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Re: If A B C are digits and AB not equals to 0, what is the val [#permalink]
08 Apr 2012, 13:32

1

This post received KUDOS

Expert's post

babusona wrote:

If A B C are digits and AB not equals to 0, what is the value of B? (1) AB +BA _______________ AAC

(2) A=1

I am confused on the OA. Consider following situations - 82 91 +28 +19 ____ _____ 110 110

Hence, B can be 2 or 1. So (1) is not sufficient.

In your first example A has different values, which cannot happen.

If A, B and C are digits and AB#0, what is the value of B?

(1) AB + BA = AAC --> A=1 (A can not be more than 1, as the sum of 2 two-digit numbers is always less than 200) --> 1B+B1=11C --> B=9 (B can not be less than 8 as 18+81=99, not a three digit number) --> 19+91=110. Sufficient.

Re: If A B C are digits and AB not equals to 0, what is the val [#permalink]
13 Apr 2012, 21:58

Bunuel wrote:

babusona wrote:

If A B C are digits and AB not equals to 0, what is the value of B? (1) AB +BA _______________ AAC

(2) A=1

I am confused on the OA. Consider following situations - 82 91 +28 +19 ____ _____ 110 110

Hence, B can be 2 or 1. So (1) is not sufficient.

In your first example A has different values, which cannot happen.

If A, B and C are digits and AB#0, what is the value of B?

(1) AB + BA = AAC --> A=1 (A can not be more than 1, as the sum of 2 two-digit numbers is always less than 200) --> 1B+B1=11C --> B=9 (B can not be less than 8 as 18+81=99, not a three digit number) --> 19+91=110. Sufficient.

(2) A = 1. Not sufficient.

Answer: A.

Hi what does AB#0 mean? what is the approach to solve such question in Data Sufficiency?

If A,B and C are digits and AB is not 0, what is the value [#permalink]
10 Dec 2012, 01:51

amitdgr wrote:

If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BA = AAC

(2) A = 1

I think the answer is D.

Statement 1: this statement has already been established as sufficient in the previous posts.

Statement2: A=1

AB +BA ------- AAC

In the above addition, observe the units place: (digit) B + (digit) A = (digit) C Now observe the tens place: (digit) A + (digit) B = (digit) A? -----> this means that a digit has carried over from the addition of the units digits. Now, because a digit has carried over, this implies that the digit A+B is a two digit number----> Now, the only way A+B or (1+B) will be a two digit number is if B = 9.

Re: If A,B and C are digits and AB is not 0, what is the value [#permalink]
10 Dec 2012, 01:58

Expert's post

geezer0305 wrote:

amitdgr wrote:

If A,B and C are digits and AB is not 0, what is the value of B ?

(1) AB + BA = AAC

(2) A = 1

I think the answer is D.

Statement 1: this statement has already been established as sufficient in the previous posts.

Statement2: A=1

AB +BA ------- AAC

In the above addition, observe the units place: (digit) B + (digit) A = (digit) C Now observe the tens place: (digit) A + (digit) B = (digit) A? -----> this means that a digit has carried over from the addition of the units digits. Now, because a digit has carried over, this implies that the digit A+B is a two digit number----> Now, the only way A+B or (1+B) will be a two digit number is if B = 9.

therefore statement B is sufficient as well.

You cannot use information given in the first statement (AB + BA = AAC) for the second.

Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink]
10 Dec 2012, 03:42

Ans: The only possibility of getting AA after adding A and B is if A=1 (adding two digits cannot give a number greater than 20). Since the addition of two numbers gives a three-digit number, therefore A+B>equal to 10 , that leaves B to be only 9. Therefore the answer is (D). _________________

Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink]
10 Dec 2012, 03:45

Expert's post

priyamne wrote:

Ans: The only possibility of getting AA after adding A and B is if A=1 (adding two digits cannot give a number greater than 20). Since the addition of two numbers gives a three-digit number, therefore A+B>equal to 10 , that leaves B to be only 9. Therefore the answer is (D).

Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink]
12 May 2014, 17:51

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