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Question 1:

If $8 x-\frac{1}{2 x}=6$, then find the value of $16 x^{2}+\frac{1}{16 x}$.

Question 2:

In 60 litres of mixture, the ratio of milk and water is $4: 1$. In order to make the ratio 3 : 2 , how much quantity of water should be added?

Question 3:

The area of a square is $16 / \pi$ of the area of a circle. The ratio between the side of a square and the diameter of a circle is -

Question 4:

Sachin covers a distance of $360 \mathrm{~km}$ from Delhi to Hyderabad in 4 hours, some by plane and some by train. If he had done his entire journey by plane, he would have saved 4/5 of his train time and would have reached his destination 2 hours earlier. Find the distance traveled by train?

Question 5:

A can finish a work in 24 days, B in 9 days and C in 12 days. B and C start the work but are forced to leave after 3 days. The remaining work was done by A in?

Question 6:

In $\triangle \mathrm{ABC}, \angle \mathrm{A}=66^{\circ} . \mathrm{AB}$ and $\mathrm{AC}$ are produced to points $\mathrm{D}$ and $\mathrm{E}$, respectively. If the bisectors of $\angle \mathrm{CBD}$ and angle $\angle B C E$ meet at the point $\mathrm{O}$, then $\angle B O C$ is equal to:

Question 7:

The difference between the selling prices of some apples, if sold for Rs.12 per apple instead of Rs.9 per apple, is Rs.870. If total cost price of all the apples is Rs.2,320, then find the selling price of one apple if the profit earned is 25%.

Question 8:

Two friends Arjun and Karan have some money in the ratio 6:5. If the money with Arjun decreases by 13.5% and that with Karan increases by Rs 456, then the money with both of them becomes equal. What is the average of the money with them initially?

Question 9:

The LCM of two numbers is 44 times of their HCF. The sum of the LCM and HCF is 1125 . If one number is 25 , then the other number is

Question 10:

The average salary of all the employees in a workshop is ₹ 18,000. The average salary of 7 technicians is ₹ 24,000 and that of the remaining employees is ₹ 12,000. What is the total number of employees in the workshop?