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. C < B
• D. C < A

Answer 1

Answer: (A), (C), (D)

The correct options are
A

C > A

C

C < B

D

C < A

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 $C>A$