COMSATS Mathematics — Binomial Theorem
Binomial Theorem is part of the Mathematics section of the NTS NAT-IE test COMSATS admits on (10 of the 90 MCQs). It breaks into 1 subtopic, and we hold 17 NAT-pattern practice MCQs on it, each with a written explanation. Tap a subtopic below to practise just that.
Subtopics (1)
How Binomial Theorem is tested
Across the 7 NAT-pattern papers on ParhaiKrlo, Binomial Theorem accounts for 3 questions. It appears in 3 of them, about 1 questions a paper. The heaviest was COMSATS Past Paper 06, with 1 question.
| Paper | Questions |
|---|---|
| COMSATS Past Paper 06 | 1 |
| COMSATS Past Paper 04 | 1 |
| COMSATS Past Paper 02 | 1 |
Binomial Theorem MCQs from the NAT-pattern papers
Try each one before opening the answer. Each comes with a short explanation.
- Q1 · COMSATS Past Paper 06 · Binomial Theorem
The sum of the binomial coefficients in the expansion of (1 + x)⁵ is:
- A.32
- B.10
- C.25
- D.5
Show answer
Answer: A. 32 — Put x = 1: (1 + 1)⁵ = 2⁵ = 32.
- Q2 · COMSATS Past Paper 04 · Binomial Theorem
The middle term in the expansion of (a + b)⁴ is:
- A.6a²b²
- B.a²b²
- C.4a²b²
- D.4a³b
Show answer
Answer: A. 6a²b² — (a + b)⁴ has 5 terms; the 3rd is ⁴C₂ a²b² = 6a²b².
- Q3 · COMSATS Past Paper 02 · Binomial Theorem
The number of terms in the expansion of (a + b)⁷ is:
- A.7
- B.9
- C.8
- D.14
Show answer
Answer: C. 8 — (a + b)ⁿ has n + 1 terms, so 7 + 1 = 8.