﻿ Engineering Entrance Exam Question and Answers | Binomial Theorem - Zigya

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# Binomial Theorem

#### Multiple Choice Questions

1.

The sum of coefficients of integral powers of x in the binomial expansion of  is

360 Views

2.

If (10)9 +2 (11)2(10)7 + .....+10 (11)9 = K(10)9, then k is equal to

• 121/10

• 441/100

• 100

• 100

192 Views

3.

A multiple choice examination has 5 questions. Each question has three alternative answers of which exactly one is correct. The probability that a student will get 4 or more correct answers just by guessing is

• 17/35

• 13/35

• 11/35

• 11/35

168 Views

4.

The term independent of  x in  is

• 4

• 120

• 18

• 18

171 Views

5.

If n is a positive integer, then  is

• an irrational number

• an odd positive integer

• an even positive integer

• an even positive integer

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6.

The coefficient of x7 in the expansion of (1 - x - x2 +x3)6 is :

• 144

• -132

• -144

• -144

174 Views

7.

The value of
(21C110C1) + (21C210C2) + (21C310C3) + (21C410C4) + .... +
(21C1010C10) is

• 220 – 210

• 221 – 211

• 221 – 210

• 221 – 210

1178 Views

8.
• Statement −1 is false, Statement −2 is true

• Statement −1 is true, Statement −2 is true, Statement −2 is a correct explanation for Statement −1

• Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

• Statement −1 is true, Statement −2 is true; Statement −2 is not a correct explanation for Statement −1.

154 Views

9.

In the binomial expansion of (a - b)n, n ≥ 5, the sum of 5th and 6th terms is zero, then
a/b equals

• 5/n −4

• 6 /n −5

• n -5 /6

• n -5 /6

159 Views

10.

The sum of the series 20C020C1 + 20C220C3 + …… - ….. + 20C10 is-

• 20C10

• 0

• 0

1417 Views