Question

Which of the following is true for the shaded parts of models shown?
P: Shaded part of model -1
Q: Shaded part of model -2

• A. P =Q
• B. P<Q
• C. P>Q
• D. None of these

Answer 1

The correct option is C P>Q

For model-1,
Total number of equal parts =12
Number of shaded parts =9
Therefore shaded fraction =P=$\frac{9}{12}$=$\frac{3}{4}$
For model-2,
Total number of equal parts =6
Number of shaded parts = 3
Shaded fraction = Q= $\frac{3}{6}$=$\frac{1\times 2}{2\times 2}$=$\frac{2}{4}$
Now, $\frac{3}{4}$>$\frac{2}{4}$
P>Q