Divisibility Quick Kit: 16 MCQs with answers

678

A number is divisible by 2 if its last digit is even. Only 678 ends in 8, an even digit.

342

Sum of digits of 342 is 3+4+2=9, which is divisible by 3. Others have sums not divisible by 3.

1124

A number is divisible by 4 if its last two digits form a number divisible by 4. 24 is divisible by 4, so 1124 is.

345

A number is divisible by 5 if its last digit is 0 or 5. 345 ends in 5.

567

Sum of digits of 567 is 5+6+7=18, which is divisible by 9. Others have sums not divisible by 9.

230

A number is divisible by 10 if its last digit is 0. Only 230 ends in 0.

True

This is the standard rule for divisibility by 6.

False

Divisibility by 4 depends on the last two digits, not just the last digit.

246

A number divisible by 6 must be divisible by both 2 and 3. 246 is even and its digit sum (2+4+6=12) is divisible by 3.

1232

121

For 121, (1+1) - 2 = 0, which is divisible by 11. Others do not satisfy the alternating sum rule.

144

A number divisible by 12 must be divisible by both 3 and 4. 144 is divisible by 3 (sum=9) and by 4 (last two digits 44). Others fail at least one condition.

225

A number divisible by 15 must be divisible by both 3 and 5. 225 ends in 5 and digit sum=9, so divisible by 3. Others fail.

125

A number is divisible by 25 if its last two digits are 00, 25, 50, or 75. 125 ends with 25.

343

343 = 7 × 49, so it is divisible by 7. Others are not multiples of 7.

169

169 = 13 × 13, so it is divisible by 13. Others are not multiples of 13.