CAT Practice Question and Answer
8Q: Simplify the following equation [K-L2-K+L2]4K = a/b 1314 05b5cc6d6e4d2b4197774e674
5b5cc6d6e4d2b4197774e674- 1K = b /afalse
- 2bL = -atrue
- 3KL = 1false
- 4aK = -bfalse
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Answer : 2. "bL = -a"
Explanation :
Answer: B) bL = -a Explanation: [(K-L)2-K+L2]4K = abK2+L2-2KL-K2+L2+2KL4K= ab => - 4KL/4K = a/b => L = - a/b => bL = -a
Q: The average age of a couple is 24 years when they were married five years ago but now the average age of the husband, wife and child is 20 years(the child was born during the interval). What is the present age of the child ? 2035 05b5cc6d6e4d2b4197774e665
5b5cc6d6e4d2b4197774e665- 12 yrstrue
- 24 yrsfalse
- 33 yrsfalse
- 45 yrsfalse
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Answer : 1. "2 yrs"
Explanation :
Answer: A) 2 yrs Explanation: 29 x 2 = 5820 x 3 = 60 ----------- 2 years Therefore, the age of child is 2 years.
Q: Amar can do a piece of work in 10 days. He works at it for 4 days and then Arun finishes it in 9 days. In how many days can Amar and Arun together finish the work ? 5870 05b5cc6d6e4d2b4197774e66a
5b5cc6d6e4d2b4197774e66a- 14 daysfalse
- 28 daysfalse
- 33 daysfalse
- 46 daystrue
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Answer : 4. "6 days"
Explanation :
Answer: D) 6 days Explanation: 4/10 + 9/x = 1 => x = 15 Then both can do in 1/10 + 1/15 = 1/6 => 6 days
Q: A train 125 m long passes a man, running at 4 km/hr in the same direction in which the train is going, in 10 seconds. The speed of the train is: 1664 05b5cc6d6e4d2b4197774e65b
5b5cc6d6e4d2b4197774e65b- 149 kmphtrue
- 250 kmphfalse
- 351 kmphfalse
- 452 kmphfalse
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Answer : 1. "49 kmph"
Explanation :
Answer: A) 49 kmph Explanation: Speed of the train relative to man = (125/10) m/sec = (25/2) m/sec. [(25/2) x (18/5)] km/hr = 45 km/hr. Let the speed of the train be 'x' km/hr. Then, relative speed = (x - 4) km/hr. x - 4 = 45 => x = 49 km/hr.
Q: The cost price of an article is 54% of the marked price. Calculate the gain percent after allowing a discount of 15% ? 1639 05b5cc6d6e4d2b4197774e660
5b5cc6d6e4d2b4197774e660- 151.32 %false
- 249.23 %false
- 348.4 %true
- 446.8 %false
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Answer : 3. "48.4 %"
Explanation :
Answer: C) 48.4 % Explanation: Let marked price = Rs. 100. Then, C.P. = RS. 54, S.P. = Rs. 85Gain % = 31/64 x 100 = 48.4%.
Q: At what rate percent on simple interest will Rs.415 amount to Rs.514 in 4 years ? 1425 05b5cc6d6e4d2b4197774e656
5b5cc6d6e4d2b4197774e656- 14.58 %false
- 25.96 %true
- 36.52 %false
- 44.98 %false
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Answer : 2. "5.96 %"
Explanation :
Answer: B) 5.96 % Explanation: Difference in amount = 514 - 415 = 99 99 = (415 x 4 x R)/100 R = 5.96%
Q: A 260 m long train running at the speed of 120 km/hr crosses another train running in opposite direction at the speed of 80 km/hr in 9 sec. What is the length of the other train ? 1492 05b5cc6d6e4d2b4197774e651
5b5cc6d6e4d2b4197774e651- 1240 mtstrue
- 2270 mtsfalse
- 3260 mtsfalse
- 4250 mtsfalse
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Answer : 1. "240 mts"
Explanation :
Answer: A) 240 mts Explanation: Relative speed = 120 + 80 = 200 km/hr.= 200 x 5/18 = 500/9 m/sec. Let the length of the other train be L mts.Then, (L + 260)/9 = 500/9 => L = 240 mts.
Q: Where is the headquarters of the United Nations Economic and Social Council (ECOSOC) ? 1949 05b5cc6d5e4d2b4197774e63d
5b5cc6d5e4d2b4197774e63d- 1Berlinfalse
- 2C) ? A) Berlin B)false
- 3? A) Berlin B) Spain C) Londonfalse
- 4New Yorktrue
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Answer : 4. "New York"
Explanation :
Answer: D) New York Explanation: The Economic and Social Council (ECOSOC) is one of the six principal organs of the United Nations for coordinating the economic, social and environmental issues, as well as for implementing internationally agreed development goals. Recently, it is in news because India has been re-elected to the United Nations ECOSOC for another 3-year term. India was among 18 nations to win election to the Economic and Social Council (ECOSOC). India obtained 183 votes, the second highest after Japan in the Asia Pacific category. The elected members of ECOSOC for a three-year term beginning 1 January, 2018 are Belarus, Ecuador, El Salvador, France, Germany, Ghana, India, Ireland, Japan, Malawi, Mexico, Morocco, Philippines, Spain, Sudan, Togo, Turkey and Uruguay. The headquarters of the ECOSOC is located in New York, Unites States.