Question : Tina can do a work in 15 days and Manya can do the same work in 18 days. If they worked for 6 days, then what is the fraction of work is left?
Option 1: $\frac{4}{15}$
Option 2: $\frac{8}{15}$
Option 3: $\frac{11}{15}$
Option 4: $\frac{11}{30}$
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Correct Answer: $\frac{4}{15}$
Solution : One day work of Tina = $\frac{1}{15}$ One day work of Manya = $\frac{1}{18}$ One day work of Tina and Manya = $\frac{1}{15}+\frac{1}{18}$ = $\frac{6+5}{90}$ = $\frac{11}{90}$ Six day work of Tina and Manya = $\frac{11}{90}\times6$ = $\frac{11}{15}$ Remaining work = $(1-\frac{11}{15})$ = $\frac{4}{15}$ Hence, the correct answer is $\frac{4}{15}$.
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Question : The value of $\frac{1}{8} × \left[\frac{1}{5}\right.$ of $\left.\frac{11}{2} ÷\left\{\left(\frac{15}{3}-\frac{18}{6}\right)\right\}\right]$ is:
Option 1: $\frac{11}{160}$
Option 2: $\frac{11}{20}$
Option 3: $\frac{8}{11}$
Option 4: $\frac{11}{8}$
Question : Aadish can complete a work in 14 days. If he worked for 8 days, then what fraction of the work would be left?
Option 1: $\frac{2}{7}$
Option 2: $\frac{3}{7}$
Option 3: $\frac{4}{7}$
Option 4: $\frac{1}{7}$
Question : What is the value of $\left[\frac{1}{5}+\left\{\frac{1}{6}\right.\right.$ of $\left.\left.\left(\frac{42}{35} \div \frac{6}{25}\right)–\left(\frac{2}{7} \times \frac{6}{5} \div \frac{18}{42}\right)\right\}+\frac{19}{30}\right]$?
Option 1: $\frac{17}{15}$
Option 2: $\frac{13}{15}$
Option 3: $\frac{14}{15}$
Option 4: $\frac{11}{15}$
Question : A alone can do a work in 16 days and B alone can do the same work in 12 days. If they worked together on it for 4 days and A left. How long did B take to finish the remaining work?
Option 1: 7 days
Option 2: 5 days
Option 3: 6 days
Option 4: 8 days
Question : A, B, and C can do a piece of work in 10, 20, and 30 days, respectively. In how many days can A do the work if he is assisted by B and C on every third day?
Option 1: 9 days
Option 2: $8 \frac{5}{11}$ days
Option 3: $8 \frac{2}{11}$ days
Option 4: $6 \frac{5}{11}$ days
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