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If x = 0.rstu, where r, s, t, and u each represent a nonzero digit of
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09 Jan 2014, 05:56
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If x = 0.rstu, where r, s, t, and u each represent a nonzero digit of x, what is the value of x ? (1) r = 3s = 2t = 6u (2) The product of r and u is equal to the product of sand t.
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Re: If x = 0.rstu, where r, s, t, and u each represent a nonzero digit of
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09 Jan 2014, 05:56
SOLUTIONIf x = 0.rstu, where r, s, t and u each represent a nonzero digit of x, what is the value of x?(1) r = 3s = 2t = 6u > as r, s, t and u each represent a nonzero digit then r, which equals to 6u, to be nonzero digit u must be 1 (if u is 2 or more then r is no more a digit, and u also can not be zero as given that all unknowns are nonzero) > r=6, s=2, t=3, and u=1 > x=0.6231. Sufficient. (2) The product of r and u is equal to the product of s and t > multiple values of x are possible: x=0.1111, x=2222, x=2211, ... Not sufficient. Answer: A. Similar questions to practice: ifthethreedigitintegerxabcwhereabandc131904.htmlify0jkmnwherejkmandneachrepresentanonzero130018.htmlifx0abcdwhereabcanddeachrepresentanonzero127399.htmlwhatisthetwodigitpositiveintegerwhosetensdigitisa128766.html
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Re: If x = 0.rstu, where r, s, t, and u each represent a nonzero digit of
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09 Jan 2014, 20:58
Given that x = 0.rstu, we can infer from the statements that r,s,t & u are nonzero integers(meaning that they range from 1 to 9) and also these numbers need not be distinct.
1) r = 3s = 2t = 6u If we start by giving a low value for u(eg., 1), we can immediately find out that only one set of numbers fit in. u=1, t=3, s=2, r=6
Note that u cannot be >=2 since it will give a doubledigit value. Therefore, A is sufficient.
2)ru = st From this, we cannot infer which number has a specific value. Therefore, insufficient.
Ans is (A).



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Re: If x = 0.rstu, where r, s, t, and u each represent a nonzero digit of
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10 Jan 2014, 10:37
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionIf x = 0.rstu, where r, s, t, and u each represent a nonzero digit of x, what is the value of x ? (1) r = 3s = 2t = 6u (2) The product of r and u is equal to the product of sand t. Statement 1) we know r,s,t and u can represent only digit, so the 1st set of values which satisfies would be u = 1, t = 3, s = 2 and r = 6. As this is a ratio, we can increase it by multiplying by 2, but in that case, r cannot be a single digit anymore. So Sufficient. Statement 2) we cannot determine the values. It can be 1,1,1,1 or 2,2,2,2. Not Sufficient Hence A)



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Re: If x = 0.rstu, where r, s, t and u each represent a nonzero
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09 Nov 2014, 21:42
The examples for the S2 included 0.2211, 0.1111...above. That would mean that the digits assigned for r,s,t and u repeat. Is that allowed? The question says 'each represent a nonzero digit of x', so that does leave open the possibility for repetition, i guess. But when various variables are assigned, does that not mean that they are all different?



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Re: If x = 0.rstu, where r, s, t and u each represent a nonzero
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10 Nov 2014, 01:14
deeuk wrote: The examples for the S2 included 0.2211, 0.1111...above. That would mean that the digits assigned for r,s,t and u repeat. Is that allowed? The question says 'each represent a nonzero digit of x', so that does leave open the possibility for repetition, i guess. But when various variables are assigned, does that not mean that they are all different? r, s, t and u each represent a nonzero digit means that neither is 0, it does not mean that they are distinct. Generally, unless it is explicitly stated otherwise, different variables CAN represent the same number.
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Re: If x = 0.rstu, where r, s, t, and u each represent a nonzero digit of
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15 Jun 2018, 14:05
(1) s = r/3; t = r/2; u = r/6 r must be 6; so s = 2; t = 3; u = 1 x = 0.6231 Sufficient
(1) ru = st r = u = s = t = 1 x = 0.1111 r = u = s = t = 2 x = 0.2222 Insufficient
Answer A



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Re: if x=0.rstu, where r,s,t,u each represent a nonzero digit
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Re: if x=0.rstu, where r,s,t,u each represent a nonzero digit
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