NUST NET Mathematics — Mathematical Induction and Binomial Theorem
Mathematical Induction and Binomial Theorem is part of the FSc Mathematics course that NUST NET-Engineering draws on (Mathematics is 100 of the 200 MCQs). It breaks into 3 subtopics, and we hold 92 NET-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (3)
How Mathematical Induction and Binomial Theorem is tested
Across the 8 NET-pattern papers on ParhaiKrlo, Mathematical Induction and Binomial Theorem accounts for 36 questions. It appears in all 8, about 4.5 questions a paper. The heaviest was NUST NET Past Paper 06, with 5 questions, and the most recent is NUST NET Past Paper 07, with 4.
| Paper | Questions |
|---|---|
| NUST NET Past Paper 07 | 4 |
| NUST NET Past Paper 08 | 4 |
| NUST NET Past Paper 05 | 4 |
| NUST NET Past Paper 06 | 5 |
| NUST NET Past Paper 03 | 5 |
| NUST NET Past Paper 04 | 4 |
| NUST NET Past Paper 01 | 5 |
| NUST NET Past Paper 02 | 5 |
Mathematical Induction and Binomial Theorem MCQs from the NET-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · NUST NET Past Paper 07 · Mathematical Induction and Binomial Theorem
The number of terms in the expansion of (a + b)ⁿ, where n is a positive integer, is:
- A.n
- B.n + 1
- C.n − 1
- D.2n
Show answer
Answer: B. n + 1 — (a + b)ⁿ has n + 1 terms.
- Q2 · NUST NET Past Paper 08 · Mathematical Induction and Binomial Theorem
The middle term in the expansion of (a + b)⁶ is the:
- A.3rd term
- B.4th term
- C.6th term
- D.7th term
Show answer
Answer: B. 4th term — (a + b)⁶ has 7 terms, so the middle one is the 4th.
- Q3 · NUST NET Past Paper 05 · Mathematical Induction and Binomial Theorem
In every term of the expansion of (a + b)ⁿ, the powers of a and b add up to:
- A.n + 1
- B.2n
- C.0
- D.n
Show answer
Answer: D. n — In each term aⁿ⁻ʳbʳ the powers add to n.