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# If a and b are integer and

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Senior Manager
Joined: 22 Feb 2018
Posts: 359
If a and b are integer and  [#permalink]

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20 Apr 2018, 05:56
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Difficulty:

45% (medium)

Question Stats:

59% (02:48) correct 41% (02:53) wrong based on 31 sessions

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If a and b are integer and $$(\sqrt[3]{a} * \sqrt{b})^6=500$$,then $$a+b$$ could equal

A:2
B:3
C:4
D:5
E:6

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Senior DS Moderator
Joined: 27 Oct 2017
Posts: 904
Location: India
GPA: 3.64
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Re: If a and b are integer and  [#permalink]

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20 Apr 2018, 06:14
2
$$500 = 5^3* 2^2$$
Also$$( a^(1/3) *b^(1/2))^6 = a^2*b^3$$
Hence a can be 2, b can be 5.
But a+b =7.
It is not in the option.

Bingo: we have forgot the fact that even power changes negative to positive.
Actually a can be +/- 2
Now considering a = -2, b =5
Hence a+b = -5+2 =3. Answer B
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Re: If a and b are integer and &nbs [#permalink] 20 Apr 2018, 06:14
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