**MCQs Questions for Class 11 Maths Chapter 8 Binomial Theorem**

In this 21^{st} century, Multiple Choice Questions (MCQs) play a vital role to prepare for a competitive examination. CBSE board has also brought a major change in its board exam patterns. Now-a-days, a total of 10 MCQs questions are asked in the class 10 board examination.

In most of the competitive examinations, only MCQ questions are asked. So, for getting ready for the competitive examinations, we have to practice for MCQs questions to solve. It strengthens the critical thinking and problem solving skills.

In future, if you want to prepare for competitive examination and to crack it, then you should more focus on the MCQ questions. Thus, from the board examinations point of view and competitive examinations point of view, you should practice more on multiple choice questions.

Thus, let’s solve these MCQs Questions to make our foundation very strong.

**MCQs Questions for Class 11
Maths Chapter 8 Binomial Theorem**

**1.** The coefficient of y in the
expansion of (y² + c/y)^{5} is

(a) 10c

(b) 10c^{3}

(c) 10c^{2}

(d) None of these

**Answer: b**

**2. **What is the general term of
(x – y)^{xy}?

(a) ^{x – y}C_{r} (x^{xy – r} . y^{r})

(b) ^{xy}C_{r} (x^{x – y – r} .
-y^{r})

(c) ^{xy}C_{r} (x^{xy – r} . -y^{r})

(d) ^{x – y}C_{r} (x^{x – y – r} . y^{r})

**Answer: c**

**3. **The fourth term in the expansion of (x – 2y)^{12} is

(a) -1670 x^{9} × y³

(b) -7160 x^{9} × y³

(c) -1760 x^{9} × y³

(d) -1607 x^{9} × y³

**Answer: c**

**4. **What is the value of n, if the coefficient of the second term
of (x – y)^{3} is equal to the third term of the expansion (x
+ y)^{n}?

(a) –2

(b) 3

(c) 4

(d) 5

**Answer: b**

**5. **If the third term in the binomial expansion of (1 + x)^{m} is
(-1/8)x², then the rational value of m is

(a) 2

(b) 1/2

(c) 3

(d) 4

**Answer: b**

**6. **Which term will be the middle term of (xyz – x)^{2n}?

(a) (n + 1)^{th} term

(b) (n + 2)^{th} term

(c) n^{th} term

(d) (n – 1)^{th} term

**Answer: a**

**7. **The coefficient of x^{n} in the expansion of (1
– 2x + 3x² – 4x³ + ……..)^{-n} is

(a) (2n)!/n!

(b) (2n)!/(n!)²

(c) (2n)!/{2 × (n!)²}

(d) None of these

**Answer: b**

**8. **What is the middle term in the expansion of (4 + 2x)^{6}?

(a) 11240 x^{2}

(b) 10240 x^{3}

(c) 12240 x^{4}

(d) 10340 x^{4}

**Answer: b**

**9. **The value of n in the expansion of (a + b)^{n} if
the first three terms of the expansion are 729, 7290 and 30375, respectively,
is

(a) 2

(b) 4

(c) 6

(d) 8

**Answer: c**

**10. **What is the even value of n, if the middle term of (a + b)^{2n – 3} is 11?

(a) 12

(b) 10

(c) 20

(d) 22

**Answer: a**

**11. **In the expansion of (a + b)^{n}, if n is even, then
the middle term is

(a) (n/2 + 1)^{th} term

(b) (n/2)^{th} term

(c) n^{th} term

(d) (n/2 – 1)^{th} term

**Answer: a**

**12.** If the general term of an expansion is ^{91}C_{2} x^{89}, then what is the expansion?

(a) (x)^{91}

(b) (x – 2)^{90}

(c) (x – 1)^{91}

(d) (x + 1)^{9}** **

**Answer: c**

**13. **If n is a positive integer, then 2^{3n}n – 7n – 1 is
divisible by

(a) 7

(b) 9

(c) 49

(d) 81

**Answer: c**

**14. **What is the coefficient of the middle term of (z + y)^{3x}, if 3x is considered to be even and the middle
term is the 4^{th} term?

(a) ^{7}C_{3}

(b) ^{6}C_{2}

(c) ^{6}C_{3}

(d) ^{7}C_{2}

**Answer: a**

**15. **The number of ordered triplets of positive integers which are
solution of the equation x + y + z = 100 is

(a) 4815

(b) 4851

(c) 8451

(d) 8415

**Answer: b**