PRACTICE TEST 1 ON QUANTITATIVE APTITUDE

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Question
1. A is twice as good as B and together they finish a piece of work in 16 days. The number of days taken by A alone to finish the work is?
2. The successive discount of 15%, 20% and 25% on an arcile is equivalent to the single discount of
3. The numbers x, y, z are respectively proportional to 2, 3, 5 and the x, y and z is 80. If the number z is given by the equation z = ax-8, then a is
4. If the ratio of cost price and selling price be 10:11, then the profit percentage will be
5. The price of rice has increased by 60%. In order to restore the original price the new price must be reduced by
6. A man covers a total distance of 100 km on bicycle. For the first 2 hours the speed was 20 km/hr and for the rest of the journey, it came down to 10 km/hr. The average speed will be
7. Alipta got some amount of money from her father. In how many years will the ratio of the money and the interest obtained from it be 10:3 at 6% simple interest per annum?
8. If (x - 2)(x - p) = x² - ax + 6, then the value of (a - p) is
9. When $2x + \frac{2}{3} = 3$ , then the value of x³ $+ \frac{1}{x^{3}} + 2$ is
10. In a triangle ABC, if ∠A + ∠C = 140^o and ∠A + 3∠B = 180^o, then ∠A is equal to

Question
11. If PA and PB are two tangents to a circle with centre O such that angle APB =80^o. The angle AOP is
12. If tan (5x - 10^o) = cot (5y + 20^o), then the value of x + y is
13. Which one of the following is the minimum value of the sum of two integers whose product is 24?
14. The average marks obtained by a class of 60 students is 65. The average marks of half of the students is found to be 85. The average marks of the remaining students is
15. If $x = √a + \frac{1}{√a}, y = √a - \frac{1}{√a}$ , (a > 0), then the value of x⁴ + y⁴ - 2x²y² is
16. If x = $\sqrt[3]{x^{2} + 11} - 2$ , then the value of x³ + 5x² + 12x is
17. Which of the set of three side can't form a triangle?
18. AB is the diameter of a circle with centre O and P be a point on its circumference, if angle POA = 120^o, then the value of angle PBO is?
19. A pilot in an aeroplane at an altitude of 200 m observes two points lying on either side of a river. If the angle of depression of the two points be 45^o and 60^o, then the width of the river is
20. A solid sphere of radius 9 cm is melted to form a sphere of 6 cm and a right circular cylinder of same radius. The height of the cylinder so formed is