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If @ represents one of the operations +, -, and x, is k@(l+m

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by BTGmoderatorDC » Tue Jul 30, 2019 5:21 pm

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Answers

A

B

C

D

E

Stats

Difficulty—

If @ represents one of the operations +, -, and x, is k@(l+m)=(k@l)+(k@m) for all numbers k, l,and m?

(1) k@1 is not equal to 1@k for some numbers k.
(2) @ represents subtraction.

OA D

Source: Official Guide
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Source: — Data Sufficiency |
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by deloitte247 » Sat Aug 03, 2019 9:43 pm
Statement 1=> k@l is not equal ti I@k for some number k.
$$So,\ if\ @=+,\ then\ k@1\ is\ equal\ to\ 1@k$$
$$So,\ if\ @=x,\ then\ k@1\ is\ equal\ to\ 1@k$$
For k@1 not to be equal to 1@k, that means @=k.
If @ is a subtraction (-), the K-(l+m) is not equal to (k-l) + (k-m). Hence, statement 1 is SUFFICIENT.

Statement 2=> @ represents subtraction
For all value of k, l, and m, k-(l+m) not equal to (k-l) + (k-m).
So, therefore, Statement 2 is SUFFICIENT.

In conclusion, both statement 1 and 2 are sufficient; thereby validating option D as the correct answer.

Thanks.
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