If a, b, and c are real numbers, is a/b > b/c?
(1) a > c
(2) ac > b^2
[spoiler]OA=E[/spoiler].
Is not sufficient the second statement? Why not? Can anyone give me some help, please?
Target Test Prep is 20% off right now!
Use code FLASH20
Available with Beat the GMAT members only code
MORE DETAILS
If a, b, and c are real numbers, is a/b > b/c?
This topic has expert replies
-
Gmat_mission
- Legendary Member
- Posts: 1622
- Joined: Thu Mar 01, 2018 7:22 am
- Followed by:2 members
-
deloitte247
- Legendary Member
- Posts: 2214
- Joined: Fri Mar 02, 2018 2:22 pm
- Followed by:5 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
Target question = $$Is\ \frac{a}{b}>\frac{b}{c}?$$
$$\frac{a}{b}>\frac{b}{c}$$
$$\frac{a}{b}-\frac{b}{c}>0$$
$$\frac{ac-b^2}{bc}>0$$
Statement 1 = $$a>c$$
This does not give sufficient information about $$b$$ so statement 1 is INSUFFICIENT
Statement 2 = $$ac>b^2$$
$$ac-b^2>0$$
No information on 'bc' Statement 2 is INSUFFICIENT.
Combining the two statements together does not give any valuable information on B and cannot answer the target question. answer is Option E because both statement is INSUFFICIENT
$$\frac{a}{b}>\frac{b}{c}$$
$$\frac{a}{b}-\frac{b}{c}>0$$
$$\frac{ac-b^2}{bc}>0$$
Statement 1 = $$a>c$$
This does not give sufficient information about $$b$$ so statement 1 is INSUFFICIENT
Statement 2 = $$ac>b^2$$
$$ac-b^2>0$$
No information on 'bc' Statement 2 is INSUFFICIENT.
Combining the two statements together does not give any valuable information on B and cannot answer the target question. answer is Option E because both statement is INSUFFICIENT
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 Gmat_mission,
We're told that A, B and C are real numbers. We're asked if A/B is greater than B/C. This is a YES/NO question and can be solved by TESTing VALUES.
1) A > C
IF.....
A=2, B=1, C=1 then 2/1 is greater than 1/1 and the answer to the question is YES
A=2, B=-1, C=1 then 2/1 is greater than -1/1 and the answer to the question is NO
Fact 1 is INSUFFICIENT
2) (A)(C) > B^2
IF.....
A=2, B=1, C=1 then 2 is greater than (1)^2 and the answer to the question is YES
A=2, B=-1, C=1 then 2 is greater than (-1)^2 = 1 and the answer to the question is NO
Fact 2 is INSUFFICIENT
Combined, we already have two TESTs that 'fit' both Facts and produce two different answers (one "YES" and one "NO"), so no more work is required.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
We're told that A, B and C are real numbers. We're asked if A/B is greater than B/C. This is a YES/NO question and can be solved by TESTing VALUES.
1) A > C
IF.....
A=2, B=1, C=1 then 2/1 is greater than 1/1 and the answer to the question is YES
A=2, B=-1, C=1 then 2/1 is greater than -1/1 and the answer to the question is NO
Fact 1 is INSUFFICIENT
2) (A)(C) > B^2
IF.....
A=2, B=1, C=1 then 2 is greater than (1)^2 and the answer to the question is YES
A=2, B=-1, C=1 then 2 is greater than (-1)^2 = 1 and the answer to the question is NO
Fact 2 is INSUFFICIENT
Combined, we already have two TESTs that 'fit' both Facts and produce two different answers (one "YES" and one "NO"), so no more work is required.
Combined, INSUFFICIENT
Final Answer: E
GMAT assassins aren't born, they're made,
Rich
