Aptitude Written Test

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Noah Harper
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1 Aptitude Written Test 1) 1. If a printer can print 2 pages of text per second, then at this rate, approximately how many minutes will take to print 5000 pages of text. a. 4 b. 25 c. 42 d ) Last year vivek saved 10% of his annual earnings, this year he earned 5% more than last year and he saved 12% of his annual earnings. The amount saved this year was what percentage of the amount saved last year? a. 124% b.126% c.128% d.122% 3) Q(3-4) In a class consisting of 75 students 25 didn t know typing,45 knew short hand and 10 knew neither typing nor short hand. How many students knew both typing and short hand? a. 20 b. 25 c. 30 d. cannot be determined 4) How many students knew only typing? a. 20 b. 25 c. 30 d. 35 5) What is the value of 15²-14²+13²-12² ²+1²? a. 225 b.265 c.120 d.125 6) Tanks A&B are each in the shape of right circular cylinder,the interior of tank A has a height of 10mts and circumference of 8mts and the interior of tank B has a height of 8mts and circumference of 10mts. The capacity of tank A is what % capacity of tank B. a. 80% b.75% c.100% d.120% 7) In a survey, 20% of a town has car, and 10% has a bike. 1/3rd of the car owners also own a bike. What proportion of the town doesn t own either a car or a bike? a. 23/30 b. 11/15 c. 7/10 d. 1/6 8) In how many arrangements can a teacher seat 3 girls and 3 boys in a row of 6 Seats, if the boys are to have 1, 3, 5 seats?

2 a. 9 b. 12 c. 36 d ) There are 11 women and 9 men in certain club. If the club is to select a Committee of 2 women and 2 men, how many different such committees are possible. a.120 b. 720 c d ) A grocer has 400 pounds of coffee in stock, 20% of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60% is decaffeinated. What percent by weight, of the grocer stock of coffee is decaffeinated? a. 30% b. 28% c. 32% d. 34% 11) Mr.Verma has two children and at least one of them is a girl. What is the probability that the both children are girls? a. ¼ c. 300/11 b. ½ d. Cannot be determined 12) (10^9)/ 1.6(10³) a. 30(10^6) b. 30^5 c. 30(10^5) d. [3(10)]^6 13) If I have to measure all weights from 1kg to 121kg, what is the minimum number of weights I should keep? a. 1 b. 5 c. 13 d ) If f(x)=minimum (3x+5,10-2x), what is the maximum possible value of f(x)? a. 1 b. 3 c. 6 d. 8 15) Mara runs faster than gail, lily runs faster than mara, gail runs faster than lily. If the two statements are true the third statement is a. false b. uncertain c. none d. true 16) A mountain goat attempts to scale a cliff 60 ft high every minute the goat bounds upward three feet but slips back two, how long does it take for the goat to reach the top? a. 1hr b. 48 mins c. 30min d. 58min 17) In the triangle ABC right angled at B, AB = 4cm. BC = 3 cm and DE=EF. If BE is extended to meet AC at G, then find the length of AG.

3 a.15/7 b.20/7 d. 5/2 c.35/14 18) Questions 18 to 20 are based on the following: If x and y are positive integers, then A(x,y) is defined as follows A(0,y) = y+1 A(x,0) = x A(x,y) = A(x-1,A(0,y-1)) A(0,0) = 1 The value of A(1,3) is a. 1 b. 2 c.3 d. 4 19) The value of A(3,0) is a. 2 b. 3 c. 4 d. 5 20) The value of A(2,0) is a. 1 b. 2 c. 3 d. 4 21) In a 100 m race, A can give B 10 m and C 28 m. In the same race B can give C: a. 18 m b. 20 m c. 27 m d. 9 m 22) A and B take part in 100 m race. A runs at 5 kmph. A gives B a start of 8 m and still beats him by 8 seconds. The speed of B is: a kmph c kmph b kmph d. 4.4 kmph 23) In a 500 m race, the ratio of the speeds of two contestants A and B is 3 : 4. A has a start of 140 m. Then, A wins by: a. 60 m b. 40 m c. 20 m d. 10 m 24) In a 100 m race, A beats B by 10 m and C by 13 m. In a race of 180 m, B will beat C by: a. 5.4 m b. 4.5 m c. 5 m d. 6 m

4 25) At a game of billiards, A can give B 15 points in 60 and A can give C to 20 points in 60. How many points can B give C in a game of 90? a. 30 points b. 20 points c. 10 points d. 12 points 26) Two ships are sailing in the sea on the two sides of a lighthouse. The angle of elevation of the top of the lighthouse is observed from the ships are 30º and 45º respectively. If the lighthouse is 100 m high, the distance between the two ships is: a. 173 m b. 200 m c. 273 m d. 300 m 27) A man standing at a point P is watching the top of a tower, which makes an angle of elevation of 30º with the man's eye. The man walks some distance towards the tower to watch its top and the angle of the elevation becomes 60º. What is the distance between the base of the tower and the point P? a. 8 units b. 12 units c. Data inadequate d. None of these 28) The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is: a. 2.3 m b. 4.6 m c. 7.8 m d. 9.2 m 29) An observer 1.6 m tall is 203 away from a tower. The angle of elevation from his eye to the top of the tower is 30º. The heights of the tower is: a m b m c m d. None of these 30) From a point P on a level ground, the angle of elevation of the top tower is 30º. If the tower is 100 m high, the distance of point P from the foot of the tower is: a. 149 m b. 156 m c. 173 m d. 200 m 31) A bank offers 5% compound interest calculated on half-yearly basis. A customer deposits Rs each on 1st January and 1st July of a year. At the end of the year, the amount he would have gained by way of interest is: a. Rs. 120 b. Rs. 121 c. Rs. 122 d. Rs ) The difference between simple and compound interests compounded annually on a certain sum of money for 2 years at 4% per annum is Re. 1. The sum (in Rs.) is: a. 625 b. 630 c. 640 d ) There is 60% increase in an amount in 6 years at simple interest. What will be the compound interest of Rs. 12,000 after 3 years at the same rate? a. Rs b. Rs. 3120

5 c. Rs d. Rs ) What is the difference between the compound interests on Rs for 1 & half years at 4% per annum compounded yearly and half-yearly? a. Rs b. Rs c. Rs d. Rs ) The compound interest on Rs. 30,000 at 7% per annum is Rs The period (in years) is: a. 2 b. 2 & half c. 3 d. 4 36) A sum of money at simple interest amounts to Rs. 815 in 3 years and to Rs. 854 in 4 years. The sum is: a. Rs. 650 b. Rs. 690 c. Rs. 698 d. Rs ) Mr. Thomas invested an amount of Rs. 13,900 divided in two different schemes A and B at the simple interest rate of 14% p.a. and 11% p.a. respectively. If the total amount of simple interest earned in 2 years be Rs. 3508, what was the amount invested in Scheme B? a. Rs b. Rs c. Rs d. Rs ) A sum fetched a total simple interest of Rs at the rate of 9 p.c.p.a. in 5 years. What is the sum? a. Rs b. Rs c. Rs d. Rs ) How much time will it take for an amount of Rs. 450 to yield Rs. 81 as interest at 4.5% per annum of simple interest? a. 3.5 years b. 4 years c. 4.5 years d. 5 years 40) Reena took a loan of Rs with simple interest for as many years as the rate of interest. If she paid Rs. 432 as interest at the end of the loan period, what was the rate of interest? a. 3.6 b. 6 c. 18 d. Cannot be determined

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