Question

Abdul, Bheem and Chris eats 6, 7 and 5 slices out of an eight slice pizza respectively. Which of the following is/are true?

• A. Fraction of slices eaten by Abdul > Fraction of slices eaten by Bheem
• B. Fraction of slices eaten by Abdul < Fraction of slices eaten by Bheem
• C. Fraction of slices eaten by Abdul > Fraction of slices eaten by Chris
• D. Fraction of slices eaten by Bheem > Fraction of slices eaten by Chris

Answer 1

Answer: (B), (C), (D)

The correct options are
B Fraction of slices eaten by Abdul < Fraction of slices eaten by Bheem
C Fraction of slices eaten by Abdul > Fraction of slices eaten by Chris
D Fraction of slices eaten by Bheem > Fraction of slices eaten by Chris

Given,
Abdul eats 6 slices out of an 8 slice pizza, so Abdul's fraction = $\frac{6}{8}$

Bheem eats 7 slices out of an 8 slice pizza, so Bheem's fraction = $\frac{7}{8}$

Chris's eats 5 slices out of an 8 slice pizza, so Chris's fraction = $\frac{5}{8}$

Therefore, the fractions we need to compare are $\frac{6}{8}$, $\frac{7}{8}$ and $\frac{5}{8}$.

They are like fractions, hence, we can compare the numerators, i.e., 5 < 6 < 7.
[Lesser the numerator, lesser the fraction]
$\Rightarrow$ $\frac{5}{8}$ < $\frac{6}{8}$ < $\frac{7}{8}$

Hence, Chris's fraction < Abdul's fraction < Bheem's fraction
Hence, (b), (c) and (d) options are true.