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Number System
Divisibility Rules
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NTPC Graduate Tier 1 2025 Shift-3 📅 06 Jun, 2025

Which of the following numbers is divisible by 71?

A
5609
B
6121
C
6010
D
5603
Result Summary
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NTPC Graduate Tier 1
2025 • 06 Jun, 2025 • Shift-3
Which of the following numbers is divisible by 71?
Correct Answer
5609
Divisibility Test Approach: To check for divisibility by 71, we can either perform direct long division on each option or use a divisibility rule specific to 71......
Ref/Book : NTPC Graduate Tier 1 2025
Ref. Subject Number System
Chapter -
Ref. Topic Divisibility Rules
Pg. No -
💡 Analysis & Explanation
Divisibility Test Approach ▼
To check for divisibility by 71, we can either perform direct long division on each option or use a divisibility rule specific to 71. The rule involves taking the last digit, multiplying it by 7, and subtracting it from the rest of the number. The resulting number must be a multiple of 71.
Testing Option 1 (5609) ▼
5609 -> $560 - (9 \times 7) = 560 - 63 = 497$. Let's test 497: $49 - (7 \times 7) = 49 - 49 = 0$. Since 0 is divisible by 71, 5609 is divisible by 71.
Conclusion ▼
Directly applying the divisibility rule or through direct division, 5609 is the only option perfectly divisible by 71.
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