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Which of the following is the least positive integer that is divisible by each of the integers from 2 through 5, inclusi

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by M7MBA » Wed Sep 09, 2020 6:45 am

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Answers

A

B

C

D

E

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Which of the following is the least positive integer that is divisible by each of the integers from 2 through 5, inclusive?

A. 30
B. 60
C. 120
D. 180
E. 240

Answer: B

Source: Princeton Review
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Re: Which of the following is the least positive integer that is divisible by each of the integers from 2 through 5, inc

by Nirav Umaretiya » Sat Sep 12, 2020 10:44 pm
From the properties of divisibility tests, you can derive that for a number to be divisible by 2 to 5 inclusive, it must be divisible by 3,4,5.

But if you are not comfortable with divisibility tests, just use the method of elimination and you will be able to get the correct answer.

A) 30
Divisible by 2 - yes
Divisible by 3 - yes
Divisible by 4 - No (Eliminate)
Divisible by 5 - yes (not important anymore)

B) 60
Divisible by 2 - yes
Divisible by 3 - yes
Divisible by 4 - yes
Divisible by 5 - yes

C, D, E are greater than 60 so you don't need to test them anymore.

The correct answer is B
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