JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 6 - MCQExams.com


Maths-Binomial Theorem and Mathematical lnduction-11570.png
  • –2
  • –1
  • 0
  • 1

Maths-Binomial Theorem and Mathematical lnduction-11571.png

  • Maths-Binomial Theorem and Mathematical lnduction-11572.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11573.png

  • Maths-Binomial Theorem and Mathematical lnduction-11574.png

  • Maths-Binomial Theorem and Mathematical lnduction-11575.png
In the expansion of (x – y)10, (co efficient of x7 y3) – (co-efficient of x3 y7) =_____
  • 10 C7
  • 2. 10 C7
  • 10 C7 + 10 C1
  • 0

Maths-Binomial Theorem and Mathematical lnduction-11576.png
  • 1
  • 2
  • 3
  • 4

Maths-Binomial Theorem and Mathematical lnduction-11578.png
  • 2
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11579.png

  • Maths-Binomial Theorem and Mathematical lnduction-11580.png
  • 10
If p and Q are coefficients of xn in expansion of (1 + x)2n and (1 + x)2n-1 then_____
  • P = Q
  • P = 2Q
  • 2P = Q
  • P + Q = 0

Maths-Binomial Theorem and Mathematical lnduction-11583.png
  • –1
  • 0
  • 1
  • 2

Maths-Binomial Theorem and Mathematical lnduction-11585.png

  • Maths-Binomial Theorem and Mathematical lnduction-11586.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11587.png

  • Maths-Binomial Theorem and Mathematical lnduction-11588.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11589.png
  • (45, 35)
  • (35, 20)
  • (35, 45)
  • (20, 45)

Maths-Binomial Theorem and Mathematical lnduction-11591.png
  • 5
  • 6
  • 7
  • 8

Maths-Binomial Theorem and Mathematical lnduction-11593.png
  • 5
  • 6
  • 7
  • 8
The co-efficient of middle term in expansion of (2x - 3y)4 is....................
  • –96
  • 216
  • –216
  • 96

Maths-Binomial Theorem and Mathematical lnduction-11594.png
  • 5
  • –5
  • 4
  • –4

Maths-Binomial Theorem and Mathematical lnduction-11596.png

  • Maths-Binomial Theorem and Mathematical lnduction-11597.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11598.png

  • Maths-Binomial Theorem and Mathematical lnduction-11599.png

  • Maths-Binomial Theorem and Mathematical lnduction-11600.png
If sum of Even terms are denoted by E and sum of odd terms are denoted by O in expansion of (x + a)n then O2 – E2 =_______
  • x2 – a2
  • (x2 – a2)n
  • x2n – a2n
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11602.png
  • 4n
  • 5n
  • 4–n
  • 5–n
(10.1)5 =
  • 105101.501
  • 105101.0501
  • 105101.00501
  • 105101.05001
If a, b ϵ N, a ≠ b then for r ϵ N, an -bn is divisible by ________
  • a – b
  • b –a
  • both (a) and (b)
  • None of these
(1.1)10000 ______1000
  • >
  • <
  • =
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11605.png

  • Maths-Binomial Theorem and Mathematical lnduction-11606.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11607.png

  • Maths-Binomial Theorem and Mathematical lnduction-11608.png

  • Maths-Binomial Theorem and Mathematical lnduction-11609.png

Maths-Binomial Theorem and Mathematical lnduction-11610.png

  • Maths-Binomial Theorem and Mathematical lnduction-11611.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11612.png

  • Maths-Binomial Theorem and Mathematical lnduction-11613.png

  • Maths-Binomial Theorem and Mathematical lnduction-11614.png

Maths-Binomial Theorem and Mathematical lnduction-11615.png
  • 10
  • 100
  • 1000
  • None

Maths-Binomial Theorem and Mathematical lnduction-11617.png
  • 1
  • 2
  • 3
  • 0

Maths-Binomial Theorem and Mathematical lnduction-11619.png
  • 10
  • 11
  • 12
  • 13
Co-efficient of x5 in expansion of (1 + 2x)6 (1 - x)7 is
  • 150
  • 171
  • 192
  • 161

Maths-Binomial Theorem and Mathematical lnduction-11621.png
  • 190
  • 200
  • 210
  • 220
If the ratio of co-efficients of three consecutive terms in expansion of (1 + x)n is 1 : 7 : 42 then n = ______
  • 35
  • 45
  • 55
  • 65

Maths-Binomial Theorem and Mathematical lnduction-11623.png

  • Maths-Binomial Theorem and Mathematical lnduction-11624.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11625.png

  • Maths-Binomial Theorem and Mathematical lnduction-11626.png

  • Maths-Binomial Theorem and Mathematical lnduction-11627.png
When 520 is divided by 48 then remainder is______
  • 46
  • 47
  • 48
  • 49
The remainder when 23n -7n + 4 is divided by 49 is
  • 0
  • 1
  • 4
  • 5
The least positive remainder when 1730 is divided by 5 is
  • 2
  • 4
  • 3
  • 1

Maths-Binomial Theorem and Mathematical lnduction-11629.png
  • 0
  • –1
  • n
  • 1

Maths-Binomial Theorem and Mathematical lnduction-11630.png
  • 512
  • 1024
  • 2048
  • 1023

Maths-Binomial Theorem and Mathematical lnduction-11631.png

  • Maths-Binomial Theorem and Mathematical lnduction-11632.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11633.png

  • Maths-Binomial Theorem and Mathematical lnduction-11634.png

  • Maths-Binomial Theorem and Mathematical lnduction-11635.png

Maths-Binomial Theorem and Mathematical lnduction-11636.png
  • 1
  • –1
  • 2
  • –2

Maths-Binomial Theorem and Mathematical lnduction-11638.png

  • Maths-Binomial Theorem and Mathematical lnduction-11639.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11640.png

  • Maths-Binomial Theorem and Mathematical lnduction-11641.png

  • Maths-Binomial Theorem and Mathematical lnduction-11642.png
Sum of Co-efficient of last 15 terms in expansion of (1 + x)29 is
  • 215
  • 230
  • 229
  • 228
Remainder when 22000 is divided by 17 is...
  • 1
  • 2
  • 8
  • 12

Maths-Binomial Theorem and Mathematical lnduction-11645.png

  • Maths-Binomial Theorem and Mathematical lnduction-11646.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11647.png

  • Maths-Binomial Theorem and Mathematical lnduction-11648.png

  • Maths-Binomial Theorem and Mathematical lnduction-11649.png
The interval in which x ( > 0 ) must lie so that the greatest term in the expansion of (1 + x)2n has the greatest coefficient is

  • Maths-Binomial Theorem and Mathematical lnduction-11650.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11651.png

  • Maths-Binomial Theorem and Mathematical lnduction-11652.png
  • None of these

Maths-Binomial Theorem and Mathematical lnduction-11654.png

  • Maths-Binomial Theorem and Mathematical lnduction-11655.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11656.png

  • Maths-Binomial Theorem and Mathematical lnduction-11657.png

  • Maths-Binomial Theorem and Mathematical lnduction-11658.png
Let x > –1 then statement (1+x)n > 1+nx is true for
  • ∀ n ϵ N
  • ∀ n > 1
  • ∀ n > 1 and x ≠ 0
  • ∀ n ϵ R

Maths-Binomial Theorem and Mathematical lnduction-11659.png
  • 3
  • 6
  • 2
  • 12

Maths-Binomial Theorem and Mathematical lnduction-11661.png

  • Maths-Binomial Theorem and Mathematical lnduction-11662.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11663.png

  • Maths-Binomial Theorem and Mathematical lnduction-11664.png

  • Maths-Binomial Theorem and Mathematical lnduction-11665.png
Co-efficient of x4 in expansion of (1 + x + x2 + x3)11 is _______
  • 330
  • 990
  • 1040
  • 900
The sum of coefficient of middle terms in expansion of (1 + x)2n-1 is_______

  • Maths-Binomial Theorem and Mathematical lnduction-11668.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11669.png

  • Maths-Binomial Theorem and Mathematical lnduction-11670.png

  • Maths-Binomial Theorem and Mathematical lnduction-11671.png
Remainder when 82n - 622n+1 is divided by 9 is ________
  • 0
  • 2
  • 7
  • 8

Maths-Binomial Theorem and Mathematical lnduction-11674.png
  • 22
  • 12
  • 11
  • 7

Maths-Binomial Theorem and Mathematical lnduction-11676.png

  • Maths-Binomial Theorem and Mathematical lnduction-11677.png
  • 2)
    Maths-Binomial Theorem and Mathematical lnduction-11678.png

  • Maths-Binomial Theorem and Mathematical lnduction-11679.png

  • Maths-Binomial Theorem and Mathematical lnduction-11680.png
It A and B are coefficients of xr and xn-r respectively in expansion of (1 + x)n then =_____
  • A + B = n
  • A = B
  • A + B = 2n
  • A - B = 2n
0:0:1


Answered Not Answered Not Visited Correct : 0 Incorrect : 0

Practice Maths Quiz Questions and Answers