KPIT Placement Paper -: Aptitude Questions And Answers

KPIT Previous Years Solved Sample Placement Papers

1. Find the greatest number which on dividing 107 and 120 leaves remainders 5 and 1 respectively.
   

   A. 25

   B. 6

   C. 9

   D. 17

   Ans: D. 17
   Solution: The required number is the HCF of (107 - 5 = 102) and (120 - 1 = 119). HCF of 102 and 119 is 17.
2. If n is any positive odd integer greater than 1, the expression n(n� - 1) is always divisible by:
   

   A. 7

   B. 5

   C. 24

   D. 15

   Ans: C. 24
   Solution: For any odd n, n� - 1 is divisible by 8 (as it is the difference of two consecutive squares). Also, n(n� - 1) includes three consecutive integers, so it is divisible by 3. Hence, n(n� - 1) is always divisible by 24.
3. A hawker purchased oranges at the rate of 4 oranges per rupee but sells at the rate of 5 oranges per rupee. His loss is:
   

   A. 20%

   B. 25%

   C. 50%

   D. 100%

   Ans: A. 20%
   Solution: Cost price of 1 orange = 1/4 = 0.25 rupee. Selling price of 1 orange = 1/5 = 0.20 rupee. Loss = (0.25 - 0.20) / 0.25 � 100 = 20%.
4. A train 125 m long passes a man, running at 5 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is:
   

   A. 45 km/hr

   B. 50 km/hr

   C. 54 km/hr

   D. 55 km/hr

   Ans: B. 50 km/hr
   Solution: Let the train's speed be x km/hr. Relative speed = (x - 5) km/hr. Convert speed to m/s: (x - 5) � 5/18 m/s. Time = Distance / Speed. Solving: x = 50 km/hr.
5. Find the grammatical error in the sentence:
   A. The institute B. imparts training C. in D. The French. E. No error. Ans: D. The French
   Solution: The correct phrase should be "in French" instead of "in The French."
6. Choose the word which best expresses the meaning of the given word: **ALERT**
   

   A. Energetic

   B. Observant

   C. Intelligent

   D. Watchful

   Ans: D. Watchful
7. Choose the word which is the exact OPPOSITE of the given word: **EXPAND**
   

   A. Convert

   B. Condense

   C. Congest

   D. Conclude

   Ans: B. Condense
8. Pick out the most effective word(s) from the given words to fill in the blank to make the sentence meaningfully complete:
   **If you smuggle goods into the country, they may be ...... by the customs authority.**
   

   A. Possessed

   B. Punished

   C. Confiscated

   D. Fined

   Ans: C. Confiscated
9. Find the correctly spelled word:
   

   A. Ommineous

   B. Omineous

   C. Ominous

   D. Omenous

   Ans: C. Ominous