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Question

Charlie wants to buy a new house but he wants a house number that is divisible by both 4 and 5. Houses for sale are numbered 100 to 150. Which of these houses would he want to buy?

A
110, 120 or 130
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B
120, 140 or 150
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C
100, 120 or 140
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D
130, 140 or 150
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Solution

The correct option is C 100, 120 or 140
4 and 5 are relatively prime numbers as both numbers do not share any common factor.
Hence, the number divisible by both 4 and 5 signifies the divisibility by 4×5 = 20.
Numbers starting from 100 to 150, which are divisible by 20 are: 100, 120 and 140.
So, the required house numbers are 100, 120 or 140.

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