Question
The number 576499 is divisible by which of the following?
This question was previously asked in
RRB NTPC 2024 CBT 1 Question Paper (28-Aug-2025) (Shift 3)
The correct answer is
7
Solution
To find which number divides 576499, we will test the divisibility of 576499 by each of the given options: 15, 6, 7, and 16.
Divisibility Checks
-
Check for 15: A number is divisible by 15 if it is divisible by both 3 and 5.
- Divisibility by 5: The number must end in 0 or 5. Since 576499 ends in 9, it is not divisible by 5.
- Conclusion: 576499 is not divisible by 15.
-
Check for 6: A number is divisible by 6 if it is divisible by both 2 and 3.
- Divisibility by 2: The number must be even. Since 576499 is an odd number, it is not divisible by 2.
- Conclusion: 576499 is not divisible by 6.
-
Check for 7: We perform the division.
- Calculation:
$576499 \div 7 = 82357$
The division results in a whole number. - Conclusion: 576499 is divisible by 7.
- Calculation:
-
Check for 16: A number is divisible by 16 if the number formed by its last four digits is divisible by 16.
- The last four digits of 576499 form the number 6499.
- Calculation:
$6499 \div 16 = 406.1875$
The result is not a whole number. - Conclusion: 576499 is not divisible by 16.
Final Answer
The only option that correctly divides 576499 is 7.
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