UPSC CSE Prelims
Powers & Indices Previous Year Questions (PYQs)
Practice solved questions for Powers & Indices with detailed step-by-step solutions, key insights, and trend analysis for UPSC CSE PRELIMS.
Solved Previous Year Questions
Filter & practice questions topic-wise
How many three-digit numbers can be expressed as an integral power of $2$?
Detailed Explanation:
Three-digit numbers range from 100 to 999. We need to find integral powers of 2 in this range.
Calculate: 2⁷ = 128, 2⁸ = 256, 2⁹ = 512 (all three-digit). 2⁶ = 64 (two-digit) and 2¹⁰ = 1024 (four-digit) fall outside the range.
Therefore, exactly 3 three-digit numbers (128, 256, 512) are integral powers of 2, making Option 3 the correct answer.
🧐 Not Sure What to Study Next?
Get a personalised study plan based on your goals, time and revision needs.
Related Topics in CSAT (Civil Services Aptitude Test)
Frequently Asked Questions
Common questions about Powers & Indices in UPSC CSE PRELIMS