JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 5 - MCQExams.com

If the coefficients of 4th term in the expansion of (a + b)n is 56, then n is
  • 12
  • 10
  • 8
  • 6
If the second, third term in the expansion of (x + a)n are 240, 720 and 1080 respectively, then the value of n is
  • 15
  • 20
  • 10
  • 5
The coefficient of x5 in the expansion of (x + 3)6 is
  • 18
  • 6
  • 12
  • 10
The largest term in the expansion of (4 + 2x)49 where x = 1/3 is
  • 3rd
  • 5th
  • 8th
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11461.png
  • 10
  • 12
  • 14
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11462.png
  • 3k - 1
  • 3k
  • 3k + 1
  • 3k + 2
The coefficient of xn in expansion of (1 + x) (1 – x)n is
  • (–1)n – 1 n
  • (–1)n (1 – n)
  • (–1)n – 1 (n – 1)2
  • (n – 1)
The greatest in the expansion of (1 + 3x)54 where x = 1/3, is
  • T28
  • T25
  • T26
  • T24

Maths-Binomial Theorem and Mathematical lnduction-11464.png
  • 2n
  • 2n – 1
  • 0
  • 2n–1
The sum of all the coefficients in the binomial expansion of (x2 + x – 3)319 is
  • 1
  • 2
  • –1
  • 0
The sum of the coefficients of even power of x in the expansion of (1 + x + x2 + x3)5 is
  • 256
  • 128
  • 512
  • 64
The sum of the last eight coefficients in the expansion of (1 + x)15 is
  • 216
  • 215
  • 214
  • None of these
The number 111 ....... 1(times is
  • Not a prime
  • An even number
  • Not an odd number
  • None of these
The sum of coefficients in the expansion of (x + 2y + 3z)8 is
  • 38
  • 58
  • 68
  • None of these
In the expansion of (1 + x)50, the sum of the coefficients of odd powers of x is
  • 0
  • 249
  • 250
  • 251
In the expansion of (1 + x)5, the sum of the coefficient of the terms is
  • 80
  • 16
  • 32
  • 64

Maths-Binomial Theorem and Mathematical lnduction-11472.png

  • Maths-Binomial Theorem and Mathematical lnduction-11473.png
  • 219
  • 20C10
  • None of these
If (1 + ax)n = 1+ 8x + 24x2 + ..., then the value of a and n is
  • 2,4
  • 2,3
  • 3,6
  • 1,2
The coefficient of x5 in the expansion of (1 + x2)5 (1 + x)4 is
  • 30
  • 60
  • 40
  • None of these
The value of x in the expression [x + xlog10(x)]5, if the third term in the expansion is 10,00,000
  • 10
  • 11
  • 12
  • None of these
In the polynomial (x –(x –(x –... (x – 100), the coefficient of x99 is
  • 5050
  • –5050
  • 100
  • 99
The coefficient of (2r + 4)th and (r – 2)th terms in the expansion of (1 + x)18 are equal, then r =
  • 12
  • 10
  • 8
  • 6
Middle term in the expansion of (1 + 3x + 3x2 + x3)6 is
  • 4th
  • 3rd
  • 10th
  • None of these
The term independent of y in the expansion of (y–1/6 – y1/3)9 is
  • 84
  • 8.4
  • 0.84
  • –84
The sum of the coefficients in the expansion of (1 + x – 3x2)2163 will be
  • 0
  • 1
  • –1
  • 22163
The sum of the coefficients in the expansion of (x + y)n is 4096. The greatest coefficient in the expansion is
  • 1024
  • 924
  • 824
  • 724
For every natural number n,32n+2 – 8n – 9 is divisible by
  • 16
  • 128
  • 256
  • None of these
The least remainder when 1730 is divided by 5 is
  • 1
  • 2
  • 3
  • 4
The value of the natural numbers n such that the inequal 2n > 2n + 1 is valid is
  • For n ≥ 3
  • For n < 3
  • For mn
  • For any n
The sum of the coefficients in the expansion of (5χ - 4y)n , where n is a positive integer is
  • 0
  • n
  • 1
  • - 1
The greatest term in the expansion of (1 + 3χ)54 , where χ = 1/3 is
  • T28
  • T25
  • T26
  • T24
The expression nC0 + 2nC1 + 3nC2 + (n + 1)nCn is equal to
  • (n + 1)2n
  • 2n(n + 2)
  • (n + 2)2n-1
  • (n + 2)2n+1
The sum of series 20C0 – 20C1 + 20C2 – 20C3 + ...+20C10 is
  • –20C10
  • (1/20C10
  • 0
  • 20C10
If the coefficient of rth, (r + 1)th and (r + 2)th term in the binomial expansion of (1 + y)m are in AP, then m and r satisfy the equation
  • m2 – m(4r –+ 4r2 + 2 = 0
  • m2 - m(4r–+ 4r2 – 2 = 0
  • m2– m(4r ++ 4r2 + 2 = 0
  • m2 – n(4r –+ 4r2– 2 = 0
The sum of the last ten co-efficients in the expansion of (1 + x)19 when expanded in ascending powers of x is

  • Maths-Binomial Theorem and Mathematical lnduction-11491.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11492.png

  • Maths-Binomial Theorem and Mathematical lnduction-11493.png

  • Maths-Binomial Theorem and Mathematical lnduction-11494.png

Maths-Binomial Theorem and Mathematical lnduction-11496.png

  • Maths-Binomial Theorem and Mathematical lnduction-11497.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11498.png

  • Maths-Binomial Theorem and Mathematical lnduction-11499.png

  • Maths-Binomial Theorem and Mathematical lnduction-11500.png

Maths-Binomial Theorem and Mathematical lnduction-11502.png
  • 1260
  • 126
  • 630
  • 210

Maths-Binomial Theorem and Mathematical lnduction-11504.png
  • 249
  • 501
  • 251
  • 250

Maths-Binomial Theorem and Mathematical lnduction-11506.png
  • 56
  • 57
  • 30
  • 59

Maths-Binomial Theorem and Mathematical lnduction-11508.png

  • Maths-Binomial Theorem and Mathematical lnduction-11509.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11510.png

  • Maths-Binomial Theorem and Mathematical lnduction-11511.png
  • none of these

Maths-Binomial Theorem and Mathematical lnduction-11513.png

  • Maths-Binomial Theorem and Mathematical lnduction-11514.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11515.png

  • Maths-Binomial Theorem and Mathematical lnduction-11516.png
  • none of these

Maths-Binomial Theorem and Mathematical lnduction-11518.png

  • Maths-Binomial Theorem and Mathematical lnduction-11519.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11520.png

  • Maths-Binomial Theorem and Mathematical lnduction-11521.png
  • none of these

Maths-Binomial Theorem and Mathematical lnduction-11523.png

  • Maths-Binomial Theorem and Mathematical lnduction-11524.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11525.png

  • Maths-Binomial Theorem and Mathematical lnduction-11526.png

  • Maths-Binomial Theorem and Mathematical lnduction-11527.png

Maths-Binomial Theorem and Mathematical lnduction-11529.png

  • Maths-Binomial Theorem and Mathematical lnduction-11530.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11531.png

  • Maths-Binomial Theorem and Mathematical lnduction-11532.png

  • Maths-Binomial Theorem and Mathematical lnduction-11533.png

Maths-Binomial Theorem and Mathematical lnduction-11535.png

  • Maths-Binomial Theorem and Mathematical lnduction-11536.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11537.png

  • Maths-Binomial Theorem and Mathematical lnduction-11538.png
  • none of these

Maths-Binomial Theorem and Mathematical lnduction-11540.png

  • Maths-Binomial Theorem and Mathematical lnduction-11541.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11542.png

  • Maths-Binomial Theorem and Mathematical lnduction-11543.png

  • Maths-Binomial Theorem and Mathematical lnduction-11544.png

Maths-Binomial Theorem and Mathematical lnduction-11546.png

  • Maths-Binomial Theorem and Mathematical lnduction-11547.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11548.png

  • Maths-Binomial Theorem and Mathematical lnduction-11549.png

  • Maths-Binomial Theorem and Mathematical lnduction-11550.png

Maths-Binomial Theorem and Mathematical lnduction-11552.png

  • Maths-Binomial Theorem and Mathematical lnduction-11553.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11554.png

  • Maths-Binomial Theorem and Mathematical lnduction-11555.png

  • Maths-Binomial Theorem and Mathematical lnduction-11556.png

Maths-Binomial Theorem and Mathematical lnduction-11558.png

  • Maths-Binomial Theorem and Mathematical lnduction-11559.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11560.png

  • Maths-Binomial Theorem and Mathematical lnduction-11561.png

  • Maths-Binomial Theorem and Mathematical lnduction-11562.png

Maths-Binomial Theorem and Mathematical lnduction-11564.png

  • Maths-Binomial Theorem and Mathematical lnduction-11565.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11566.png

  • Maths-Binomial Theorem and Mathematical lnduction-11567.png

  • Maths-Binomial Theorem and Mathematical lnduction-11568.png
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