CAT Practice Question and Answer
8Q: 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 05b5cc745e4d2b4197774fa1d
5b5cc745e4d2b4197774fa1d- 18/15false
- 27/15true
- 31/15false
- 44/15false
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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 05b5cc6d8e4d2b4197774e74b
5b5cc6d8e4d2b4197774e74b- 13:16 7/11false
- 23:16 11/4false
- 33:30false
- 43:16 4/11true
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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 05b5cc6e0e4d2b4197774eb48
5b5cc6e0e4d2b4197774eb48- 115 min 20 sec.false
- 216 min 40 sec.false
- 313 min 10 sec.false
- 414 min 40 sec.true
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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 05b5cc6b7e4d2b4197774d5d3
5b5cc6b7e4d2b4197774d5d3- 1Mumbaifalse
- 2Hyderabadfalse
- 3Noidafalse
- 4Kolkatatrue
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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 05b5cc6a5e4d2b4197774ccef
5b5cc6a5e4d2b4197774ccef- 1-4 (1/17)true
- 25 (2/17)false
- 3-2 (1/17)false
- 43 (3/17)false
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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 05b5cc688e4d2b4197774c345
5b5cc688e4d2b4197774c345- Show AnswerHide Answer
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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 05b5cc6e5e4d2b4197774ed2e
5b5cc6e5e4d2b4197774ed2e- 120 hrstrue
- 228 hrsfalse
- 336 hrsfalse
- 440 hrsfalse
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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 05b5cc711e4d2b4197774f3e1
5b5cc711e4d2b4197774f3e1- 18 hrsfalse
- 27 hrs 15 minfalse
- 37 hrs 30 mintrue
- 48 hrs 20 minfalse
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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.

