Consider the following statements:
I. 7425 is divisible by both 9 and 5.
II. 3512 is divisible by 8.
Which of the above statements is/are correct?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → Both I and II
A number is divisible by 9 if its digit sum is divisible by 9, by 5 if it ends in 0 or 5, and by 8 if the number formed by its last three digits is divisible by 8.
I. 7425 is divisible by both 9 and 5. — Correct. It passes both tests.
Digit sum \(=7+4+2+5=18\), which is divisible by 9
The last digit is 5, so it is divisible by 5
Check: \(7425=9\times825=5\times1485\)
II. 3512 is divisible by 8. — Correct. Its last three digits form 512, a multiple of 8.
\(512=8\times64\)
Check: \(3512=8\times439\)