CAT Practice Question and Answer

Q: Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ? 2164 0

  • 1
    8/15
    Correct
    Wrong
  • 2
    7/15
    Correct
    Wrong
  • 3
    1/15
    Correct
    Wrong
  • 4
    4/15
    Correct
    Wrong
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Answer : 2. "7/15"
Explanation :

Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

Q: At what time, between 3 o’clock and 4 o’clock, both the hour hand and minute hand coincide each other  ? 2164 0

  • 1
    3:16 7/11
    Correct
    Wrong
  • 2
    3:16 11/4
    Correct
    Wrong
  • 3
    3:30
    Correct
    Wrong
  • 4
    3:16 4/11
    Correct
    Wrong
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Answer : 4. "3:16 4/11"
Explanation :

Answer: D) 3:16 4/11 Explanation: Coincide means 00  angle. This can be calculated using the formulafor time A to B means  [11m/2 - 30 (A)] Here m gives minutes after A the both hands coincides. Here A = 3, B = 4 0 =11m/2 –30 × 311m = 90 × 2 = 180m= 180/11 = 16 4/11 So time = 3 : 16 4/11

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 ? 2163 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: Largest Mint in India is at 2163 0

  • 1
    Mumbai
    Correct
    Wrong
  • 2
    Hyderabad
    Correct
    Wrong
  • 3
    Noida
    Correct
    Wrong
  • 4
    Kolkata
    Correct
    Wrong
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Answer : 4. "Kolkata"
Explanation :

Answer: D) Kolkata Explanation: The Largest Mint in India is Kolkata Mint.   Government of India operates 4 Mints in the country for the production of Coins. They are at Hyderabad, Telangana Mumbai, Maharashtra Kolkata, West Bengal Noida, Uttar Pradesh.

Q: Simplify the fraction? 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17) 2163 0

  • 1
    -4 (1/17)
    Correct
    Wrong
  • 2
    5 (2/17)
    Correct
    Wrong
  • 3
    -2 (1/17)
    Correct
    Wrong
  • 4
    3 (3/17)
    Correct
    Wrong
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Answer : 1. "-4 (1/17)"
Explanation :

Answer: A) -4 (1/17) Explanation: Given fraction is 5 (2/7) - 3 (1/14) - 2 (1/14) - 1 (1/7) = ? + 3 (1/17)  It can be written as  (5 - 3 - 2 - 1) + (2/7 - 1/14 - 1/14 - 1/7) = ? +  3 (1/17)  -1 + 0 - 3 (1/17) = ? => ? = -4 (1/17)

Q: Consumer protection laws are meant to 2162 0

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Answer :
Explanation :

Protect the consumer from the seller who cheat to sell his product.   The FTC’s Bureau of Consumer Protection stops unfair, deceptive and fraudulent business practices by collecting complaints and conducting investigations, suing companies and people that break the law, developing rules to maintain a fair marketplace, and educating consumers and businesses about their rights and responsibilities.

Q: A cistern is normally filled in 8 hours but takes two hours longer to fill because of a leak in its bottom. If the cistern is full, the leak will empty it in    ? 2161 0

  • 1
    20 hrs
    Correct
    Wrong
  • 2
    28 hrs
    Correct
    Wrong
  • 3
    36 hrs
    Correct
    Wrong
  • 4
    40 hrs
    Correct
    Wrong
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Answer : 1. "20 hrs"
Explanation :

Answer: A) 20 hrs Explanation: 1/8 - 1/x = 1/10  => x = 40 hrs

Q: What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ? 2161 0

  • 1
    8 hrs
    Correct
    Wrong
  • 2
    7 hrs 15 min
    Correct
    Wrong
  • 3
    7 hrs 30 min
    Correct
    Wrong
  • 4
    8 hrs 20 min
    Correct
    Wrong
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Answer : 3. "7 hrs 30 min"
Explanation :

Answer: C) 7 hrs 30 min Explanation: Total number of cards = 1500total columns = 45so, total punches=1500 x 45 = 67500for 1 hour if we make 9000 punches, we require 67500/9000 = 7.5so 7hours:30mins.

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