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If y = ax and x = bz, what is y when z = 75?

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Math Expert
Joined: 02 Sep 2009
Posts: 52284
If y = ax and x = bz, what is y when z = 75?  [#permalink]

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13 Apr 2018, 00:35
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Difficulty:

65% (hard)

Question Stats:

62% (01:53) correct 38% (02:02) wrong based on 71 sessions

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If y = ax and x = bz, what is y when z = 75?

(1) x = 1/2 when z = 60.
(2) y = 2 when z = 50.

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Intern
Joined: 28 Apr 2014
Posts: 49
GMAT 1: 640 Q50 V25
Re: If y = ax and x = bz, what is y when z = 75?  [#permalink]

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13 Apr 2018, 00:41
IMO D
y=ax=a(bz)=abz=75ab
St 1 b can be calculated and hence 75ab
St2 from y and z, we can calculate the value of ab and hence 75ab
Intern
Joined: 08 Feb 2018
Posts: 6
Re: If y = ax and x = bz, what is y when z = 75?  [#permalink]

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16 Apr 2018, 18:26
IMO B
y=ax and x=bz
So y=abz
We need to find y when z=75 so basically we need to find value of y=75ab

Statement(1)- we can only find the value of b from here which is 1/120 but we need a also.hence insufficient

Statement(2)-From this we can find the value of ab which is 1/25.Hence 75ab will be 3.thus y=3 . Sufficient
Hence B

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Joined: 02 Oct 2017
Posts: 735
Re: If y = ax and x = bz, what is y when z = 75?  [#permalink]

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27 Apr 2018, 22:12
I)y=ax x=bz
y=a/2 no value of y so can't calculate y

II)y=abz
Calculate value of ab when y=2 And z=50
Value of ab is known
Then calculate y when ab and z=75 so
Sufficient

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Re: If y = ax and x = bz, what is y when z = 75? &nbs [#permalink] 27 Apr 2018, 22:12
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If y = ax and x = bz, what is y when z = 75?

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