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Question 1:

$A$ and $B$ are 30 $\mathrm{kms}$ apart. When they travel towards each other they meet after half an hour whereas they meet after 6 hours when they move in same direction. What is the speed of the faster one?

Question 2:

A certain loan  was returned in two equal half yearly installment of Rs.20280 . If the rate of Interest was 8% p.a. compounded half yearly, how much was the interest paid on the loan?

Question 3:

A person sold an article at $20 \%$ profit on the selling price. Afterward when the cost price was reduced by $10 \%$ then he also reduced the selling price by $10 \%$. His percentage of profit on cost price will be:-

Question 4:

Hari walks from his home at $5 \mathrm{~km} / \mathrm{hr}$ and reaches his office 3 minute late. The next day he increases his speed by $1 \mathrm{~km}/hr$ and reaches 3 minutes early. The distance of his office from home is:

Question 5:

A can complete a certain work in 30 days. $B$ is $25 \%$ more efficient than $A$ and $\mathrm{C}$ is $20 \%$ more efficient than $\mathrm{B}$. They all worked together for 3 days. B alone will complete the remaining work in.

Question 6:

In an article is sold for Rs. 78 there is a loss of $9 \%$. At what price should it be sold to gain $19 \%$?

Question 7:

A solid metallic cube of side $12 \mathrm{~cm}$ and a solid metallic cuboid having dimension 8 , 16 and $18.5 \mathrm{~cm}$ are melted and recast into a single cube. What is TSA (in $\mathrm{cm}^{2}$ ) of the new cube.

Question 8:

The value of $\sin ^{2} 60^{\circ} \cos ^{2} 60^{\circ}+$ $2 \tan ^{2} 60^{\circ}-\operatorname{cosec}^{2} 30^{\circ}$ is equal to:

Question 9:

If each edge of a cube is increased by $50 \%$, the percentage increase in its surface area is:

Question 10:

What is a single discount equivalent to two successive discounts of $18 \%$, $20 \%$ ?