CAT Practice Question and Answer
8Q: A boatman can row 3 km against the stream in 20 minutes and return in 18 minutes. Find the rate of current ? 5821 05b5cc6ebe4d2b4197774ee46
5b5cc6ebe4d2b4197774ee46- 11/3 kmphfalse
- 22/3 kmphfalse
- 31/4 kmphfalse
- 41/2 kmphtrue
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Answer : 4. "1/2 kmph"
Explanation :
Answer: D) 1/2 kmph Explanation: Speed in upstream = Distance / Time = 3 x 60/20 = 9 km/hr. Speed in downstream = 3 x 60/18 = 10 km/hr Rate of current = (10-9)/2 = 1/2 km/hr.
Q: 10 men and 15 women together can complete a work in 6 days. It takes 100 days for one man alone to complete the same work. How many days will be required for one woman alone to complete the same work? 5791 05b5cc68be4d2b4197774c385
5b5cc68be4d2b4197774c385- 1215 daysfalse
- 2225 daystrue
- 3235 daysfalse
- 4240 daysfalse
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Answer : 2. "225 days"
Explanation :
Answer: B) 225 days Explanation: Given that (10M + 15W) x 6 days = 1M x 100 days => 60M + 90W = 100M => 40M = 90W => 4M = 9W. From the given data, 1M can do the work in 100 days => 4M can do the same work in 100/4= 25 days. => 9W can do the same work in 25 days. => 1W can do the same work in 25 x 9 = 225 days. Hence, 1 woman can do the same work in 225 days.
Q: If 'x' means '-', '÷' means '+', '-' means '÷' and '+' means 'x', then 24 - 4 ÷ 6 x 3 + 4 = ? 5788 05b5cc736e4d2b4197774f856
5b5cc736e4d2b4197774f856- 10true
- 21false
- 32false
- 43false
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Answer : 1. "0"
Explanation :
Answer: A) 0 Explanation: From the given information in the question24 ÷ 4 + 6 - 3 x 4 6 + 6 - 12 = 0
Q: Without any stoppage, a person travels a certain distance at an average speed of 42 km/h, and with stoppages he covers the same distance at an average speed of 28 km/h. How many minutes per hour does he stop? 5786 05b5cc75ee4d2b4197774fcbb
5b5cc75ee4d2b4197774fcbb- 115 minutesfalse
- 220 minutestrue
- 318 minutesfalse
- 422 minutesfalse
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Answer : 2. "20 minutes"
Explanation :
Answer: B) 20 minutes Explanation: Let the total distance to be covered is 84 kms.Time taken to cover the distance without stoppage = 84/42 hrs = 2 hrsTime taken to cover the distance with stoppage = 84/28 = 3 hrs.Thus, he takes 60 minutes to cover the same distance with stoppage.Therefore, in 1 hour he stops for 20 minutes.
Q: Taps X and Y can fill a tank in 30 and 40 minutes respectively.Tap Z can empty the filled tank in 60 minutes.If all the three taps are kept open for one minute each,how much time will the taps take to fill the tank? 5781 05b5cc764e4d2b4197774fde1
5b5cc764e4d2b4197774fde1- 148minfalse
- 272minfalse
- 324mintrue
- 4None of thesefalse
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Answer : 3. "24min"
Explanation :
Answer: C) 24min Explanation: Given taps X and Y can fill the tank in 30 and 40 minutes respectively. Therefore, part filled by tap X in 1 minute = 1/30 part filled by tap Y in 1 minute = 1/40 Tap Z can empty the tank in 60 minutes. Therefore, part emptied by tap Z in 1 minute = 1/60 Net part filled by Pipes X,Y,Z together in 1 minute = [1/30 +1/40 - 1/60] = 5/120 = 1/24 i.e., the tank can be filled in 24 minutes.
Q: 3 men, 4 women and 6 children can complete a work in 7 days. A woman does double the work a man does and a child does half the work a man does. How many women alone can complete this work in 7 days ? 5762 05b5cc6e5e4d2b4197774ecfc
5b5cc6e5e4d2b4197774ecfc- 16false
- 29false
- 35false
- 47true
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Answer : 4. "7"
Explanation :
Answer: D) 7 Explanation: Let 1 woman's 1 day work = x. Then, 1 man's 1 day work = x/2 and 1 child's 1 day work x/4. So, (3x/2 + 4x + + 6x/4) = 1/7 28x/4 = 1/7 => x = 1/49 1 woman alone can complete the work in 49 days. So, to complete the work in 7 days, number of women required = 49/7 = 7.
Q: The Manager of a company accepts only one employees leave request for a particular day. If five employees namely Roshan, Mahesh, Sripad, Laxmipriya and Shreyan applied for the leave on the occasion of Diwali. What is the probability that Laxmi priya’s leave request will be approved ? 5739 05b5cc741e4d2b4197774f97c
5b5cc741e4d2b4197774f97c- 11false
- 21/5true
- 35false
- 44/5false
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Answer : 2. "1/5"
Explanation :
Answer: B) 1/5 Explanation: Number of applicants = 5On a day, only 1 leave is approved.Now favourable events = 1 of 5 applicants is approvedProbability that Laxmi priya's leave is granted = 1/5.
Q: One year ago the ratio between Maneela’s and Shanthi’s salary was 3 : 4. The ratios of their individual salaries between last year’s and this year’s salaries are 4 : 5 and 2 : 3 respectively. At present the total of their salary is Rs. 4160. The salary of Maneela, now is? 5703 05b5cc678e4d2b4197774c165
5b5cc678e4d2b4197774c165- 1Rs. 1600true
- 2Rs. 1700false
- 3Rs. 1800false
- 4Rs. 1900false
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Answer : 1. "Rs. 1600"
Explanation :
Answer: A) Rs. 1600 Explanation: Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively. Then, from the given data, M1/S1 = 3/4 .....(1) M1/M2 = 4/5 .....(2) S1/S2 = 2/3 .....(3) and M2 + S2 = 4160 .....(4) Solving all these eqtns, we get M2 = Rs. 1600.