NTS 2026 NAT ICS Test Maths Mathematical Induction and Binomial Theorem Free Quiz 1

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NTS 2026 NAT ICS Test Maths Mathematical Induction and Binomial Theorem Free Quiz 1

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NTS 2026 NAT ICS Test Maths Mathematical Induction and Binomial Theorem Free Quiz 1

Practice NTS 2026 NAT ICS Mathematical Induction and Binomial Theorem MCQs. Get instant results with Explanation.

Practice Quiz 1 for "Mathematical Induction and Binomial Theorem" (Maths). Total 25 MCQs available, split into 3 quizzes. Start with the fundamentals and build a strong base. Mastering these concepts is essential for securing a high percentile in NTS.

General10 MCQs

1. What does mathematical induction prove statements for?

A. All positive integersB. All real numbersC. All complex numbersD. All rational numbers

2. What are the two steps of mathematical induction?

A. Only base caseB. Base case and inductive stepC. Only inductive stepD. Conclusion

3. What is the sum of first n natural numbers?

A. k(k+1)/2B. (k+1)(k+2)/2C. (k+1)(k+2)/2D. k(k+1)(k+2)/6

4. What is the sum of squares of first n natural numbers?

A. n(n+1)/2B. n(n+1)(2n+1)/6C. [n(n+1)/2]²D. n(n+1)(2n+1)/6

5. What is the sum of cubes of first n natural numbers?

A. [n(n+1)/2]²B. n(n+1)/2C. n(n+1)(2n+1)/6D. n²(n+1)²/4

General10 MCQs

6. What is the inductive step in mathematical induction?

A. Prove for n = 1B. Assume for n = k, prove for n = k+1C. Assume for n = k+1D. Conclude the statement

7. What is the binomial theorem?

A. Σ (ⁿCᵣ) aⁿ⁻ʳ bʳB. Σ (ⁿPᵣ) aⁿ⁻ʳ bʳC. Σ (ⁿCᵣ) aʳ bⁿ⁻ʳD. Σ (ⁿPᵣ) aʳ bⁿ⁻ʳ

8. How many terms are in the expansion of (a + b)ⁿ?

A. nB. n + 1C. 2nD. n²

9. What is the general term in (a + b)ⁿ?

A. Tᵣ = ⁿCᵣ aⁿ⁻ʳ bʳB. Tᵣ₊₁ = ⁿPᵣ aⁿ⁻ʳ bʳC. Tᵣ₊₁ = ⁿCᵣ aⁿ⁻ʳ bʳD. Tᵣ₊₁ = ⁿCᵣ aʳ bⁿ⁻ʳ

10. What is the coefficient of x² in (1 + x)⁴?

A. 4B. 8C. 6D. 6

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