Sample QuestionsDirect and Inverse Variations questions
One sample from each question group in this chapter. Select any group above to see the full set with answer keys.
$16$ boys went to the canteen to have tea and snacks together. The bill amounted to $Rs. 114.40$. What will be the contribution of a boy who pays for himself and $5$ others?
View full solution →If the total weight of $11$ identical articles is $77 \ kg$, how many articles of the same type would weigh $224 \ kg$?
View full solution →$22$ men can dig a $27$ m long trench in one day. How many men should be employed for digging $ 135 m$ long trench of the same type in one day?
View full solution →$6$ note$-$books cost $₹ 156,$ find the cost of $54$ such note$-$books.
View full solution →$7 \ kg$ of rice costs $₹ 1,120$. How much rice can be bought for $₹ 3,680$?
View full solution →$A$ can do a work in $15$ days and $B$ in $20$ days. If they together work on it for $4$ days; what fraction of the work will be left?
View full solution →$A$ can do a piece of work in $10$ days and $B$ in $15$ days. How long will they take together to finish it?
View full solution →One tap can fill a cistern in $3$ hours and the waste pipe can empty the full cistern in $5$ hours. In what time will the empty cistern be full, if the tap and the waste pipe are kept open together?
View full solution →If $25$ horses consume $18$ quintal in $36$ days, how long will $28$ quintal last for $30$ horses?
View full solution →Twelve typists, all working with the same speed, type a certain number of pages in $18$ days working $8$ hours a day. Find, how many hours per day must sixteen typists work in order to type the same number of pages in $9$ days?
View full solution →$A$ and $B$ working together can mow a field in $56$ days and with the help of $C$, they could have mowed it in $42$ days. How long would $C$ take by himself?
View full solution →$A, B$, and $C$ can do a piece of work in $6$ days, $12$ days, and $24$ days respectively. In what time will they altogether do it?
View full solution →$A$ and $B$ together can do a piece of work in $6 \frac{2}{3}$ days, but $B$ alone can do it in $10$ days. How long will A take to do it alone?
View full solution →A can$-$do $\frac{1}{4}$ of work in $5$ days and B can do $\frac{1}{3}$ of the same work in $10$ days. Find the number of days in which both working together will complete the work.
View full solution →$90$ men can complete a work in $24$ days working $8$ hours a day. How many men are required to complete the same work in $18$ days working $7 \frac{1}{2}$ hours a day?
View full solution →A can do a piece of work in $10$ days ; $B$ in $18$ days; and $A, B$, and $C$ together in $4$ days. In what time would $C$ alone do it?
View full solution →A can finish a piece of work in $15$ days and $B$ can do it in $10$ days. They worked together for $2$ days and then $B$ goes away. In how many days will $A$ finish the remaining work?
View full solution →$A$ can do a piece of work in $20$ days and $B$ in $15$ days. They worked together on it for $6$ days and then $A$ left. How long will $B$ take to finish the remaining work?
View full solution →$A$ can do a piece of work in $24$ days, $A$ and $B$ can do it in $16$ days and $A, B,$ and $C$ in $10 \frac{2}{3}$ days. In how many days can $A$ and $C$ do it working together?
View full solution →Two pipes $P$ and $Q$ would fill an empty cistern in $24$ minutes and $32$ minutes respectively. Both the pipes being opened together, find when the first pipe must be turned off so that the empty cistern maybe just filled in $16$ minutes.
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