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13 Sep 2018, 02:33
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
97% (00:24) correct
3%
(01:11)
wrong
based on 223
sessions
History
Date
Time
Result
Not Attempted Yet
m and n are two different prime numbers , then the least common multiple of the two numbers must equal to which one of the following ?
A) mn
B) m + n
C) m - n
D) m + mn
E) mn + n
A) mn
B) m + n
C) m - n
D) m + mn
E) mn + n
23 Mar 2020, 10:27
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KSBGC
One of the great things about Integer Properties questions if that we can often solve them by finding values that satisfy the given condition.
And this question to given condition is: m and n are two different prime numbers
So, it COULD be the case that m = 2 and n = 3
If m = 2 and n = 3, then the least common multiple of m and n is 6 (since 6 is the least common multiple of 2 and 3)
Now we can plug m = 2 and n = 3 into each answer choice to see which one yields an output of 6
A) mn = (2)(3) = 6. KEEP!
B) m + n = 2 + 3 = 5. No good. We want an output of 6.
C) m - n = 2 - 3 = -1. No good. We want an output of 6.
D) m + mn = 2 + (2)(3) = 8. No good. We want an output of 6.
E) mn + n = (2)(3) + 3 = 9. No good. We want an output of 6.
By the process of elimination, the correct answer must be A
Cheers,
Brent
General Discussion
13 Sep 2018, 02:56
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selim
Two different prime Numbers have no common factor among them except 1 hence LCM of the two Prime numbers = Product of those two numbers = m*n in this case
Answer: Option A
