CAT Practice Question and Answer
8Q: Amit can do a piece of work in 45 days, but Bharath can do the same work in 5 days less, than Amit, when working alone. Amit and Bharath both started the work together but Bharath left after some days and Amit finished the remaining work in 56 days with half of his efficiency but he did the work with Bharath with his complete efficiency. For how many days they had worked together? 5008 05b5cc7d0e4d2b419777511db
5b5cc7d0e4d2b419777511db- 16false
- 28true
- 39false
- 412false
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Answer : 2. "8"
Explanation :
Answer: B) 8 Explanation: AmitBharatNo.of Days4540Efficiency2.22Percent(=145)2.5 Percent(=140) Amit did the work in 56 days = 56×145×2=2845 Therefore, Rest work 17/45 was done by Amit and Bharath = 174517360 = 8 days ( since Amit and Bharath do the work in one day = 145+140=17360)
Q: Three taps I, J and K can fill a tank in 20,30and 40 minutes respectively. All the taps are opened simultaneously and after 5 minutes tap A was closed and then after 6 minutes tab B was closed .At the moment a leak developed which can empty the full tank in 70 minutes. What is the total time taken for the completely full ? 4974 05b5cc73de4d2b4197774f952
5b5cc73de4d2b4197774f952- 124.315 minutesfalse
- 226.166 minutestrue
- 322.154 minutesfalse
- 424 minutesfalse
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Answer : 2. "26.166 minutes"
Explanation :
Answer: B) 26.166 minutes Explanation: Upto first 5 minutes I, J and K will fill => 5[(1/20)+(1/30)+(1/40)] = 65/120 For next 6 minutes, J and K will fill => 6[(1/30)+(1/40)] = 42/120 So tank filled upto first 11 minutes = (65/120) + (42/120) = 107/120 So remaining tank = 13/120 Now at the moment filling with C and leakage @ 1/60 per minute= (1/40) - (1/70) = 3/280.So time taken to fill remaining 13/120 tank =(13/120) /(3/280) = 91/6 minutes Hence total time taken to completely fill the tank = 5 + 6 + 91/6 = 26.16 minutes.
Q: Find the one which does not belong to that group ? 4973 05b5cc6ebe4d2b4197774eeaf
5b5cc6ebe4d2b4197774eeaf- 1KMNLfalse
- 2JLMKfalse
- 3PRSQfalse
- 4VWYZtrue
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Answer : 4. "VWYZ"
Explanation :
Answer: D) VWYZ Explanation: K+2 M+1 N-2 L, P+2 R+1 S-2 Q, V+1 W+2 Y+1 Z, J+2 L+1 M-2 K and W+2 Y+1 Z-2 X. Except VWYZ, all the other groups follow similar pattern.
Q: A son and father goes for boating in river upstream . After rowing for 1 mile son notices the hat of his father falling in the river. After 5 min he tells his father that his hat has fallen. So they turn round and are able to pick the hat at the point from where they began boating after 5min. Find the speed of river in miles/hours ? 4955 05b5cc711e4d2b4197774f3d7
5b5cc711e4d2b4197774f3d7- 14 mile/hrfalse
- 26 mile/hrtrue
- 32 mile/hrfalse
- 45 mile/hrfalse
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Answer : 2. "6 mile/hr"
Explanation :
Answer: B) 6 mile/hr Explanation: Let the speed of river and boat be 'r' m/min and 'b' m/min.so relative speed in upstream (b-r)m/min and in downstream (b+r)m/min.Now in upstream distnce covered in 5 min is 5(b-r)milesso total distnce covered => 1 + 5(b-r)miles in upstreamIn downstream distance covered in 5min is 5(b+r)miles Now 1 + 5(b-r) = 5(b+r)1+5b-5r = 5b+5r1 = 10rr = 1/10 mile/min => 6 mile/hr.
Q: The Indian to beat the computers in mathematical wizardry is 4946 05b5cc6a2e4d2b4197774cb66
5b5cc6a2e4d2b4197774cb66- 1Shakuntala Devitrue
- 2Raja Ramannafalse
- 3Rina Panigrahifalse
- 4Ramanujamfalse
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Answer : 1. "Shakuntala Devi"
Explanation :
Answer: A) Shakuntala Devi Explanation:
Q: Who became the first Asian women to sail around the world ? 4945 05b5cc720e4d2b4197774f631
5b5cc720e4d2b4197774f631- 1Golda Meirfalse
- 2Ujwala Patiltrue
- 3Cleopatrafalse
- 4Sirimavo Bandaranaikefalse
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Answer : 2. "Ujwala Patil"
Explanation :
Answer: B) Ujwala Patil Explanation:
Q: In India, planned economy is based on 4942 05b5cc6b5e4d2b4197774d568
5b5cc6b5e4d2b4197774d568- 1Mixed Economy Systemfalse
- 2Capitalist Systemfalse
- 3Gandhian Systemfalse
- 4Socialist Systemtrue
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Answer : 4. "Socialist System"
Explanation :
Answer: D) Socialist System Explanation:
Q: Which Company is the biggest player in the microprocessor industry ? 4938 45b5cc6c0e4d2b4197774dada
5b5cc6c0e4d2b4197774dada- 1AMDfalse
- 2IBMfalse
- 3Motorolafalse
- 4Inteltrue
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Answer : 4. "Intel"
Explanation :
Answer: D) Intel Explanation: