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18 Jul 2024, 06:59
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Minimum x: 2
Maximum x: 2
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
46% (01:48) correct
54%
(01:42)
wrong
based on 558
sessions
History
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Not Attempted Yet
A student was given an equation, x * y = z, where x, y, and z are different digits and y > x. Select for Minimum x the least possible value of x, and select for Maximum x the maximum possible value of x. Make only two selections, one in each column.
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| Minimum x | Maximum x | |
| 1 | ||
| 2 | ||
| 3 | ||
| 4 | ||
| 5 | ||
| 6 |
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Official Answer
Minimum x: 2
Maximum x: 2
18 Jul 2024, 07:02
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Bunuel
GMAT Club Official Explanation:
The most important point to observe is that since x, y, and z are different digits (0, 1, 2, ..., 9) and y > x, then x * y = z implies z > y > x. Additionally, we can conclude that x cannot be 0 or 1, as that would make z = 0 = x or z = y, respectively (0 * y = 0 and 1 * y = y), violating the z > y > x condition.
Can x be 2? Yes. Consider x = 2, y = 3, and z = 6: 2 * 3 = 6. Thus, the least possible value of x is 2.
As for the maximum possible value of x, can x be 3 or higher? No, because x = 3 would imply that y is at least 4, and thus x * y would be 12, which is not a digit. Therefore, the maximum possible value of x is also 2.
In both cases, x has to be 2 (x is the smallest of the three digits). Therefore, the answer for both columns will be 2.
18 Jul 2024, 07:32
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Given X*Y= Z
y>X
Min value possible for minimum X is 1 as per the option given as Y always greater than X. same with the maximum value is 6 as per option available for max value of X or Z
Though as per me, this question seems bit off ...questions is not correctly asked.
y>X
Min value possible for minimum X is 1 as per the option given as Y always greater than X. same with the maximum value is 6 as per option available for max value of X or Z
Though as per me, this question seems bit off ...questions is not correctly asked.
