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A two-digit even number is such that reversing its digits creates an o

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A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 20 May 2017, 11:55
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A two-digit even number is such that reversing its digits creates an odd number greater than the original number. Which one of the following cannot be the first digit of the original number?

(A) 1
(B) 3
(C) 5
(D) 7
(E) 9

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Re: A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 20 May 2017, 12:49
18, an even integer when reversed gives 81, an odd integer greater than 18(the original number)
Similarly, 36, gives 63.
56, gives 65 and 78, gives 87.
Only integer 98 when reversed doesn't give an odd integer greater than the original even number.
Hence, Option E is the correct answer.
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Re: A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 22 Jun 2017, 20:33
Original number - 32 even
When reversed gives 23 - odd. It is not greater than the original number.
Am i missing something ?
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Re: A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 23 Jun 2017, 01:51
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Santhya wrote:
Original number - 32 even
When reversed gives 23 - odd. It is not greater than the original number.
Am i missing something ?


Original Number could 35 as well...reverse would be 53.

To solve this question, make sure that the unit digit of original number is greater than digit at 10th place...and unit digit should be odd

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Re: A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 14 Jul 2017, 05:43
elegantm wrote:
Santhya wrote:
Original number - 32 even
When reversed gives 23 - odd. It is not greater than the original number.
Am i missing something ?


Original Number could 35 as well...reverse would be 53.

To solve this question, make sure that the unit digit of original number is greater than digit at 10th place...and unit digit should be odd



But why we have to make such assumption from our side. It is not given in the questions that we can make such assumptions.
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Re: A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 14 Jul 2017, 06:09
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(A) 1: 12, 14, 16, 18 - it cannot be 1.

(B) 3: 34, 36, 38 - nope.

(C) 5: 56, 58 - no.

(D) 7: 78 - no.

(E) 9: there can be no 2-digit number with the given specification, so this is our answer.
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Re: A two-digit even number is such that reversing its digits creates an o  [#permalink]

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New post 16 Jul 2017, 17:40
SajjadAhmad wrote:
A two-digit even number is such that reversing its digits creates an odd number greater than the original number. Which one of the following cannot be the first digit of the original number?

(A) 1
(B) 3
(C) 5
(D) 7
(E) 9


Let’s analyze each answer choice:

A. 1

If the original number is 12, then the reversed number is 21. Answer choice A works.

B. 3

If the original number is 34, then the reversed number is 43. Answer choice B works.

C. 5

If the original number is 56, then the reversed number is 65. Answer choice C works.

D. 7

If the original number is 78, then the reversed number is 87. Answer choice D works.

E. 9

Since there are no digits that are greater than 9, there is no two-digit number with a tens place of 9 that when reversed produces a larger odd number.

Answer: E
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Re: A two-digit even number is such that reversing its digits creates an o   [#permalink] 16 Jul 2017, 17:40
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