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If A, B and C are digits and AB#0, what is the value of B? [#permalink]
 08 Apr 2012, 14:19
Question Stats:
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If A, B and C are digits and AB#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.
Last edited by Bunuel on 10 Dec 2012, 02:53, edited 2 times in total.
Edited the question.
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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, 14:32
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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.
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Re: If A B C are digits and AB not equals to 0, what is the val [#permalink]
13 Apr 2012, 22:58
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?
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Re: If A B C are digits and AB not equals to 0, what is the val [#permalink]
14 Apr 2012, 01:49
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If A,B and C are digits and AB is not 0, what is the value [#permalink]
10 Dec 2012, 02:51
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. therefore statement B is sufficient as well.
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Re: If A,B and C are digits and AB is not 0, what is the value [#permalink]
10 Dec 2012, 02:58
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. Check complete solution here: if-a-b-and-c-are-digits-and-ab-0-what-is-the-value-of-b-130419.html#p1071580Hope it helps.
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DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set. NEW!!!
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Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink]
10 Dec 2012, 04:42
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).
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Re: If A, B and C are digits and AB#0, what is the value of B? [#permalink]
10 Dec 2012, 04:45
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Re: If A, B and C are digits and AB#0, what is the value of B?
[#permalink]
10 Dec 2012, 04:45
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