SELF TEST 2 ON QUANTITATIVE APTITUDE

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Question
1. The rate of working of A and B are in the ratio of 2:3. The number of days taken by them to finish the work is in the ratio
2. The ratio of two positive numbers is 3:4. The sum of their squares is 400. What is the sum of the numbers?
3. If 10% loss is made on selling price, then the rate of loss on the cost price will be
4. If "basis points" are defined so that 1 percent is equal to 100 basis points, then by how many basis points is 82.5 percent greater than 62.5 percent?
5. Sound travels at 330 metres per second. The distance (in kilometres) of a thunder cloud when its sound follows the flash after 10 seconds is
6. For what sum will the simple interest at R% for 2 years will be R?
7. If $P^{2} + \frac{1}{P^{2}} = 47, the value of P + \frac{1}{P}$
8. The third proportional of the following numbers (x-y)², (x²-y²)²
9. Two circles touch each other externally. The distance between their centres is 7 cm. If the radius of one circle is 4 cm the the radius of the other circle is is
10. Let triangle ABC and triangle ABD be on the same base AB and between the same parallels AB and CD. Then the relation between areas of triangles ABC and ABD will be

Question
11. The least value of tan²x + cot²x is
12. While selling a watch, a shop-keeper gives a discount of 5%. If he gives a discount of 7% earns Rs. 15 less as profit. The marked price of the watch is
13. What least value must be assigned to * so that the number 63576*2 is divisible by 8?
14. A student by mistake wrote 64 in place of 46 as a number at the time of finding the average of 10 given numbers and got the average as 50. The correct average of the numbers is
15. If x + √5 = 5 + √y and x,y are positive integers, then the value of $\frac{\sqrt{x} + y}{x + \sqrt{y}}$ is
16. The cube of 997 is
17. Length of the sides of a triangle are a, b, c respectively. If a² + b² + c² = ab + bc + ca then the triangle is
18. The area of the circle with radius Y is W. The difference between the areas of bigger circle (with radius Y) and that of the smaller circle (with radius X) is W'. So x/y is equal to
19. If cos21^o = x/y, then cosec21^o - cos99^o is equal to
20. A right circular conical structure stands on a circular base of 21m diameter is 14 m in height. The total cost of colour washing for its curved surface at Rs. per square metre is (Take pi = 22/7)