Abdullah needs to take a bus to Lahore, which leaves once an hour from his hometown. Nobody in his family knows at exactly how many minutes past the hour the bus is scheduled to depart.Aisha is sure that the number is such that, if it were divided by 3. the remainder would be 2. Sharif is certain that the number is such that, divided by 4, there would be a remainder of 3. Abdullah's father has no doubt that the number of minutes is a multiple of 5.Assuming that they have all given correct information, at how many minutes past the hour does the bus depart?

Correct answer: C. 35

A. 5
B. 15
C. 35
D. 45

Explanation

The correct answer is 35 minutes past the hour. This number satisfies all the given conditions: When 35 is divided by 3, it leaves a remainder of 2, which matches Aisha's statement. When 35 is divided by 4, it leaves a remainder of 3, which matches Sharif's statement. Finally, 35 is a multiple of 5, which matches Abdullah's father's statement. The other options do not meet all these conditions simultaneously.

Last updated 3 September 2026

Related questions