Deloitte Placement Paper - Aptitude and Technical Questions with Answers

Previous Years Solved Sample Placement Papers

1. A man is standing on a railway bridge 180 m long. He finds that a train crosses the bridge in 20 seconds but crosses him in 8 seconds. Find the length of the train and its speed.
   Ans: 120 m, 54 km/hr
   


2. Two trains, 100 m and 120 m long, are running in the same direction at 72 km/hr. How much time will the first train take to cross the second?
   (A) 44 sec
   (B) 30 sec
   (C) 120 sec
   (D) 50 sec
   Ans: A
   


3. In a game of 80 points, A can give B 5 points and C 15 points. How many points can B give C in a game of 60?
   (A) 5 pts
   (B) 6 pts
   (C) 7 pts
   (D) 8 pts
   Ans: D
   


4. Find the missing figures:
   (i) ?% of 25 = 20.125
   Ans: 8.5
   (ii) 9% of ? = 63
   Ans: 70
   (iii) 0.25% of ? = 0.04
   Ans: 16
   


5. Sixty-five percent of a number is 21 less than four-fifths of that number. What is the number?
   Ans: 140
   


6. Find the total number of prime factors in the expression \( (4)^{11} \times (7)^5 \times (11)^2 \):
   Ans: 29
   


7. A number is as much greater than 36 as it is less than 86. Find the number:
   Ans: 61
   


8. \(\frac{4}{15}\) of \(\frac{5}{7}\) of a number is greater than \(\frac{4}{9}\) of \(\frac{2}{5}\) of the same number by 8. What is half of that number?
   (A) 310
   (B) 315
   (C) 320
   (D) 325
   Ans: B
   


9. A dog takes 4 leaps for every 5 leaps of a hare, but 3 leaps of a dog are equal to 4 leaps of the hare. Compare their speeds:
   (A) 15:12
   (B) 14:17
   (C) 16:15
   (D) 17:14
   Ans: C
   


10. Rajeev can cover a certain distance in 1 hr 24 min by covering two-thirds of the distance at 4 kmph and the rest at 5 kmph. Find the total distance:
    (A) 6 km
    (B) 4 km
    (C) 7 km
    (D) 8 km
    Ans: A
    


11. A is twice as good a workman as B, and together they finish a piece of work in 18 days. In how many days will A alone finish the work?
    (A) 29 days
    (B) 27 days
    (C) 26 days
    (D) 25 days
    Ans: B
    


12. If two pipes function simultaneously, the reservoir will be filled in 12 hours. One pipe fills the reservoir 10 hours faster than the other. How many hours does it take the second pipe to fill the reservoir?
    (A) 20 hours
    (B) 30 hours
    (C) 40 hours
    (D) 35 hours
    Ans: B
    


13. Find the wrong number in the sequence: 1, 2, 6, 15, 31, 56, 91:
    (A) 31
    (B) 91
    (C) 56
    (D) 15
    Ans: B
    


14. 39 persons can repair a road in 12 days, working 5 hours a day. In how many days will 30 persons, working 6 hours a day, complete the work?
    (A) 10 days
    (B) 13 days
    (C) 14 days
    (D) 15 days
    Ans: B