Infosys Placement Paper - : ANALYTICAL THINKING Question

Infosys Previous Years Solved Sample Placement Papers

1. Ravi was running a race and beats Raja by 10 seconds. Ravi in the same race beats Ramesh by 16 seconds. If Ramesh finished the race in 196 seconds, Raja finished it in:
   

   (a) 199

   (b) 190

   (c) 206

   (d) 212 (Ans)

2. There are two empty tanks of equal volume. One tap is fitted to each tank. Both taps are opened simultaneously. One tap fills at 2/7th the rate of the other. If total volume of water filled after one hour is 360 litres, how much time does it take for the tank that is filled at a lower rate to be filled with 360 litres of water?
   

   (a) 6 hours

   (b) 9 hours

   (c) 4.5 hours

   (d) 7.5 hours (Ans)

3. A square is constructed with its side being equal to that of a rhombus of diagonals 20 cm and 48 cm. The square is then compressed along one diagonal such that there is no change in the length of the sides but the diagonal reduces to 13 cm. How many times the side of the square is the second diagonal of the rhombus formed?
   

   (a) 8

   (b) √15

   (c) 4 (Ans)

   (d) √15 / 2

4. The ratio of the volumes of kerosene, petrol and diesel is 9:7:4 in one mixture and 5:14:11 in another mixture. If fifty litres of the first mixture is mixed with a certain quantity of the second mixture and the new mixture contains 35 litres of kerosene, then what will be the ratio of petrol to diesel in the new mixture?
   

   (a) 5:7

   (b) 3:4

   (c) 4:3

   (d) 7:5 (Ans)

5. A circle is inscribed in a square. If the area of the circle is 616 cm², what is the area of the square not occupied by the circle? (π = 22/7)
   

   (a) 148 cm²

   (b) 168 cm²

   (c) 174 cm²

   (d) 192 cm² (Ans)

6. There are five temples with a magical pond in front of them which doubles the number of items in it. Ram goes to the temple with some flowers and dips them in the pond to clean them. He finds that the number of flowers doubled. He places some of them in the first temple and again dips the remaining flowers in the pond. He repeats this process until he placed flowers in the last temple. He is left with no flower after placing the flowers at the fifth temple. He finds that he placed equal number of flowers in all temples. If he initially had less than 50 flowers, how many did he place in each temple?
   

   (a) 16

   (b) 24

   (c) 32 (Ans)

   (d) 64