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Question 1:

P and Q can complete a work in 9 and 12 days respectively. Working alternatively, in how many days the same work will be completed if Q starts the work.

Question 2:

What is the median of the following data? ?


Question 3:

A trader mixes 15 kg of rice at Rs. 45 per kg with 25 kg of rice of other variety at Rs. 35 per kg and sells the mixture at Rs. 40 per kg. Find his profit or loss percent.

Question 4:

Akash spent $10 \%$ of his yearly income on house rent, $12 \%$ on buying a new car, $18 \%$ on kids school. He spent $25 \%$ and $15 \%$ of the remaining on groceries and vacation respectively. If he saved Rs. 21,600 in the entire year, then find how much money did he spend on house rent?

Question 5:

Three students $\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ play cricket. The runs scored by $\mathrm{A}$ and $\mathrm{B}$ respectively are in the ratio $3: 2 .$ B's runs to C's runs are also in the same ratio. Together they score 342 runs. Then the runs scored by $\mathrm{B}$ are:

Question 6:

Amit has Rs. 67 in the form of 2 rupee, 1 rupee and 50-paise coins in the ratio $8: 9$ : 17. Find the number of 50 -paise coins.

Question 7:

If a sum of amount becomes 3 time in 8 years at compound interest, it will become 9 times in how many years?

Question 8:

When $\left(49^{401}+37^{401}\right)$ is divisible by 43 , the remainder is

Question 9:

Two horses are standing 585 metres apart. First horse can run at a speed of $72 \mathrm{~km} / \mathrm{h}$ and second horse can run at a speed of 90 $\mathrm{km} / \mathrm{h}$. If two horses run towards each other after how much time will they bump into each other.

Question 10:

A shopkeeper has two articles - P and Q. The cost price of the article P is 32.5% more than the cost price of the article Q. The cost price of article P is increased by 30% and it is sold in Rs. 8268 at a profit of 25%. If article Q marked up 40% above the cost price, then what is the marked price of the article Q in rupees?