Question

Some chocolates are distributed amongst a group of students equally. What can be said about the share of chocolates of each student?

• A. The share of chocolates of each student is an improper fraction if the number of chocolates is less than the number of students.
• B. The share of chocolates of each student is an improper fraction if the number of chocolates is more than the number of students.
• C. The share of chocolates of each student is a proper fraction if the number of chocolates is more than the number of students.
• D. The share of chocolates of each student is a proper fraction if the number of students is more than the number of chocolates.

Answer 1

Answer: (B), (D)

The share of chocolates of each student is a proper fraction if the number of students is more than the number of chocolates.

As chocolates$\left(p\right)$ are being divided among a group of students$\left(q\right),$ so the share of each student$\left(\frac{p}{q}\right)$ would be a proper fraction if $p<q,$ i.e. the number of chocolates is less than the number of students. And, the share of chocolates for each student is an improper fraction if the number of chocolates is more than the number of students.