BITSAT Mathematics Bionomial Theorem MCQs

BITSAT Mathematics Bionomial Theorem MCQs with answers available in Pdf for free download. The MCQ Questions for BITSAT Mathematics with answers have been prepared as per the latest BITSAT Mathematics syllabus, books and examination pattern. Multiple Choice Questions form important part of competitive exams and BITSAT exam and if practiced properly can help you to get higher rank. Refer to more topic wise BITSAT Mathematics Questions and also download more latest study material for all subjects and do free BITSAT Mathematics Mock Test

MCQ for BITSAT Mathematics Bionomial Theorem

BITSAT Mathematics students should refer to the following multiple-choice questions with answers for Bionomial Theorem in BITSAT. These MCQ questions with answers for BITSAT Mathematics will come in exams and help you to score good marks

Bionomial Theorem MCQ Questions 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

 

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