Question

This question is based on the five, three-digit numbers given below: (Left) 158 438 182 325 230 (Right) If 5 is added to the first digit of every number, in how many numbers will the first digit be exactly divisible by the second digit?

• A. 2
• B. 4
• C. 3
• D. 1

Answer 1

Answer:

A. 2

When 5 is added to the first digit of each number, the new numbers change as follows:

• 158 becomes 658: The first digit (6) is not exactly divisible by the second digit (5).

• 438 becomes 938: The first digit (9) is exactly divisible by the second digit (3) because $9 \div 3 = 3$.

• 182 becomes 682: The first digit (6) is not exactly divisible by the second digit (8).

• 325 becomes 825: The first digit (8) is exactly divisible by the second digit (2) because $8 \div 2 = 4$.

• 230 becomes 730: The first digit (7) is not exactly divisible by the second digit (3).

There are 2 numbers (438 and 325) that satisfy the condition.