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Question 1:

$[8+9\{10+4$ of $2+(8+\overline{6+4})\}]$

Question 2:

Find the greatest number of five digits which when divided by $3,5,8$, 12 have 2 as remainder:

Question 3:

In an election $15 \%$ voters could not cast their votes $20 \%$ cast votes become invalid. If winner secured $40 \%$ of total votes and he had won by 7,200 votes. Find number of votes which did not cast:

Question 4:

A man buys one table and one chair for Rs.500. He sells the table at a loss of $10 \%$ and the chair at a gain of $10 \%$. He still gains Rs. 10 on the whole. The cost price of the chair is :

Question 5:

A family consists of grandparents, parents and two grandchildren. The average age of the grandparents is 69 years, that of the parents is 39 years, and that of the grandchildren is 9 years. What is the average age (in years) of the family?

Question 6:

In how many months will Rs. 25000 yield Rs. 8275 as compound interest at $20 \%$ per annum compounded Semi annually?

Question 7:

Vande Bharat express overtakes two bikes that are running in the same direction in which the train is going at the rate of $30 \mathrm{~km} / \mathrm{h}$ and $40 \mathrm{~km} / \mathrm{h}$ and passes them completely in $45$ sec and $50 \mathrm{sec}$ respectively. Find the length of the train (in $\mathrm{m}$ ).

Question 8:

$A, B$ and $C$ together can complete a piece of work in 2 days. If $A$ and $B$ together need $2.4$ days to do the work. And it takes them 4 days to work together B and C. In how many days will B alone complete the work?

Question 9:

In a circle with centre $\mathrm{O}, \mathrm{AB}$ is a diameter and $\mathrm{XY}$ is a tangent touching the circle at point $\mathrm{C}$. If $\angle \mathrm{BCY}=55^{\circ}$ then find $\angle \mathrm{AOC}$.

Question 10:

From a cylinder of radius $6 \mathrm{~cm}$ and height 8 $\mathrm{cm}$, a cone of same radius and height is cut. Find the total surface area of the remaining part.