(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
- Find the largest number which should replace P in the 7- digit number 87893P4 to make the number divisible by 4.
- Find the smallest non-zero value of k so that 7-digit number 48397k5 is divisible by 9.
- If a number is divisible by both 11 and 13, then it must be:
- If a 9-digit number 937X728Y6 is divisible by 72, then one of the possible values of X + Y is:
- Find the nearest integer to 5347 which is exactly divisible by 137.
- What is the least value of k, so that 23k57 is divisible by 3?
- In a division sum, the divisor is 10 times the quotient and 5 times the remainder. If the remainder is 12, then what is the dividend?
- Which of the following numbers will completely divide $4^{12} + 4^{13} + 4^{14} + 4^{15}$?
- The number 7918378 is divisible by:
- What least number must be subtracted from 2001 to get a number exactly divisible by 17?
Important Questions from Divisibility and Remainder
If all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?
If 3 2019 is divided by 10, then what is the remainder?
The number 3798125P369 is divisible by 7. What is the value of the digit P?
Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?
1. S is always divisible by 74.
2. S is always divisible by 9.
select the correct answer using the code given below:
How many 3-digit natural numbers (without repetition of digits) are there such that each digit is odd and the number is divisible by 5?
