Practice MCQs for BITSAT Mathematics Bionomial Theorem
Access targeted multiple-choice questions for Bionomial Theorem designed to align with the latest BITSAT academic syllabus for BITSAT Mathematics. These objective practice sets help students evaluate their conceptual understanding and improve exam readiness.
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View or download the dedicated Bionomial Theorem MCQ resource below. Practicing these 50 objective questions regularly builds familiarity with standard exam patterns and helps secure higher marks in final Mathematics evaluations.
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
Free study material for Mathematics
Download Chapter MCQs: BITSAT Mathematics Bionomial Theorem
Download Multiple Choice Questions: Bionomial Theorem (BITSAT Mathematics)
Test your conceptual understanding of Bionomial Theorem with these targeted multiple-choice questions. Designed in alignment with the latest BITSAT curriculum for BITSAT Mathematics, these problem sets build accuracy and prepare students for objective exams.
Concept Clarification for Bionomial Theorem
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FAQs
You can get most exhaustive BITSAT Mathematics Bionomial Theorem MCQs for free on StudiesToday.com. These MCQs for BITSAT Mathematics are updated for the 2026-27 academic session as per BITSAT examination standards.
Yes, our BITSAT Mathematics Bionomial Theorem MCQs include the latest type of questions, such as Assertion-Reasoning and Case-based MCQs. 50% of the BITSAT paper is now competency-based.
By solving our BITSAT Mathematics Bionomial Theorem MCQs, BITSAT students can improve their accuracy and speed which is important as objective questions provide a chance to secure 100% marks in the Mathematics.
Yes, Mathematics MCQs for BITSAT have answer key and brief explanations to help students understand logic behind the correct option as its important for 2026 competency-focused BITSAT exams.
Yes, you can also access online interactive tests for BITSAT Mathematics Bionomial Theorem MCQs on StudiesToday.com as they provide instant answers and score to help you track your progress in Mathematics.