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Question 1:

$1+\frac{1}{4}+\frac{1}{8}+\frac{1}{14}+\frac{1}{28}+\frac{1}{56}$ is equal to:

Question 2:

The LCM of two numbers is 48 the number are in the ratio $2: 3$ the sum of the numbers.

Question 3:

Solve the equation:

$0.79 \times 0.012 \times 0.028=\mathrm{x} \times 0.03318$

Question 4:

Express the ratio $75: 125$ in its simplest form.

Question 5:

If a fruitseller sells an apple for Rs.15.3, he suffers a loss of $15 \%$. At what price should he sell 6 such apples to gain 25%? (in rupees)

Question 6:

When a discount of $10\%$ is given on a sweater, there is a $28\%$ profit. What will be the profit if the discount is $14 \%$?

Question 7:

The distance between two places $\mathrm{A}$ and $\mathrm{B}$ is $1090 \mathrm{~km}$. A train starts from $\mathrm{A}$ at $50 \mathrm{kmph}$ at 6 am and another train starts from B at 80 $\mathrm{kmph}$ at 7 am towards each other. At what time will they meet?

Question 8:

The Loss incurred by selling an article at Rs. 5100 is 50% of the gain attained by selling the same article at Rs. 10200 . Find the cost price of the article. (In Rs.)

Question 9:

Two pipe $A$ and $B$ can fill a tank in 10 and 15 minutes respectively. If both the pipes are used together, then low long will it take to fill the tank?

Question 10:

In a group of 225 people $\frac{2}{5}$ are men, $\frac{1}{3}$ are women and the rest are children. The average age of the women is $\frac{5}{8}$ of the average age of the men. The average age of the children is $\frac{1}{4}$ of the average age of the men. If the average age of the men is 40 years, then the average age (in years) of all the people in the group is: