Multiple Choice Question (MCQ)
What is the least positive integer that is divisible by both 2 and 5 and leaves a remainder of 2 when it is divided by 7?
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×
20
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✓
30
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×
50
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×
65
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×
75
Answer
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If an integer is divisible by both 2 and 5, the number in its ones place must be 0. So D and E are excluded.
Then apply the 2nd condition to check if the number leaves 2 when it is divided by 7.
30 \mod 7 =2
Correct choice is B.