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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
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
is
- a) 30C10
- b) 30C25
- c) 1
- d) None of these
Answer: 30C25
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 (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 :
is
- a) –15C3
- b) 15C4
- c) –15C5
- d) 15C2
Answer: 15C4
Question: If in the expansion of
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
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:
is a polynomial of the order of
- a) 5
- b) 6
- c) 7
- d) 8
Answer: 7
Question: if
then a0 + a2 + a4 + .... + a2n 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 (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