S K Gupta and Anubhuti Gangal Solutions for Exercise 5: Chapter Assessment

The product of the ten fractions:

$\frac{0}{1}\times \frac{1}{2}\times \frac{2}{3}\times \frac{3}{4}\times \frac{4}{5}\times \frac{5}{6}\times \frac{6}{7}\times \frac{7}{8}\times \frac{8}{9}\times \frac{9}{10}$ is

$\frac{1}{9} \mathrm{of} \frac{1}{6} \mathrm{of} \frac{1}{3} \mathrm{of} 56052=$

What value of $x$ makes the statement $x÷1\frac{4}{7}=x$ true?

Simplify:

$\left[2÷\left(1+1÷\frac{1}{2}\right)\right]\times \left[3÷\left(\frac{5}{6} \mathrm{of} \frac{3}{2}÷1\frac{1}{4}\right)\right]$

Making pasta requires boiling $7\frac{1}{2}$ cups of water. Your measuring cup holds $1\frac{1}{4}$ cups of water. How many times do you need to fill the cup?

A boy read $\frac{3}{8}\mathrm{th}$ of the book on one day and $\frac{4}{5}\mathrm{th}$ of the remainder on another day. If there were $30$ pages unread, how many pages did the book contain?

Mrs. Gupta bought $45\frac{1}{4}$ metres of fabric. She used $38\frac{1}{3}$ metres of make $12$ curtains and half of the remaining to make four cushion covers. How much fabric in metres was used to make a cushion cover?

After the $7\mathrm{th}$ grade final exams, Karan gave away $\frac{5}{6}$ of his books and sold $\frac{2}{5}$ of the remaining. If he had $120$ books, how many did he sell?