BITSAT Mathematics Bionomial Theorem MCQs

Refer to BITSAT Mathematics Bionomial Theorem MCQs provided below. BITSAT Full Syllabus Mathematics MCQs with answers available in Pdf for free download. The MCQ Questions for Full Syllabus Mathematics with answers have been prepared as per the latest syllabus, BITSAT books and examination 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 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. These MCQ questions with answers for Full Syllabus Mathematics will come in exams and help you to score good marks

Bionomial Theorem MCQ Questions Full Syllabus Mathematics with Answers

 

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

  • a) 2n–1
  • b) 2n+1
  • c) 2n+2
  • d) Not divisible by 2

Answer: 2n+1

 

Question: If

 BITSAT Mathematics Bionomial 1

 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 (x2 – a2)n is

  • a) A2 – B2
  • b) A2 + B2
  • c) 4AB
  • d) None of these

Answer: A2 – B2

 

Question: If the third term in the expansion of [x + xlog10 x ]5 is 106, then x may be

  • a) 1
  • b) √10
  • c) 10
  • d) 10-2 / 5

Answer: 10

 

Question: The coefficient of x4 in the expansion of (1 + x + x2 + x3)11, is

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

Answer: 990

 

Question: If T0,T1,T2....Tn represent the terms in the expansion of (x + a)n, then (T0 –T2 + T4 – .......)2+ (T1 – T3 + T5 – .....)2 =

  • a) (x2 + a2 )
  • b) (x2 + a2 )n
  • c) (x2 + a2 )1/ n
  • d) (x2 + a2 )-1/ n

Answer: (x2 + a2 )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 C0, C1, C2, .............. Cn denote the binomial coefficients in the expansion of (1 + x)n, then the value of C0 + (C0 + C1) + (C0+ C1 + C2) + .... + (C0+ C1 +.....+ Cn–1)

  • a) n.2n–1
  • b) n.2n
  • c) (n – 1).2n–1
  • d) (n – 1).2n

Answer: n.2n–1

 

Question: The coefficient of x20 in the expansion of

 BITSAT Mathematics Bionomial 2

is

  • a) 30C10
  • b) 30C25
  • c) 1
  • d) None of these

Answer: 30C25

 

Question: The term independent of x in the expansion of

 BITSAT Mathematics Bionomial 3

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 (21/3 + 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 x32 in the expansion of :

 BITSAT Mathematics Bionomial 4is

  • a) –15C3
  • b) 15C4
  • c) –15C5
  • d) 15C2

Answer: 15C4

 

Question: If in the expansion of

 BITSAT Mathematics Bionomial 5

 T3 = 7T2 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

 BITSAT Mathematics Bionomial 6

is 924 x6, then find n.

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

Answer: 12

 

Question: If the third term in the expansion of [x + xlog10 x ]5 is 106, then x may be

  • a) 1
  • b) √10
  • c) 10
  • d) 10-2 / 5

Answer: 10

 

Question:

BITSAT Mathematics Bionomial 7

is a polynomial of the order of

  • a) 5
  • b) 6
  • c) 7
  • d) 8

Answer: 7

 

Question: if 

BITSAT Mathematics Bionomial 8

 then a0 + a2 + a4 + .... + a2n equals

  • a)

    BITSAT Mathematics Bionomial 9

  • b)

    BITSAT Mathematics Bionomial 10

  • c)

    BITSAT Mathematics Bionomial 11

  • d)

    BITSAT Mathematics Bionomial 12

Answer:

BITSAT Mathematics Bionomial 9

 

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

 BITSAT Mathematics Bionomial 13

  • a) 4
  • b) 7
  • c) 8
  • d) 10

Answer: 7

 

Question: In the binomial (21/3 + 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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BITSAT MCQs Mathematics Full Syllabus Bionomial Theorem

BITSAT Full Syllabus Mathematics best textbooks have been used for writing the problems given in the above MCQs. If you have tests coming up then you should revise all concepts relating to Bionomial Theorem and then take out print of the above MCQs and attempt all problems. We have also provided a lot of other MCQs for Full Syllabus Mathematics which you can use to further make yourself better in Mathematics

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Multiple Choice Questions (MCQs) for Bionomial Theorem Full Syllabus Mathematics are objective-based questions which provide multiple answer options, and students are required to choose the correct answer from the given choices.