CDS MATHEMATICS QUIZ 10

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Question 1:

Mohan Can do a piece of work in $10\\ \ \mathrm{days}$ and Atul can do same work in 12 days. They Started working together but Mohan left the work after 2 days, then find the time taken by Atul to complete the remaining work.

Question 2:

Abhishek goes to kanpur from Bareily at $6 \mathrm{~km} / \mathrm{hr}$ and returns to Bareily from kanpur at $x \mathrm{~km} / \mathrm{hr}$. What is the value of $x$, if average speed of Abhishek while going and coming back is $12 \mathrm{~km} / \mathrm{hr}$ ?

Question 3:

$P, Q$ and $R$ can idependently do a work in 15 days, 20 days and 30 days, rospeotively. They work together for some time after which R leaves $P$ total of RS. 18000 is paid for the work and Q gets Rs 6000 more than $R$. For How many days did $P$ work.

Question 4:

Vivek can complete a piece of work in 4 days 5 Bablu takes double the time taken by Vivek, Prabhu takes double that of bablu, and Durga takes double that of Prabhu to complete the same task. They are paired in groups of two each. One pair takes two thirds the time needed by the second pair to complete the work. Which is the first pair.

Question 5:

Rahul does half as much work as Rakesh does and Krishan does half as much work as Rahula and Rakesh do together, in the same time. If krishan alone can do the work in 40 days, then working together, the tree of them will finish the work in?

Question 6:

Sunil has been growing two types of bacteria $\mathrm{A}$ and $\mathrm{B}$ in two different enclosures on a particular day. A bacteria had a starting population of 2 . While B Bacteria had a starts population of 8 . However, A bacteria starts growing five hours before the 13 bacteria starts growing on the same day at 8p.m. Sunil checks the enclosures and finds that the two types of bacteria have the same population. If the population of A doubles every hours, but the population of $B$ is quardruple el every hour, at what time did he start growing B.

Question 7:

8 men can complete a work in 32 days while 64 women can complete the same work in 12 days. 16 men and 16 women started working and worked for 12 days. How many additional men are required after that to complete the remaining work in 2 days.

Question 8:

Three friends Ram, Atul and Mukesh can together complete a work in 8 days. If Mukesh refused to work with them, then Ram and Atul together can complete the work in 10 days and Ram alone can complete the work in 16 days. It was decided that Ram and Mukesh will together complete $70\%$ of the work and the rest will be completed by Atul alone. The total time taken by them to complete the work is.

Question 9:

Manisha and Lakshmi can type ten identical books in 25 and 20 days respectively. If Manisha, Lakshmi and Shivani, together under table the work of typing the ten books for a sum of Rs. 12000 and complete the work in ten days, find Shivani's share (in Rs.)

Question 10:

Amit and Uprant can complete, a piece of work in 16 days and 18 days respectively. If they work on alternate days starting from Uprant, then what is the fraction of work will be completed in first 15 days.
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