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25 Oct 2016, 15:48
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In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?
A 1/2
B) 1
C) 2
D) 3
E) 5
A 1/2
B) 1
C) 2
D) 3
E) 5
25 Oct 2016, 16:02
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duahsolo
In the expression 51840/x^4, for which of the following values of x will the expression NOT be an integer?
A 1/2
B) 1
C) 2
D) 3
E) 5
A 1/2
B) 1
C) 2
D) 3
E) 5
We can straightaway eliminate A & B, since the expression will always yields an integer for those values
Out of C, D, and E. Let us consider option E. 51840 has only one trailing zero and tens digit is not 5, so It has just one 5 in it. But for the expression to be an integer numerator should have 5^4.
So option E
General Discussion
04 Sep 2017, 22:44
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We can eliminate option A and B, as in any case these options will give us an integer value.
Now to solve further problem we need to factorize the given number.
51840= 2^7 * 3^4 * 5
Option C=2
(2^7 * 3^4 * 5) / 2^4 ---- Integer
Option D=3
(2^7 * 3^4 * 5) / 3^4 ---- Integer
Option E=5
(2^7 * 3^4 * 5) / 5^4 ---- Not an Integer
Hence Answer is option E.
Kudos if it helps.
Now to solve further problem we need to factorize the given number.
51840= 2^7 * 3^4 * 5
Option C=2
(2^7 * 3^4 * 5) / 2^4 ---- Integer
Option D=3
(2^7 * 3^4 * 5) / 3^4 ---- Integer
Option E=5
(2^7 * 3^4 * 5) / 5^4 ---- Not an Integer
Hence Answer is option E.
Kudos if it helps.
