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Question 1:

Find the forth proportion of $4: 8:: 16: \mathrm{x}$.

Question 2:

The diameter of the base of a solid right circular cone is $66 \mathrm{~cm}$, and its curved surface area is $2145 \pi \mathrm{cm}^{2}$. The volume of the cone, in $\mathrm{cm}^{3}$, is:

Question 3:

A certain sum is deposited for 4 years at a rate of 10% per annum on compound interest compounded annually. The difference between the interest at the end of 2 years and that at the end of 4 years is ₹ 5,082. Find the sum (in ₹).

Question 4:

A bus complete a journey in 15 hours. If it covers half of the journey at $30 \mathrm{~km} / \mathrm{h}$ and remaining half at $45 \mathrm{~km} / \mathrm{h}$, the distance covered by car is.

Question 5:

$\mathrm{A}, \mathrm{B}$ and $\mathrm{C}$ can do a work in 20,30 and 8 days. They all work together for 3 days, then C quits. Remaining work will be finisheld by $\mathrm{A}$ and $\mathrm{B}$ in how many days?

Question 6:

If 21 is added to a number, it becomes 7 less than thrice of the number. Then the number is:

Question 7:

The marked price of a table is Rs. 12,000. If it was sold for Rs. 10,500 after allowing a certain discount, then the rate of discount is :

Question 8:

The income of A is 20% less than the income of B and 20% more than the income of C . If the sum of their income is Rs.7400 then find the income of B?

Question 9:

If the 5-digit number 9x34y is divisible by 24 , then what is the maximum value of $(\mathrm{x}+\mathrm{y})$ ?

Question 10:

The average of marks of 14 student was calculated as 71 . But it was later found that the marks of one students had been wrongly entered as 42 instead of 56 and of another as 74 instead of 32 . The correct average is: