CAT 1997 | Question: 133

Question

$A, B$ and $C$ are defined as follows:

$A=(2.000004)\div [(2.000004)^{2}+(4.000008)]$

$B=(3.000003)\div [(3.000003)^{2}+(9.000009)]$

$C=(4.000002)\div [(4.000002)^{2}+(8.000004)]$

Which of the following is true about the value of the above three expressions?

• A. All of them lie between $0.18$ and $0.20$.
• B. $A$ is twice $C$.
• C. $C$ is the smallest.
• D. $B$ is the smallest