Question

A and B represent two fractions. The following information is known:

A < 1

B > 1

When A and B are multiplied, the result is a new fraction C.

Choose the correct option(s):

• A. C > A
• B. C < B
• C. A < B
• D. C > B

Answer 1

Answer: (A), (B), (C)

The correct options are
A

C > A

B

C < B

C

A < B

As A is a proper fraction, multiplying it with B will have a net effect of taking a fraction of B.
Thus, AB < B
or, C < B
Also it can be inferred from the question that A < B as A < 1 and B > 1.
The product of an improper fraction and a proper fraction is greater than the proper fraction so C > A