Refer to BITSAT Mathematics Bionomial Theorem MCQs provided below. BITSAT Full Syllabus Mathematics MCQ questions with answers are available for download in Pdf. The MCQ Questions for Full Syllabus Mathematics with answers are aligned as per the latest syllabus and exam pattern suggested in Full Syllabus by BITSAT, NCERT and KVS. Multiple Choice Questions for Bionomial Theorem are an important part of exams for Full Syllabus Mathematics and if practiced properly can help you to improve your understanding of Bionomial Theorem and get higher marks. Refer to more Chapter-wise MCQs for BITSAT Full Syllabus Mathematics and also download more latest study material for all subjects

## MCQ for Full Syllabus Mathematics Bionomial Theorem

Full Syllabus Mathematics students should refer to the following multiple-choice questions with answers for Bionomial Theorem in Full Syllabus.

### Bionomial Theorem MCQ Questions Full Syllabus Mathematics with Answers

#### Question: The integer just greater than (3+ √5)^{2n} is divisible by (n € N)

- a) 2
^{n–1} - b) 2
^{n+1} - c) 2
^{n+2} - d) Not divisible by 2

**Answer: ****2 ^{n+1}**

#### Question: If

#### then n =

- a) 8
- b) 4
- c) 6
- d) 5

**Answer: 5**

#### Question: If the sum of odd numbered terms and the sum of even numbered terms in the expansion of (x +a)n are A and B respectively, then the value of (x^{2} – a^{2})^{n} is

- a) A
^{2}– B^{2} - b) A
^{2}+ B^{2} - c) 4AB
- d) None of these

**Answer: ****A ^{2} – B^{2}**

#### Question: If the third term in the expansion of [x + x^{log10 x} ]^{5} is 10^{6}, then x may be

- a) 1
- b) √10
- c) 10
- d) 10
^{-2 / 5}

**Answer: ****10**

#### Question: The coefficient of x^{4} in the expansion of (1 + x + x^{2} + x^{3})^{11}, is

- a) 440
- b) 770
- c) 990
- d) 1001

**Answer: ****990**

#### Question: If T_{0},T_{1},T_{2}....T_{n} represent the terms in the expansion of (x + a)^{n}, then (T_{0} –T_{2} + T_{4} – .......)^{2}+ (T_{1} – T_{3} + T_{5} – .....)^{2} =

- a) (x
^{2}+ a^{2}) - b) (x
^{2}+ a^{2})^{n} - c) (x
^{2}+ a^{2})^{1/ n} - d) (x
^{2}+ a^{2})^{-1/ n}

**Answer: ****(x ^{2} + a^{2} )^{n}**

#### Question: The coefficient of the middle term in the expansion of(2 + 3x)^{4} is :

- a) 6
- b) 5!
- c) 8!
- d) 216

**Answer: ****216**

#### Question: If C_{0}, C_{1}, C_{2}, .............. C_{n} denote the binomial coefficients in the expansion of (1 + x)^{n}, then the value of C_{0} + (C_{0} + C_{1}) + (C_{0}+ C_{1} + C_{2}) + .... + (C_{0}+ C_{1} +.....+ C_{n–1})

- a) n.2
^{n–1} - b) n.2
^{n} - c) (n – 1).2
^{n–1} - d) (n – 1).2
^{n}

**Answer: ****n.2 ^{n–1}**

#### Question: The coefficient of x^{20} in the expansion of

#### is

- a)
^{30}C_{10} - b)
^{30}C_{25} - c) 1
- d) None of these

**Answer: **^{30}C_{25}

#### Question: The term independent of x in the expansion of

#### is a times the corresponding binomial coefficient. Then a is

- a) 3
- b) 1/3
- c) –1/3
- d) None of these

**Answer: None of these**

#### Question: In the binomial (2^{1/3} + 3^{-1/3})^{n}, if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n equal to

- a) 6
- b) 9
- c) 12
- d) 15

**Answer: ****9**

#### Question: The coefficient of x^{32} in the expansion of :

#### is

- a)
^{–15}C_{3} - b)
^{15}C_{4} - c)
^{–15}C_{5} - d)
^{15}C_{2}

**Answer: **^{15}C_{4}

#### Question: If in the expansion of

#### T_{3} = 7T_{2} and sum of the binomial coefficients of second and third terms is 36, then the value of x is –

- a) –1/3
- b) – 1/2
- c) 1/3
- d) 1/2

**Answer: ****–1/3**

#### Question: If the second, third and fourth terms in the expansion of (a + b)^{n} are 135, 30 and 10/3 respectively, then find the value of n.

- a) 3
- b) 4
- c) 5
- d) 6

**Answer: ****5**

#### Question: If the middle term in the expansion of

#### is 924 x^{6}, then find n.

- a) 58
- b) 18
- c) 12
- d) 20

**Answer: ****12**

#### Question: If the third term in the expansion of [x + x^{log10 x} ]^{5} is 10^{6}, then x may be

- a) 1
- b) √10
- c) 10
- d) 10
^{-2 / 5}

**Answer: ****10**

#### Question:

**is a polynomial of the order of**

- a) 5
- b) 6
- c) 7
- d) 8

**Answer: ****7**

#### Question: if

#### then a_{0} + a_{2} + a_{4} + .... + a_{2n }equals

- a)
- b)
- c)
- d)

**Answer:**

#### Question: Find the term independent of x in the expansion of

- a) 4
- b) 7
- c) 8
- d) 10

**Answer: ****7**

#### Question: In the binomial (2^{1/3} + 3^{-1/3})^{n}, if the ratio of the seventh term from the beginning of the expansion to the seventh term from its end is 1/6 , then n equal to

- a) 6
- b) 9
- c) 12
- d) 15

**Answer: ****9**

## More Study Material

### BITSAT Full Syllabus Mathematics Bionomial Theorem MCQs

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### MCQs for Mathematics BITSAT Full Syllabus Bionomial Theorem

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**Bionomial Theorem MCQs Mathematics BITSAT Full Syllabus**

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**BITSAT MCQs Mathematics Full Syllabus Bionomial Theorem**

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