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