08-12-2012, 05:50 PM
Aptitude Test-2
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Directions for questions 1 and 2: These questions are based on the following data. Samir goes to a casino to play a game called ‘Aar Ya Paar’. To play the game one must buy a token costing Rs 10 per game. If the Samir wins a game, he gets Rs 20. If loses the game, he loses nothing except the price paid for the token. Samir enters the casino with Rs 61 and plays the game not more than six times and then leaves the casino.
1. What is the different number of amounts (in Rs ) that Samir may have had during the time he spent in the casino?
(1) 10 (2) 11 (3) 13 (4) 16
2. If the probability of winning any game is 0.5, then what is the amount that Samir can expect to walk out with?
(1) Rs 1 (2) Rs 61 (3) Rs 31 (4) Rs 91
Directions for questions 3 and 4: These questionsare based on the following data.There are two cities, P and Q. A car, A, starts from city P at 6:00 a.m. and reaches city Q at noon. Another car, B, starts from city Q at 7:00 a.m. and reaches city P at 3:00 p.m.
3. If the distance between city P and city Q is 240 km,how far from city P is car B, at the moment when car A reaches city Q?
(1) 30 km (2) 60 km (3) 75 km (4) 90 km
4 Another car, C, starts from city P, an hour earlier than car A. If car C meets car A and car B simultaneously, then how much time would car C require to travel from city P to city Q?
(1) 75/9 hours (2) 56/7 hours (3) 82/3 hours (4) Cannot be determined
5. In a right angled triangle, the length of the shortest median is 10 units. Find the length (in units) of the longest median, if the area of the triangle is 96 sq.units.
(1) 368 (2) 481 (3) 391 (4) 292
6. A ladder rests on a wall, such that the distance from the bottom of the wall to the top of the ladder is 32 feet. The same ladder can be turned around, without changing the position of its foot, to rest on an opposite wall. Then, the distance of the top of the ladder resting on the opposite wall from the bottom of that wall would be 24 feet. If the distance between both walls is 56 feet, find the distance of the foot of the ladder from the bottom of the first wall.
(1) 24 feet (2) 26 feet (3) 32 feet (4) 28 feet
7. For my birthday party, I went to purchase sweets. I needed to buy a minimum of 200 pieces of Doodh Peda and 150 pieces of Kaju Barfi. The shopkeeper only had pre-packed boxes (packed sweets) of two types – economy pack and premium pack – that were available. The economy pack had 3 Doodh Pedas and 2 Kaju Barfis costing Rs 18 per pack and the premium pack had 9 Doodh Pedas and 7 Kaju Barfis costing Rs 60 per pack. If I have to meet my requirements with the premium and economy packs, what is the minimum expenditure that I have to incur?
(1) Rs 1,320 (2) Rs 1,302 (3) Rs 1,326 (4) Rs 1,300
8. What is the number of distinct triangles having integral (when measured in cm) sides, which are in the ratio of 3 : 4 : 5, that are possible such that their perimeter is greater than 200 cm but not more than 500 cm?
(1) 22 (2) 23 (3) 24 (4) 25
9. A cuboid has a volume of 64 cubic units. Find the minimum possible value (in units) of the sum of the lengths of the edges of the cuboid.
(1) 36 (2) 40 (3) 72 (4) 48
10. In how many ways can 511 be expressed as a product of three factors?
(1) 16 (2) 27 (3) 82 (4) 10
11. Rahul has a certain number of chocolates with him. If he had four more chocolates, he could distribute the chocolates with him equally among a group of children, such that each child receives as many chocolates as the number of children in the group. If he had five chocolates less, he could distribute the chocolates with him equally among the children of a different group, such that each child receives as many chocolates as the square of the number of children in that group. Find the difference in the number of children in the first group and that in the second group, given that the number chocolates with Rahul are a three-digit number.
(1) 2 (2) 3 (3) 7 (4) 9
12. In a square, PQRS, T, U, V and W are points on the sides PQ, PS, SR and RQ, such that PT : TQ = PU: US = RV : VS = RW : WQ = 2 : 1. Further Z and X are the midpoints of UT and UV respectively, while Y is a point on TW such that TY : YW = 1 : 2. Find the ratio of the area of the triangle XYZ and the square PQRS.
(1) 5 : 18 (2) 5 : 27 (3) 5 : 36 (4) 5 : 54
13. The local park at Raghu’s house is in the shape of a triangle. There are 4 posts along the longest side of the park and 2 and 3 posts along the other two sides respectively. If none of these posts is at any of the corners of the park, find the number of triangles that are possible with vertices at these posts.
(1) 84 (2) 79 (3) 72 (4) None of these
14. How many positive integers are there whose square root is equal to the sum of the digits in the number?
(1) 1 (2) 2 (3) 3 (4) 4
15. A number is exactly divisible by 7, 13 and when it is divided by 11, 17 leaves remainders 1 and 7 respectively. The number chosen is the least possible such number. What number should be subtracted from this number so that the resultant number is a perfect square?
(1) 3 (2) 39 (3) 14 (4) 21
16. Our milkman, travelling at a uniform speed on his bicycle, delivers milk at our place everyday at 6 a.m. On one particular day, when we wanted milk early, I started on my motor cycle at 5.30 a.m. Travelling at a uniform speed, I met the milkman on the way, collected the milk and returned home at 5.40 a.m. Find the ratio of my speed to that of the milkman.
(1) 5 : 2 (2) 2 : 1 (3) 4 : 1 (4) 5 : 1
17. Due to stiff competition, a soft drink company decreased its price per bottle by 50% and started selling the drink in 200 ml bottles instead of the previous 300 ml bottles. Other things being constant, what is the increase or decrease in the revenue (in percentage terms) for every 100 ml sold?
(1) 25% (2) 20% (3) 331/3% (4) None of these
18. The number of digits in the smallest number consisting of only ones and zeros and divisible by 225 is
(1) 4 (2) 10 (3) 11 (4) 9
19. The system of equations
x + y = 4, x − y = 2, 2x − 3y − 4z = k
x + 2y + 4z = 1 will be consistent only if the value of k is
(1) −4 (2) 4 (3) 7 (4) −3