TEST YOURSELF ON QUANTITATIVE APTITUDE

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Question
1. A can do a piece of work in 9 days while B can do it in 12 days. A and B together can do the work in
2. A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. The retailer sell it at the printed price. His gain percent is
3. A mixture contains spirit and water in the ratio of 3 : 2. If it contains 3 litres more spirit than water, the quantity of spirit in the mixture is
4. If the cost price of 25 pens is equal to the selling price of 20 pens, then the profit percent is
5. A number is decreased by 10% and the resulting number is again decreased by 20%. What is the final percentage of decrease?
6. The distance between two places A and B is 60 km. Two cars start at the same time from A and B, travelling at a speed of 35 km/h and 25 km/h respectively. If the cars run in the same direction, then they will meet after (in hours)
7. The sum of money that will yield Rs. 60 as simple interest at 6% per annum in 5 years is
8. If x, y and z are real numbers such that (x - 3)² + (y - 4)² + (z - 5)² = 0 then (x + y + z) is equal to
9. If $2x + \frac{1}{3x} = 5$ , the value of $\frac{5 x}{6 x^{2} + 20 x + 1}$ is
10. The orthocentre of a triangle is the point where

Question
11. ABCD is a cyclic trapezium in which AD is parallel to BC. If ∠ABC =70^o, then ∠BCD is
12. If cos27^o = x, the value of tan 63^o is
13. The sum of 10 terms of the arithmetic series is 390. If the third term of the series is 19, find the first term.
14. The average of marks obtained by 100 candidates in a certain examination is 30. If the average marks of the passed candidates is 35 and that of the failed candidates is 10, what is the number of candidates who passed the examination?
15. If a + b = 10 and ab = 21, then the value of (a - b)² is
16. If (x - 4)(x² + 4x + 16) = x³ - P, then P is equal to
17. G is the centroid of triangle ABC. If AG = BC, then the measure of angle BGC is
18. In a circle, a chord 5√2 cm long, makes a right angle at the centre. Then the length of the radius of the circle will be
19. If cos²x + cos⁴x = 1, then tan²x + tan⁴x =
20. The angle of elevation of an aeroplane from a point on the ground is 45^o. After flying for 15 seconds, the elevation changes to 30^o. If the aeroplane is flying at a height of 2500 metres, then the speed of the aeroplane in km/hr is