CAT Practice Question and Answer

Q: Two pipes A and B can fill a tank in 15 min and 20 min respectively. Both the pipes are opened together but after 4 min, pipe A is turned off. What is the total time required to fill the tank ? 1767 0

  • 1
    15 min 20 sec.
    Correct
    Wrong
  • 2
    16 min 40 sec.
    Correct
    Wrong
  • 3
    13 min 10 sec.
    Correct
    Wrong
  • 4
    14 min 40 sec.
    Correct
    Wrong
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Answer : 4. "14 min 40 sec."
Explanation :

Answer: D) 14 min 40 sec. Explanation: Part filled in 4 minutes = 4(1/15 + 1/20) = 7/15   Remaining part = 1 - 7/15 = 8/15   Part filled by B in 1 minute = 1/20   1/20 : 8/15 :: 1 : k   k = (8/15 )x 1 x 20 = 10( 2/3) min = 10 min 40 sec.   The tank will be full in (4 min. + 10 min. 40 sec) = 14 min 40 sec.

Q: The most populous city in the world is  ? 1676 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    Paris
    Correct
    Wrong
  • 3
    Peking
    Correct
    Wrong
  • 4
    London
    Correct
    Wrong
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Answer : 1. "Tokyo"
Explanation :

Answer: A) Tokyo Explanation:

Q: Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ? 1388 0

  • 1
    1 : 3
    Correct
    Wrong
  • 2
    2 : 1
    Correct
    Wrong
  • 3
    3 : 1
    Correct
    Wrong
  • 4
    1 : 2
    Correct
    Wrong
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Answer : 2. "2 : 1"
Explanation :

Answer: B) 2 : 1 Explanation: Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds. Let the length of train K be Lk and that of train L be Ll given that Lk = 3/4 Ll As the train K and L crosses the pole in 30 seconds and 80 seconds respectively, => Speed of train K = sk = Lk/30 Speed of train L = sl = Ll/80 Lk = 3/4 Ll => sk = 3/4 Ll/(30) = Ll/40 Ratio of their speeds = sk : sl = Ll/40 : Ll/80 => 1/40 : 1/80  =  2 : 1

Q: Brass gets discoloured in air because of the presence of which of the following gases in air  ? 2642 0

  • 1
    Hydrogen sulphide
    Correct
    Wrong
  • 2
    Oxygen
    Correct
    Wrong
  • 3
    Nitrogen
    Correct
    Wrong
  • 4
    Carbon dioxide
    Correct
    Wrong
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Answer : 1. "Hydrogen sulphide"
Explanation :

Answer: A) Hydrogen sulphide Explanation:

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 1667 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Q: The first synthetic fibre made by man was ____ ? 4566 1

  • 1
    Rayon
    Correct
    Wrong
  • 2
    Terycott
    Correct
    Wrong
  • 3
    Polyester
    Correct
    Wrong
  • 4
    Nylon
    Correct
    Wrong
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Answer : 4. "Nylon"
Explanation :

Answer: D) Nylon Explanation:

Q: After independence, the first state organized on the basis of language age is  ? 2742 2

  • 1
    Karnataka
    Correct
    Wrong
  • 2
    Punjab
    Correct
    Wrong
  • 3
    Gujarat
    Correct
    Wrong
  • 4
    Andhra Pradesh
    Correct
    Wrong
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Answer : 4. "Andhra Pradesh"
Explanation :

Answer: D) Andhra Pradesh Explanation:

Q: How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ? 1557 0

  • 1
    29 sec
    Correct
    Wrong
  • 2
    58 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    44 sec
    Correct
    Wrong
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Answer : 3. "36 sec"
Explanation :

Answer: C) 36 sec Explanation: Speed of train relative to man = 67 - 7 = 60 km/hr.= 60 x 5/18 = 50/3 m/sec. Time taken to pass the man = 600 x 3/50 = 36 sec.

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