CAT Practice Question and Answer
8Q: P alone can complete a piece of work in 6 days. Work done by Q alone in one day is equal to one-third of the work done by P alone in one day. In how many days can the work be completed if P and Q work together ? 2736 05b5cc6d8e4d2b4197774e737
5b5cc6d8e4d2b4197774e737- 15 (2/3)false
- 26 (3/4 )false
- 34 (1/2)true
- 43false
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Answer : 3. "4 (1/2)"
Explanation :
Answer: C) 4 (1/2) Explanation: Work done by P alone in one day = 1/6th of the total work done by Q alone in one day = 1/3(of that done by P in one day) = 1/3(1/6 of the total) = 1/18 of the total. Work done by P and Q, working together in one day = 1/6 + 1/18 = 4/18 = 2/9 They would take 9/2 days = 4 (1/2) days to complete the work working together.
Q: If a trader sold two cars each at Rs. 404415 and gains 15% on the first and loses 15% on the second, then his profit or loss percent on the whole is ? 1860 05b5cc6d8e4d2b4197774e732
5b5cc6d8e4d2b4197774e732- 11.44 %false
- 22.02 %false
- 31.04 %false
- 42.25 %true
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Answer : 4. "2.25 %"
Explanation :
Answer: D) 2.25 % Explanation: SP of each car is Rs. 404415, he gains 15% on first car and losses 15% on second car. In this case, there will be loss and percentage of loss is given by = [(profit%)(loss%)]/100 = (15)(15)/100 % = 2.25%
Q: A man can row 6 kmph in still water. When the river is running at 1.2 kmph, it takes him 1 hour to row to a place and back. What is the total distance traveled by the man ? 2241 05b5cc6d7e4d2b4197774e728
5b5cc6d7e4d2b4197774e728- 14.58 kmsfalse
- 26.35 kmsfalse
- 35.76 kmstrue
- 45.24 kmsfalse
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Answer : 3. "5.76 kms"
Explanation :
Answer: C) 5.76 kms Explanation: Speed in still water = 6 kmph Stream speed = 1.2 kmph Down stream = 7.2 kmph Up Stream = 4.8 kmph x/7.2 + x/4.8 = 1 x = 2.88 Total Distance = 2.88 x 2 = 5.76 kms
Q: Service tax was introduced in India in the year : 1401 05b5cc6d7e4d2b4197774e72d
5b5cc6d7e4d2b4197774e72d- 11994true
- 21993false
- 31992false
- 41991false
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Answer : 1. "1994"
Explanation :
Answer: A) 1994 Explanation:
Q: What is the feminine of bull ? 2007 05b5cc6d7e4d2b4197774e723
5b5cc6d7e4d2b4197774e723- 1Mulefalse
- 2Ostrichfalse
- 3Tigressfalse
- 4Heifertrue
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Answer : 4. "Heifer"
Explanation :
Answer: D) Heifer Explanation:
Q: Find the least number by which 175760 be divided to make it a perfect cube. 3692 05b5cc6d7e4d2b4197774e70f
5b5cc6d7e4d2b4197774e70f- 16false
- 210true
- 39false
- 430false
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Answer : 2. "10"
Explanation :
Answer: B) 10 Explanation: 175760 =2³ x 2 x 5 x 13³= 2³ x 2 x 5 x 13³ To make perfect cube, it must be divided by 2 x 5 = 10
Q: How many minutes does a watch lose per day, if its hands coincide every 64 minutes ? 1116 05b5cc6d7e4d2b4197774e714
5b5cc6d7e4d2b4197774e714- 136 7/9 minfalse
- 232 8/11 mintrue
- 334 3/11 minfalse
- 465 5/11 minfalse
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Answer : 2. "32 8/11 min"
Explanation :
Answer: B) 32 8/11 min Explanation: 55 min. spaces are covered in 60 min. 60 min. spaces are covered in min. = min. Loss in 64 min. = min. Loss in 24 hrs = min. = min.
Q: How many four digit even numbers can be formed using the digits {2, 7, 5, 3, 9, 1} ? 2412 05b5cc6d7e4d2b4197774e705
5b5cc6d7e4d2b4197774e705- 159false
- 260true
- 361false
- 464false
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Answer : 2. "60"
Explanation :
Answer: B) 60 Explanation: The given digits are 1, 2, 3, 5, 7, 9 A number is even when its units digit is even. Of the given digits, two is the only even digit.Units place is filled with only '2' and the remaining three places can be filled in ⁵P₃ ways. Number of even numbers = ⁵P₃ = 60.