SSC CGL MCQ Practice 2026

Indices and Surds Questions for SSC CGL (with Answers)

10 Indices and Surds MCQs from the Quantitative Aptitude section, with answers and short explanations.

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Q1. Find the value of (3^4 × 3^6) ÷ 3^5.

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Answer: B. 243

3^(4 + 6 − 5) = 3^5 = 243.

Indices and Surds · medium · Intermediate Practice Set 9

Q2. Find the value of (5^3 × 5^8) ÷ 5^4.

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Answer: A. 78125

5^(3 + 8 − 4) = 5^7 = 78125.

Indices and Surds · medium · Intermediate Practice Set 9

Q3. Find the value of (5^4 × 5^2) ÷ 5^2.

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Answer: D. 625

5^(4 + 2 − 2) = 5^4 = 625.

Indices and Surds · medium · Intermediate Practice Set 11

Q4. Find the value of (3^6 × 3^4) ÷ 3^4.

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Answer: A. 729

3^(6 + 4 − 4) = 3^6 = 729.

Indices and Surds · medium · Intermediate Practice Set 11

Q5. Find the value of (3^5 × 3^4) ÷ 3^3.

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Answer: A. 729

3^(5 + 4 − 3) = 3^6 = 729.

Indices and Surds · medium · Advanced Practice Set 7

Q6. Find the value of (5^8 × 5^5) ÷ 5^5.

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Answer: C. 390625

5^(8 + 5 − 5) = 5^8 = 390625.

Indices and Surds · medium · Advanced Practice Set 7

Q7. Find the value of (3^7 × 3^6) ÷ 3^3.

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Answer: C. 59049

3^(7 + 6 − 3) = 3^10 = 59049.

Indices and Surds · medium · Advanced Practice Set 8

Q8. Find the value of (3^9 × 3^6) ÷ 3^6.

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Answer: B. 19683

3^(9 + 6 − 6) = 3^9 = 19683.

Indices and Surds · medium · Advanced Practice Set 9

Q9. Find the value of (5^5 × 5^4) ÷ 5^3.

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Answer: B. 15625

5^(5 + 4 − 3) = 5^6 = 15625.

Indices and Surds · medium · Advanced Practice Set 9

Q10. Find the value of (3^8 × 3^8) ÷ 3^5.

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Answer: D. 177147

3^(8 + 8 − 5) = 3^11 = 177147.

Indices and Surds · medium · Advanced Practice Set 10

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