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Register now and save up to $200 Available with Beat the GMAT members only code • Free Trial & Practice Exam BEAT THE GMAT EXCLUSIVE Available with Beat the GMAT members only code • 5-Day Free Trial 5-day free, full-access trial TTP Quant Available with Beat the GMAT members only code • Magoosh Study with Magoosh GMAT prep Available with Beat the GMAT members only code • Free Practice Test & Review How would you score if you took the GMAT Available with Beat the GMAT members only code ## Data sufficiency tagged by: Brent@GMATPrepNow This topic has 2 expert replies and 1 member reply ### Top Member Roland2rule Legendary Member Joined 30 Aug 2017 Posted: 667 messages Followed by: 3 members #### Data sufficiency Mon Sep 18, 2017 1:26 pm On a certain date, Hannah invested$5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest?

(1) The total amount of interest earned by Hannah's two investments in one year was $900. (2) Hannah invested the$5,000 at 6 percent simple annual interest.

a. Both statement are insufficient
b. statement 2 is sufficient
c. statement 1 and 2 are sufficient
d. statement 1 is insufficient and statement 2 is sufficient
e. None of the above
OA is a....

why is Statement 1 insufficient and 2 sufficient? Show it in mathematical language

### Top Member

Roland2rule Legendary Member
Joined
30 Aug 2017
Posted:
667 messages
Followed by:
3 members
Wed Sep 20, 2017 10:30 am
Brent@GMATPrepNow wrote:
Roland2rule wrote:
On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest? (1) The total amount of interest earned by Hannah's two investments in one year was$900.
(2) Hannah invested the $5,000 at 6 percent simple annual interest. a. Both statement are insufficient b. statement 2 is sufficient c. statement 1 and 2 are sufficient d. statement 1 is insufficient and statement 2 is sufficient e. None of the above OA is a.... why is Statement 1 insufficient and 2 sufficient? Show it in mathematical language Hi Roland2rule, I just realized that your answer choices are totally off. The 5 answer choices for Data Sufficiency questions are always the same: Quote: (A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient. (B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient. (C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient. (D) EACH statement ALONE is sufficient. (E) Statements (1) and (2) TOGETHER are NOT sufficient. Where did you get your answer choices (in red above)? Mind you, the interpretation of the options are right. But since you have decided to castigate and rubbish this via your personal message, there is no point furthering on this. two wrongs don't make a right. I will make my question more constructive and clear next time. Thanks ### GMAT/MBA Expert Rich.C@EMPOWERgmat.com Elite Legendary Member Joined 23 Jun 2013 Posted: 9195 messages Followed by: 472 members Upvotes: 2867 GMAT Score: 800 Tue Sep 19, 2017 3:13 pm Hi Roland2rule, We're told that Hannah invested$5,000 at X percent simple annual interest and a DIFFERENT amount at Y percent simple annual interest. We're asked for the amount that Hannah invested at Y percent. This DS question can be solved by TESTing VALUES.

1) The total amount of interest earned by Hannah's two investments in one year was $900. Based on the information in the prompt, we can create the following equation: ($5,000)(X/100) + ($Z)(Y/100) = 900 You can see that there are 3 variables, but just one equation - so there are likely lots of different possible values for Z. Here are two possibilities: X = 6.... so ($5000)(6/100) = $300 Z =$10,000 and Y = 6... so ($10,000)(6/100) =$600
And the answer to the question is $10,000 X = 6.... so ($5000)(6/100) = $300 Z =$20,000 and Y = 3... so ($20,000)(3/100) =$600
And the answer to the question is $20,000 Fact 1 is INSUFFICIENT (2) Hannah invested the$5,000 at 6 percent simple annual interest.

The same two examples that I listed in Fact 1 also 'fit' Fact 2 (and create the same two different results):

X = 6.... so ($5000)(6/100) =$300
Z = $10,000 and Y = 6... so ($10,000)(6/100) = $600 And the answer to the question is$10,000

X = 6.... so ($5000)(6/100) =$300
Z = $20,000 and Y = 3... so ($20,000)(3/100) = $600 And the answer to the question is$20,000
Fact 2 is INSUFFICIENT

Combined, we have no additional work to do - the two examples we have already 'fit' both Facts and produce two different answers.
Combined, INSUFFICIENT

GMAT assassins aren't born, they're made,
Rich

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Contact Rich at Rich.C@empowergmat.com

### GMAT/MBA Expert

Brent@GMATPrepNow GMAT Instructor
Joined
08 Dec 2008
Posted:
11279 messages
Followed by:
1225 members
5254
GMAT Score:
770
Mon Sep 18, 2017 1:47 pm
Roland2rule wrote:
On a certain date, Hannah invested $5,000 at x percent simple annual interest and a different amount at y percent simple annual interest. What amount did Hannah invest at y percent simple annual interest? (1) The total amount of interest earned by Hannah's two investments in one year was$900.
(2) Hannah invested the \$5,000 at 6 percent simple annual interest.

a. Both statement are insufficient
b. statement 2 is sufficient
c. statement 1 and 2 are sufficient
d. statement 1 is insufficient and statement 2 is sufficient
e. None of the above

OA is a....

why is Statement 1 insufficient and 2 sufficient? Show it in mathematical language
Hi Roland2rule,

The 5 answer choices for Data Sufficiency questions are always the same:
Quote:
(A) Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
(B) Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
(C) BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
(D) EACH statement ALONE is sufficient.
(E) Statements (1) and (2) TOGETHER are NOT sufficient.

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Brent Hanneson â€“ Founder of GMATPrepNow.com
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