Unique Academic Board Solutions for Exercise 5: Exercise 5

Find the smallest number which, when divided by $15, 20, 36$ and $48$ has in each case $8$ as remainder: 

Which is the largest fraction among $\frac{3}{8}, \frac{3}{5}, \frac{2}{3}$ and $\frac{1}{2}$?

A man complete $\frac{2}{15}$ of his journey by aeroplane, $\frac{2}{5}$ by train and the rest by taxi. What part of his journey does he complete by taxi? 

What is the value of ${\left(-\frac{1}{27}\right)}^{-\frac{2}{3}}$ on simplification? 

A car complete a journey at $60$ km per hour in $5$ hours. If the same journey is completed by the car at $50$ km per hour, how much time will it take?

If $4$ men or $7$ women do a work in $60$ days, then in how many days will $8$ men and $7$ women finish the same work?

A person spent $85\%$ of his monthly income and there after saves $\mathrm{Rs}.3,600$ per month. Find out his total income:

$1100$ boys and $900$ girls appeared in an examination. If $50\%$ of the boys and $40\%$ of the girls passed in the examination, find the total percentage of student who passed?