OG In the multiplication table above, each letter
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 394
- Joined: Sun Jul 02, 2017 10:59 am
- Thanked: 1 times
- Followed by:5 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7275
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
We need to determine the value of c. Following our table, we have:
a x c = f
b x c = h
and
c^2 = j
Statement One Alone:
c = f
Since c = f, we have:
a x c = c
ac - c = 0
c(a - 1) = 0
c = 0 or a = 1
We see that either c = 0 or a = 1 (if c ≠0). Since we don't know whether c is 0, we cannot determine the value of c. Statement one alone is not sufficient to answer the question.
Statement Two Alone:
h ≠0
Since h is not zero, neither b nor c is zero. However, we still can't determine the value of c. Statement two alone is not sufficient to answer the question.
Statements One and Two Together:
Using statement two, we know that c ≠0, and thus from statement one, a = 1. However, c can be any nonzero number, so we still cannot determine a value for c.
Answer: E
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Hi All,
We're told that in the multiplication table above, each letter represents an INTEGER. We're asked for the value of C. While this question might look 'complex', it's actually based on some really low-level Arithmetic (specifically multiplication) and can be solved with a little note-taking and logic.
To start, it's important to define what the information in the table really means. Since it's a MULTIPLICATION TABLE, we can deduce the following:
(A)(A) = D
(A)(B) = E
(A)(C) = F
(B)(B) = G
Etc.
1) C = F
Fact 1 tells us that C and F are the SAME integer. Since (A)(C) = F there are two possibilities to consider:
1) A = 1 and C and F are ANY integer.
2) C and F are both 0 and A is ANY integer
Unfortunately, we don't have enough information to figure out any of the values, so C could be ANY integer.
Fact 1 is INSUFFICIENT
2) H is NOT equal to 0.
Fact 2 tells us that H cannot equal 0. Since (B)(C) = H, this means that neither B nor C can equal 0 either. Unfortunately, we still don't have enough information to figure the value of C (we just know that it can't be 0).
Fact 2 is INSUFFICIENT
Combined, we know
Neither B, C nor H can equal 0
A = 1
Based on the deductions that we made in Fact 1, we know that C can be any integer - and with Fact 2, we know that C can't be 0. There's still an infinite number of possible values for C though.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
We're told that in the multiplication table above, each letter represents an INTEGER. We're asked for the value of C. While this question might look 'complex', it's actually based on some really low-level Arithmetic (specifically multiplication) and can be solved with a little note-taking and logic.
To start, it's important to define what the information in the table really means. Since it's a MULTIPLICATION TABLE, we can deduce the following:
(A)(A) = D
(A)(B) = E
(A)(C) = F
(B)(B) = G
Etc.
1) C = F
Fact 1 tells us that C and F are the SAME integer. Since (A)(C) = F there are two possibilities to consider:
1) A = 1 and C and F are ANY integer.
2) C and F are both 0 and A is ANY integer
Unfortunately, we don't have enough information to figure out any of the values, so C could be ANY integer.
Fact 1 is INSUFFICIENT
2) H is NOT equal to 0.
Fact 2 tells us that H cannot equal 0. Since (B)(C) = H, this means that neither B nor C can equal 0 either. Unfortunately, we still don't have enough information to figure the value of C (we just know that it can't be 0).
Fact 2 is INSUFFICIENT
Combined, we know
Neither B, C nor H can equal 0
A = 1
Based on the deductions that we made in Fact 1, we know that C can be any integer - and with Fact 2, we know that C can't be 0. There's still an infinite number of possible values for C though.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich