CHAPTER-2 FRACTIONS AND DECIMALS (SET-2)

Questions in this test

1. A carpenter cuts off from a plank $\frac{5}{12}$ of its length and then $\frac{6}{7}$ of what remains. If the remaining piece is $2\frac{1}{2}$ meters long. Find the original length of the plank.
2. Simplify $\left[4\frac{2}{3}\times 5\frac{4}{7}\right]\div 3\frac{1}{4}$
3. Simplify $\left[5\frac{1}{4}-2\frac{1}{3}\right]+\frac{1}{3}$ of $\left[5\frac{1}{2}\div 2\frac{1}{5}\right]$
4. In case of brackets the sequence followed is
5. A bag contains $12\frac{1}{2}$ kg of flour. Two fifths of it was lost through a hole in the side. How much of it was lost?
6. Find the value of $\frac{2}{1+\frac{1}{1-\frac{1}{2}}}\times \frac{3}{\frac{5}{6}of\frac{3}{2}\div 1\frac{1}{4}}$
7. If $a=\left[\frac{1}{10}\right]^2,\ b=\frac{1}{5}$ and $c=\sqrt{\frac{1}{100}}$ , then which of the following statement is correct?
8. The expression $\frac{5\frac{5}{8}}{6\frac{3}{7}}0f\frac{6\frac{7}{11}}{9\frac{1}{8}}\div \frac{8}{9}\left[2\frac{3}{11}+\frac{13}{22}\right]of\frac{3}{5}$ equals:
9. $\frac{1}{20}+\frac{1}{30}+\frac{1}{42}+\frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{110}+\frac{1}{132}$ is equal to
10. If the difference between the reciprocal of a positive proper fraction and the fraction itself be $\frac{9}{20}$, then the fraction is