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28 Mar 2023, 09:05
Kudos
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
42% (02:26) correct
58%
(02:16)
wrong
based on 102
sessions
History
Date
Time
Result
Not Attempted Yet
If x is a positive integer, what is the tens digit of x?
(A) The tens digit of x - 1 is 8
(B) The hundred digit of 20*x is 8
(A) The tens digit of x - 1 is 8
(B) The hundred digit of 20*x is 8
Pure algebraic questions like this one are no longer part of the GMAT Data Sufficiency syllabus.
For relevant Data Sufficiency questions, please check the Data Sufficiency forum:
Data Sufficiency Forum
Data Sufficiency Forum
28 Mar 2023, 09:46
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ChandlerBong
Statement 1
(A) The tens digit of x - 1 is 8
The tens digit of a number can either be 8 if the unit digit is greater than 1 or the tens digit can be 9 if the unit digit is zero.
Example:
388 - 1 = 387 ⇒ The tens digit is 8
390 - 1 = 389 ⇒ The tens digit is 9
As we can have two possible answers, the statement alone is not sufficient. We can eliminate B.
Statement 2
(B) The hundred digit of 20*x is 8
The unit digit of this multiplication will always be zero. Statement 2 provides us the information regarding the hundred digits, this hundred digit of 2x is the result of the multiplication of the tens digit of the 'x' and 2.
Ex:
44 * 20 = 880
91 * 20 = 1820
As we are two possible values of the tens digit of 'x' we can eliminate B.
Combined
Combined we can have only 9 in the tens digit.
The statements combined are sufficient.
Option C
08 Nov 2024, 07:21
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