Apedia Logo Apedia
Join

Choose Language

Select your preferred reading language
🇬🇧
English
✔
🇮🇳
हिन्दी
✔
✕
Full View
Number System
Divisibility Rules
EN हिंदी
✕
RRB NTPC Graduate Tier 1 2016 Shift 2 📅 02 Apr, 2016

If R019 is divisible by 11, find the value of the smallest natural number R?

A
5
B
6
C
7
D
8
Result Summary
Logo

APEDIA

RRB NTPC Graduate Tier 1
2016 • 02 Apr, 2016 • Shift 2
If R019 is divisible by 11, find the value of the smallest natural number R?
Correct Answer
8
Divisibility Rule Application: A number is completely divisible by 11 if the strict difference between the sum of its digits in odd positions and the sum of its......
Ref/Book : RRB NTPC Graduate Tier 1 2016
Ref. Subject Number System
Chapter -
Ref. Topic Divisibility Rules
Pg. No -
💡 Analysis & Explanation
Divisibility Rule Application ▼
A number is completely divisible by 11 if the strict difference between the sum of its digits in odd positions and the sum of its digits in even positions is either 0 or a multiple of 11.
Summation of Positions ▼
For the four-digit number R019, the sum of the digits in odd places (starting from the left) is R + 1. The sum of the digits in even places is 0 + 9 = 9.
Difference Calculation ▼
The calculated difference is (R + 1) - 9 = R - 8. For this resultant value to equal 0 (which satisfies the divisibility condition), R must necessarily be 8.
Conclusion ▼
The smallest natural single-digit number that completely fulfills this specific condition is 8.
← Prev
87 / 100
Next →