If \(T\) dividd by \(B\) equals 8.12 what is a possible

This topic has expert replies
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 8086
Joined: Sat Apr 25, 2015 10:56 am
Location: Los Angeles, CA
Thanked: 43 times
Followed by:29 members

by Scott@TargetTestPrep » Sun Nov 03, 2019 7:33 pm
BTGmoderatorLU wrote:Source: Manhattan Prep

If \(T\) divided by \(B\) equals 8.12 what is a possible remainder?

A. 2
B. 8
C. 9
D. 26
E. 44

The OA is C
We can create the equation:

T/B = 8 + 12/100

T/B = 8 + 3/25

Thus, the remainder is a multiple of 3, so 9 is a possible remainder.

Answer: C

Scott Woodbury-Stewart
Founder and CEO
[email protected]

Image

See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews

ImageImage

GMAT/MBA Expert

User avatar
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

by [email protected] » Mon Nov 04, 2019 9:30 am
Hi All,

We're told that T/B = 8.12 and we're asked for a POSSIBLE remainder when T is divided by B. The wording of this question implies that there are MULTIPLE answers - so if your 'first' solution isn't among the five answer choices, then that does not mean that your answer is wrong (it just means that you have one of the possible solutions that isn't listed - and that you have to keep working). In certain questions - such as this one - TESTing VALUES and doing a little work can reveal a pattern that you can then use to select the correct answer.

IF....
T = 812 and B = 100, then T/B = 8.12 and 812/100 = 80 remainder 12. This answer is not among the choices, but notice that both 812 and 100 are even, so we can reduce this fraction...

IF....
T = 406 and B = 50, then T/B = 8.12 and 406/50 = 80 remainder 6. This answer is not among the choices, but notice that both 406 and 500 are even, so we can again reduce this fraction...

IF....
T = 203 and B = 25, then T/B = 8.12 and 203/25 = 80 remainder 3. This answer is also not among the choices, but we now have three potential remainders that are ALL multiples of 3, thus, it's highly likely that the correct answer is ALSO a multiple of 3 - and there's only one answer that fits that pattern...

Final Answer: [spoiler=]C[/spoiler]

GMAT assassins aren't born, they're made,
Rich
Contact Rich at [email protected]
Image