Deloitte Placement Papers-1

1. Four of the following five are alike in a certain way and so form a group. Which is the one that does not belong to that group?

2. In a certain code, LATE is written as $%#@ and WIDE is written as *?▲@. How is DIAL written  in that code?

3. In the word CONTRACTUAL, the positions of the first and the eleventh letters are interchanged.Similarly, the positions of the second and the tenth letters are interchanged, and so on, up to the positions of fifth and seventh letters are interchanged, keeping the position of sixth letter unchanged.Which letter will be the third to the right of the sixth letter from the left end?

4. What will come in place of the question mark (?) in the following series based on their positions in  the English alphabet?DGH JMN ? VYZ

5. A boat travels upstream from B to A and downstream from A to B in 3 hours. If the speed of the boat in still water is 9 km/hour and the speed of the current is 3 km/hour, the distance between A and B is

6. The mean daily profit made by a shopkeeper in a month of 30 days was Rs. 350. If the mean profit for the first fifteen days was Rs. 275, then the mean profit for the last 15 days would be 

7. If in the following set of numbers, the first and the third digits are interchanged in each number,which number will be second if arranged in ascending order after interchanging the digits?583 645 396 287 469

8. There were 35 students in a hostel. If the number of students increases by 7, the expenses of the mess increase by Rs. 42 per day while the average expenditure per head diminishes by Re 1. Find the original expenditure of the mess.

9. 28 49 13 = x37 12 22 = yWhat will be the sum of the resultant of the two rows?

10. The ratio between the number of passengers travelling by I and II class between the two railway stations is 1 : 50, whereas the ratio of I and II class fares between the same stations is 3 : 1. If on a particular day Rs. 1,325 were collected from the passengers travelling between these stations, then what was the amount collected from the II class passengers? 

11. A pump can be operated both for filling a tank and for emptying it. The capacity of the tank is 2400 m3. The emptying capacity of the pump is 10m3 per minute higher than its filling capacity. Consequently, the pump needs 8 minutes less to empty the tank than to fill it. Find the filling capacity of the pump.

12. Directions (Q.6-10): In each of the following questions two rows of numbers are given. The resultant ofeach row is to be worked out separately based on the following rules, and the question below the row ofnumbers is to be answered. The operations of numbers in each row progress from left to right.Rules:(i) If an odd number is followed by another odd number, they are to be multiplied.(ii) If an even number is followed by another even number, the first number is to be divided by thesecond even number.(iii) If an even number is followed by the perfect square of an odd number, the first number is to besubtracted from the second number.(iv) If an odd number is followed by an even number the two are to be added.(v) If an even number is followed by an odd number which is not a perfect square, the square of the oddnumber is to be added to the even number.11. 96 16 81 = x11 15 18 = yWhat is the value of y-2x?

13. The fuel indicator in a car shows 1/5th of the fuel tank as full. When 22 more liters of fuel are poured in to the tank, the indicator rests at the 3/4of the full mark. Find the capacity of the tank.

14. Which one do you like?

15. A man while returning from his factory, travels 2/3 of the distance by bus, ¾ of the rest partly by car and partly by foot. If he travels 2 km on foot, find the distance covered by him. 

16. A sum of money is accumulating at compound interest at a certain rate of interest. It simple interest instead of compound were reckoned, the interest for the first two years would be diminished by Rs. 20 and that for the first three years, by Rs 61. Find the sum

17. 18 5 17 = x64 8 11 = yWhat will be the value of x + y?

18. Which one do you like?

19. 56 14 936 12 7What will be the difference between the resultants of the two rows?

20. In a kilometer race, A can give B a 100 m start and C a 150 m start. How many meters start can B give to C?