3 Cn-3/Pn rr! DNone of these

Show answer

EnglishRajasthan TGT 2016, 2013 UP PGT 2019,16

Q63.Number of terms in the expansion of (()) 25 a b c + + + + is (()) 25 a b c + +

A351 B325 C625 D338

Show answer

EnglishRajasthan TGT 2015

Q64.In the expansion of n (1 px),n,p N + ∈ + ∈ the coefficients of x and x2 are 8 and 24 respectively, then

An 3,p 2 = Bn 4,p 2 = Cn 4,p 3 = Dn 5,p 3 =

Show answer

EnglishRajasthan TGT 2015

Q65.The middle term in the expansion of 2n (x a); + + is

A2n n 1 n 1 n C x a + + B2n n n 1 n C x a + C2n n 1 n 1 n C x a + − D2n n n n C x a

Show answer

English(GIC) 2015

Q66.The binomial expansion of (1+x)–1 is valid only when

A–1≤ x ≤1 Bx ≤ 1 C–1< x <1 Dx ≥ 1

Show answer

EnglishRajasthan TGT 2013

Q67.The 5th term from the end in the expansion of () 3n 1 x - x in increasing power of x, is (n is a positive integer)-

A3n 3n 10 5 C x − B3n 3n 10 5 C x − − C3n 3n 8 4 C x − D() 3n 3n 8 3n 3n 4 1 C x − −

Show answer

EnglishTGT 2013

Q68.In the expansion of (x+a)n, P is the sum of odd terms and Q is even the sum of the terms. Then what is the value of (x+a)2n –(x–a) 2n.

AP +Q BP – Q CPQ D4PQ

Show answer

EnglishTGT 2011

Q69.The coefficient of xn in the expansion of (()))((()) 1 1 x 3 x − − will be

An 1 3 1 2.3 + − Bn 1 3 1 3 + − Cn 1 3 1 2 3 + − DNone of these

Show answer

EnglishTGT 2010

Q70.The middle term of 10 1 x − is

A252 B–252 C253 D–253

Show answer

EnglishTGT 2009

Q71.The 16th term of 17 1 1 2 2 x y −

A136 xy15/2 B136 xy15/2 C–136 xy15/2 DNone of these

Show answer

EnglishTGT 2009 NVS PGT 2022 KVS TGT 2017

Q72.The term independent of x in the expansion 9 2 3x 1 2 3x −

A9 3 3 1 C. 6 B3 9 3 C. 2 C9 3 C DNone of these

Show answer

EnglishTGT 2005

Q73.The coefficient of the greatest term in the expansion of (1+x)2n+2 is:

A() 2!! 2 n B() { } 2 2 2! 1! + n C() 2 2!! 1! + n n n D() 2!! 1! n n n −

Show answer

EnglishPGT 2003

Q74.Find the coefficient of x in the expansion of () 10 1+x 3 1 x −

A120 B119 C111 DNone of these

Show answer

EnglishPGT 2003

Q75.The greatest coefficient in the expansion of (1+x)10 is

A10!/5!6! B10!/2!8! C10!/5!5! D10!/5!4!

Show answer