Convert Numbers to Million, Billion, Thousands, Hundreds, Lakh, Crore

Quantitative Aptitude set 2

Aptitude questions for Competitive Exams Question paper 1.If 2x-y=4 then 6x-3y=? (a)15 (b)12 (c)18 (d)10 Ans. (b) 2.If x=y=2z and xyz=256 then what is the value of x? (a)12 (b)8 (c)16 (d)6 Ans. (b) 3. (1/10)18 - (1/10)20 = ? (a) 99/1020 (b) 99/10 (c) 0.9 (d) none of these Ans. (a) 4.Pipe A can fill in 20 minutes and Pipe B in 30 mins and Pipe C can empty the same in 40 mins.If all of them work together, find the time taken to fill the tank (a) 17 1/7 mins (b) 20 mins (c) 8 mins (d) none of these Ans. (a) 5. Thirty men take 20 days to complete a job working 9 hours a day.How many hour a day should 40 men work to complete the job? (a) 8 hrs (b) 7 1/2 hrs (c) 7 hrs (d) 9 hrs Ans. (b) 6. Find the smallest number in a GP whose sum is 38 and product 1728 (a) 12 (b) 20 (c) 8 (d) none of these Ans. (c) 7. A boat travels 20 kms upstream in 6 hrs and 18 kms downstream in 4 hrs.Find the speed of the boat in still water and the speed of the water current? (a) 1/2 kmph (b) 7/12 kmph (c) 5 kmph (d) none of these Ans. (b) 8. A goat is tied to one corner of a square plot of side 12m by a rope 7m long.Find the area it can graze? (a) 38.5 sq.m (b) 155 sq.m (c) 144 sq.m (d) 19.25 sq.m Ans. (a) 9. Mr. Shah decided to walk down the escalator of a tube station. He found that if he walks down 26 steps, he requires 30 seconds to reach the bottom. However, if he steps down 34 stairs he would only require 18 seconds to get to the bottom. If the time is measured from the moment the top step begins to descend to the time he steps off the last step at the bottom, find out the height of the stair way in steps? Ans.46 steps. 10. The average age of 10 members of a committee is the same as it was 4 years ago, because an old member has been replaced by a young member. Find how much younger is the new member ? Ans.40 years. 11. Three containers A, B and C have volumes a, b, and c respectively; and container A is full of water while the other two are empty. If from container A water is poured into container B which becomes 1/3 full, and into container C which becomes 1/2 full, how much water is left in container A? 12. ABCE is an isosceles trapezoid and ACDE is a rectangle. AB = 10 and EC = 20. What is the length of AE? Ans. AE = 10. 13. In the given figure, PA and PB are tangents to the circle at A and B respectively and the chord BC is parallel to tangent PA. If AC = 6 cm, and length of the tangent AP is 9 cm, then what is the length of the chord BC? Ans. BC = 4 cm. 15 Three cards are drawn at random from an ordinary pack of cards. Find the probability that they will consist of a king, a queen and an ace. Ans. 64/2210. 16. A number of cats got together and decided to kill between them 999919 mice. Every cat killed an equal number of mice. Each cat killed more mice than there were cats. How many cats do you think there were ? Ans. 991. 17. If Log2 x - 5 Log x + 6 = 0, then what would the value / values of x be? Ans. x = e2 or e3. 18. The square of a two digit number is divided by half the number. After 36 is added to the quotient, this sum is then divided by 2. The digits of the resulting number are the same as those in the original number, but they are in reverse order. The ten's place of the original number is equal to twice the difference between its digits. What is the number? Ans. 46 19.Can you tender a one rupee note in such a manner that there shall be total 50 coins but none of them would be 2 paise coins.? Ans. 45 one paisa coins, 2 five paise coins, 2 ten paise coins, and 1 twenty-five paise coins. 20.A monkey starts climbing up a tree 20ft. tall. Each hour, it hops 3ft. and slips back 2ft. How much time would it take the monkey to reach the top? Ans.18 hours.

Qauntitative Aptitude practice set 1

1. A clock shows the time as 6 a.m. If the minute hand gains 2 minutes every hour, how many minutes will the clock gain by 9 p.m.? (a) 30 minutes (b) 25 minutes (c) 28 minutes (d) 34 minutes 2. Find the right number, from the given options, at the place marked by the question mark: 2, 4, 8, 32, 256, ? (a) 4096 (b) 8192 (c) 512 (d) 1024 3. Find the number missing at question mark: 10, 11, 23, 39, 64, ?, 149 (a) 100 (b) 103 (c) 78 (d) 128 4. A super fast bus of KSRTC starting from ‘Trivandrum’ and reaches ‘Attingal’ in 45 minutes with an average speed of 40 km/hr. If the speed is increased by 10 km/hr how much time it will take to cover the same distance? (a) 34 minutes (b) 36 minutes (c) 38 minutes (d) 40 minutes 5. The difference between 6 times and 8 times of a figure is 14. What is the figure? (a) 12 (b) 9 (c) 7 (d) 6 6. If 92y = 36 what is 9y? (a) 4 (b) 6 (c) 9 (d) 18 7. One fourth percent of 180 is: (a) 4.5 (b) 0.45 (c) 0.045 (d) 45 8. A candidate appearing for an examination has to secure 40% marks to pass paper I. But he secured only 40 marks and failed by 20 marks. What is the maximum mark for paper I? (a) 100 (b) 200 (c) 180 (d) 150 9. Find the missing number 32, 52, 74, 112, 135 …………… (a) 16 (b) 15 (c) 17 (d) 14 10. If 250 is increased to 300, what is the percentage increase? (a) 16.67 (b) 20 (c) 23 (d) 17 11. The ratio of 9 seconds to 10 hours is …………. (a) 1:40 (b) 1:4000 (c) 9:10 (d) 1:400 12. A person lost 10% when he sold goods at Rs.153. For how much should he sell them to gain 20%? (a) 204 (b) 250 (c) 240 (d) 210 13. What will be xy if 7862xy is to be divisible by 125? (a) 25 (b) 00 (c) 75 (d) 50 14. A train of 100 meters long is running at the speed of 36 km per hour. In what time it passes a bridge of 80 meters long? (a) 30 seconds (b) 36 seconds (c) 20 seconds (d) 18 seconds 15. If two-third of a bucket is filled in one minute then the time taken to fill the bucket completely will be ……. (a) 90 seconds (b) 70 seconds (c) 60 seconds (d) 100 seconds 16. If a quarter kilogram costs Rs. 60 then how much will cost for 150 grams? (a) Rs. 30 (b) Rs. 24 (c) Rs. 36 (d) Rs. 40 17. If 3 men or 6 boys can do a piece of work in 20 days then how many days with 6 men and 8 boys take to do the same work? (a) 5 (b) 8 (c) 10 (d) 6 18. Find the sum of first 100 natural numbers (a) 5050 (b) 5005 (c) 9900 (d) 9050 19. Two poles of height 6 meters and 11 meters stand on a plane ground. If the distance between their feet is 12 meters then find the difference in the distance between their tops: (a) 12m (b) 5m (c) 13m (d) 11m 20. How many balls of radius 4 cm can be made from a solid sphere of lead of radius 8 cm? (a) 4 (b) 8 (c) 16 (d) 2 21. The solution to x2 +6x+9 = 0 is …….. (a) x1 = + 3, x2 = -3 (b) x1 = 3, x2 = 3 (c) x1 = -3, x2 = -3 (d) No solution 22. What is the chance of getting a 2 or 4 in rolling a die? (a) 2/3 (b) 1/6 (c) 1/3 (d) 1/2 23. At what rate of simple interest per annum an amount will be doubled in 10 years? (a) 10% (b) 7.5% (c) 16% (d) 15% 24. Five times an unknown number is 5 less than 50. The unknown number (a) 10 (b) 11 (c) 9 (d) 5 25. The acute angle between the hour hand and minute hand of a clock at 4 PM (a) 900 (b) 1200 (c) 1500 (d) 2400 26. Water is filled in a cylindrical vessel in such a way that its volume doubles after every five minutes. If it takes 30 minutes for the vessel to be full, then the vessel will be one fourth full in (a) 20 minute (b) 25 minutes (c) 7 minutes 30 seconds (d) 10 minutes 27. If 10 cats can kill 10 rats in 10 minutes how long will it take 100 cats to kill 100 rats (a) 1 minutes (b) 10 minute (c) 100 minutes (d) 10000 minutes 28. If 75 % of a number is added to 75, the result is the number itself, then the number is: (a) 250 (b) 750 (c) 400 (d) 300 29. A school has enough food for 400 children for 12 days. How long will the food last if 80 more children join them? (a) 6 days (b) 7 days (c) 10 days (d) 8 days 30. The sum of two consecutive numbers is 55, which is the largest number? (a) 25 (b) 28 (c) 26 (d) 27 31. When a shop keeper sold 2/3 of an item, he got the cost price of the whole lot. What is the percentage of his profit? (a) 33 1/8 % (b) 66 2/3 % (c) 25 % (d) 50 % 32. The perimeter of a rectangular field is 480 meters and the ratio between the length and breadth is 5:3. The area of the field is: (a) 7,200m2 (b) 15,000m2 (c) 54,000m2 (d) 13,500m2 33. If you add 100 to a certain number, the result will be more than, if you multiply that number by 1000 what is that number? (a) 1.5 (b) 1.0 (c) 2.5 (d) 2.0 34. A student has to secure 40 % marks to pass. He gets 150 marks and fails by 30 marks. What is the maximum marks? (a) 400 (b) 500 (c) 475 (d) 450 35. The circumcentre of an obtuse triangle will always be in the (a) Interior of the triangle (b) Midpoint of the diameter (c) Exterior of the triangle (d) Midpoint of the side of the triangle 36. What is the degree measure of a semicircle? (a) 360 (b) 90 (c) 270 (d) 180 37. Which among the following is the point of intersection of the medians of a triangle? (a) Circumcentre (b) Centroid (c) Orthocenter (d) Incentre 38. The height of a cone and its base diameter are equal. If the base radius is ‘r’ what is its slant height? (a) 3r (b) 4r (c) √5r (d) √3r 39. The radii of two spheres are in the ratio 2:3. What is the ratio of their surface areas? (a) 4:9 (b) 2:3 (c) 8:27 (d) 4:6 40. What is the common ratio of the progression 3√2, 6, 6√2 ? (a) 3 (b) 2 (c) √2 (d) √3 41. In class of 100 students 50 students passed in Mathematics and 70 passed in English, 5 students failed in both Mathematics and English. How many students passed in both the subjects? (a) 25 (b) 30 (c) 50 (d) 45 42. Speed of a boat in still water is 9 km/hr. It goes 12 km down stream and comes back to the starting point in three hours.What is the speed of water in the stream? (a) 3 km/hr (b) 4 km/hr (c) 4.5 km/hr (d) 5 km/hr 43. A student was asked to add 16 and subtract 10 from a number.He by mistake added 10 and subtracted 16. If his answer is 14 what is the correct answer? (a) 20 (b) 26 (c) 30 (d) 32 44. Find the area of a right angled triangle whose hypotenuse is 10 cm and base 8 cm. (a) 48 sq.cm (b) 34 sq.cm (c) 24 sq.cm (d) 42 sq.cm 45. Find the next term of the series: 3, 6, 9, 18, 27, 54, …… (a) 81 (b) 69 (c) 63 (d) 57 46. A number consists of 20 plus 20% of its value. The number is: (a) 20 (b) 22 (c) 25 (d) 30 47. 20% of 5 + 5% of 20 = (a) 5 (b) 2 (c) 6 (d) 21 48. The angle between the minute hand and the hour hand of a clock, when the time is 8.30 (a) 800 (b) 600 (c) 1050 (d) 750 49. Rs. 1581 is divided among A, B and C in the ratio 10 : 15 : 6. What is the share of B? (a) 306 (b) 765 (c) 700 (d) 510 50. The sum of four consecutive counting numbers is 154. Find the smallest number: (a) 36 (b) 37 (c) 38 (d) 31 Answers 1 A 11 B 21 C 31 D 41 A 2 B 12 A 22 B 32 D 42 A 3 A 13 D 23 A 33 B 43 B 4 B 14 D 24 C 34 D 44 C 5 C 15 A 25 B 35 C 45 A 6 B 16 C 26 A 36 D 46 C 7 C 17 D 27 B 37 B 47 B 8 D 18 A 28 D 38 C 48 D 9 C 19 C 29 C 39 C 49 B 10 B 20 B 30 B 40 C 50 B