(i) 67920598
(ii) 618703592
(iii) 618703594
(iv) 67920590
Divisibility Rule for 4 Explained
To determine if a number is divisible by 4, we only need to look at the number formed by its last two digits. If this two-digit number is divisible by 4, then the entire original number is divisible by 4.
Analyzing the Numbers
Let's apply this rule to each of the given numbers:
| Number | Last Two Digits | Check: Last Two Digits $\div$ 4 | Divisible by 4? |
|---|---|---|---|
| 67920598 | 98 | $98 \div 4 = 24$ remainder 2 | No |
| 618703592 | 92 | $92 \div 4 = 23$ | Yes |
| 618703594 | 94 | $94 \div 4 = 23$ remainder 2 | No |
| 67920590 | 90 | $90 \div 4 = 22$ remainder 2 | No |
Conclusion
Based on the divisibility rule for 4:
- The number 67920598 is not divisible by 4 because 98 is not divisible by 4.
- The number 618703592 is divisible by 4 because the last two digits, 92, form a number that is divisible by 4 ($92 = 4 \times 23$).
- The number 618703594 is not divisible by 4 because 94 is not divisible by 4.
- The number 67920590 is not divisible by 4 because 90 is not divisible by 4.
Therefore, the only number among the options that is divisible by 4 is 618703592.
Similar Questions
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Important Questions from Divisibility and Remainder
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The greatest number that on dividing 2675 and 2320 leaves the reminder 5 and 6 ,respectively is :
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If a 10 - digit number 643x1145y2 is divisible by 88, then the value of (2x - 3y) for the largest value of y is :
