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What is the value of the two-digit integer x ? (1) The sum of the two
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What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  Updated on: 28 Sep 2018, 04:03
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85% (00:45) correct 15% (00:49) wrong based on 349 sessions

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What is the value of the two-digit integer x ?

(1) The sum of the two digits is 3.
(2) x is divisible by 3.




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45) What is the value of the 2digits integer x?

a) The sum of the digits is 3.

b) x is divisible by 3.

a) let y and z are two digits
then y+z=3
Not Sufficient
b) if x is divisible by 3

x can be 3,6,9,12,15,18,21,24,27,30...
Not Sufficient

Combining a and b
x=30 or it can be 12 ,21 ...

Ans e
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Originally posted by GMATD11 on 13 Feb 2011, 22:39.
Last edited by Bunuel on 28 Sep 2018, 04:03, edited 1 time in total.
Renamed the topic and edited the question.
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What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  14 Feb 2011, 05:52
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consider 1. two options 12,21 NS
consider 2. two options 21, 30 and so on NS
For C 21, 21
So E ans.
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Re: What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  17 Feb 2011, 03:53
For numbers divisible by 3, b is always implied by a. So b does not bring any new information.
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What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  17 Feb 2011, 04:09
For Staement 1 , We can have three two didgit Numbers :
12 , 21, and 30 - Not Sufficient

For Statement 2 , We can have any Number from 12 (Since Required Condition Says Two DIGIT) Upwards , adding 3 to each Number. (Multples of 3 Above 12)


Combine Both , We can norrow down the choices to three Numbers - 12 , 21 & 30, then again We need ONE Answer but We have three.

So the Ans is E .
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Re: What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  18 Feb 2011, 03:56
GMATD11 wrote:
45) What is the value of the 2digits integer x?

a) The sum of the digits is 3.

b) x is divisible by 3.

a) let y and z are two digits
then y+z=3
Not Sufficient
b) if x is divisible by 3

x can be 3,6,9,12,15,18,21,24,27,30...
Not Sufficient

Combining a and b
x=30 or it can be 12 ,21 ...

Ans e


We have 3 options: 12,21,30

1. All options are divisible by 3. We cannot be sure. Insufficient.
2. x is divisible by 3: This we can infer from statement 1 only. No real need for this statement. Anyways, all 3 options are divisible by 3. Insufficient.

1 & 2 also are insufficient as they do not give any other information about the numbers so that we can differentiate between them.

answer E.
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Re: What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  28 Sep 2018, 03:56
OA: E

Quote:
What is the value of the 2digits integer x?

a) The sum of the digits is 3.

b) x is divisible by 3.


OA: E

a) The sum of the digits is 3.

x can be 12,21,30.

As There is no unique value of x, Statement 1 alone is insufficient.

b) x is divisible by 3.

x can be 12,15,18,21,24,27,30 .......... and so on.

Combining 1 and 2, x can be 12,21 and 30.

combining 1 and 2 is also insufficient.
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Re: What is the value of the two-digit integer x ? (1) The sum of the two [#permalink] New post  16 Sep 2019, 03:37
GMATD11 wrote:
What is the value of the two-digit integer x ?

(1) The sum of the two digits is 3.
(2) x is divisible by 3.




Show Spoiler
45) What is the value of the 2digits integer x?

a) The sum of the digits is 3.

b) x is divisible by 3.

a) let y and z are two digits
then y+z=3
Not Sufficient
b) if x is divisible by 3

x can be 3,6,9,12,15,18,21,24,27,30...
Not Sufficient

Combining a and b
x=30 or it can be 12 ,21 ...

Ans e


What is the value of the two-digit integer x ?

Let 2-digit number be ab.

(1) The sum of the two digits is 3.
a+b=3
(a,b) = {(3,0),(1,2),(2,1)}
NOT SUFFICIENT

(2) x is divisible by 3.
10a+b=3k
(a,b) = {(3,0),(1,2),(2,1)}
NOT SUFFICIENT

(1)+(2)
(1) The sum of the two digits is 3.
a+b=3
(2) x is divisible by 3.
10a+b=3k
(a,b) = {(3,0),(1,2),(2,1)}
NOT SUFFICIENT

IMO E
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Re: What is the value of the two-digit integer x ? (1) The sum of the two [#permalink]
16 Sep 2019, 03:37
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