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14 Jul 2015, 00:58
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E
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Difficulty:
25%
(medium)
Question Stats:
71% (01:15) correct
29%
(01:19)
wrong
based on 259
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Let x be a two-digit number whose tens digit is t and whose units digit is u. What is the value of x?
(1) x is a multiple of 15.
(2) The sum of the digits t and u is 9.
Kudos for a correct solution.
(1) x is a multiple of 15.
(2) The sum of the digits t and u is 9.
Kudos for a correct solution.
14 Jul 2015, 01:52
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Bunuel
Let x be a two-digit number whose tens digit is t and whose units digit is u. What is the value of x?
(1) x is a multiple of 15.
(2) The sum of the digits t and u is 9.
Kudos for a correct solution.
(1) x is a multiple of 15.
(2) The sum of the digits t and u is 9.
Kudos for a correct solution.
Solution -
(1) x is a multiple of 15. ---> x can be 15, 30, 45, 60, 75, 90. Not Sufficient.
(2) The sum of the digits t and u is 9. x can be 18, 27, 36, 45, 54, 63, 72, 81, 90. Not sufficient.
1+2 --> There are two common values 45 and 90 matches the x. Not sufficient. ANS E.
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14 Jul 2015, 04:22
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Bunuel
Let x be a two-digit number whose tens digit is t and whose units digit is u. What is the value of x?
(1) x is a multiple of 15.
(2) The sum of the digits t and u is 9.
Kudos for a correct solution.
(1) x is a multiple of 15.
(2) The sum of the digits t and u is 9.
Kudos for a correct solution.
Given : x= tu with t not equal to 0, x=?
Per statement 1, x = 15p ----> x = 15, 30, 45, 60 ....etc. Thus not sufficient.
Per statetement 2, t+u = 9
The different values for {t,u} can be:
9,0
1,8
2,7
3,6
4,5
5,4
6,3
7,2
8,1
Thus this statement is not sufficient
Combining, we see that possible values can be 45 or 90 and thus even combining the statements is not suffiicient. Thus E is the correct answer.
