Instructions

For the following questions answer them individually

Question 11

ABC is a right angled triangle, B being the right angle. Mid-points of BC and AC are respectively Bâ€™ and Aâ€™. The ratio of the area of the quadrilateral AAâ€™ Bâ€™B to the area of the triangle ABC is

Question 12

A square ABCD is inscribed in a circle of unit radius. Semicircles are described on each side of a diameter. The area of the region bounded by the four semicircles and the circle is

Question 13

If the perimeters of a rectangle and a square are equal and the ratio of two adjacent sides of the rectangle is 1 : 2 then the ratio of area of the rectangle and that of the square is

Question 14

The interest on a certain sum of money is Rs. 22 and the true discount on the same sum for the same time and at the same rate is Rs. 20, Find the sum.

Question 15

A retailer purchased radiosets at the rate of Rs. 400 each from a wholesaler. He raised the price by 30% and then allowed a discount of 8% on each set. His profit will be

Question 16

A reduction in the price of apples enables a person to purchase 3 apples for Rs. 1 instead of Rs. 1.25. What is the % of reduction in price (approximately) ?

Question 17

Rs. 700 is divided among A, B, C in such a way that the ratio of the amounts of A and B is 2 : 3 and that of B and C is 4 : 5. Find the amounts in Rs. each received, in order A, B, C.

Question 18

The ratio of monthly incomes of A, B is 6 : 5 and their monthly expenditures are in the ratio 4 : 3. If each of them saves Rs. 400 per month, find the sum of their monthly incomes.

Question 19

A and B have together three times what B and C have, while A, B, C together have thirty rupees more than that of A. If B has 5 times that of C, then A has

Question 20

A cricket player after playing 10 tests scored 100 runs in the 11th test. As a result, the average of his runs is increased by 5. The present average of runs is

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