CAT प्रश्न और उत्तर का अभ्यास करें
8प्र: 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 ? 4586 05b5cc73de4d2b4197774f952
5b5cc73de4d2b4197774f952- 124.315 minutesfalse
- 226.166 minutestrue
- 322.154 minutesfalse
- 424 minutesfalse
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उत्तर : 2. "26.166 minutes"
व्याख्या :
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.
प्र: Prophet of New India is 4581 05b5cc6b2e4d2b4197774d38d
5b5cc6b2e4d2b4197774d38d- 1Dayanand Saraswathifalse
- 2Sri Ramakrishnatrue
- 3Swamy Vivekanandafalse
- 4Raja Ram Mohan Royfalse
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उत्तर : 2. "Sri Ramakrishna"
व्याख्या :
Answer: B) Sri Ramakrishna Explanation: Sri Ramakrishna is called as the Prophet of New India. Sri Ramakrishna (1836-86) mostly known as Ramakrishna Paramhamsa was a spiritual genius now respected in India and abroad as an outstanding saint of our times. His life and thoughts represents the highest and best of modern Hindu philosophy and practice. Reverence and admiration for him amongst Bengali elites led to the formation of the Ramakrishna Mission by his chief disciple Swami Vivekananda. His devotees look upon him as an incarnation or Avatara of the formless Supreme Brahman as described in the Vedanta while some devotees see him as an avatara of Vishnu.
प्र: What is the saddest fruit? 4574 05b5cc658e4d2b4197774bdc7
5b5cc658e4d2b4197774bdc7- 1Blackberriesfalse
- 2Strawberriesfalse
- 3Blueberriestrue
- 4Pineapplesfalse
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उत्तर : 3. "Blueberries"
व्याख्या :
Answer: C) Blueberries Explanation: Blueberries are the saddest fruits. Reason :: In English some colors are associated with feelings. Blue is associated with sadness. When you "feel blue" it means that you are feeling sad. Hence, as blueberries has blue in its name it indicates that that is the saddest fruit in logic.
प्र: The first synthetic fibre made by man was ____ ? 4566 15b5cc6e0e4d2b4197774eb2f
5b5cc6e0e4d2b4197774eb2f- 1Rayonfalse
- 2Terycottfalse
- 3Polyesterfalse
- 4Nylontrue
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उत्तर : 4. "Nylon"
व्याख्या :
Answer: D) Nylon Explanation:
प्र: A box contains 3 blue marbles, 4 red, 6 green marbles and 2 yellow marbles. If two marbles are picked at random, what is the probability that they are either blue or yellow ? 4545 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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उत्तर : 3. "2/21"
व्याख्या :
Answer: C) 2/21 Explanation: Given that there are three blue marbles, four red marbles, six green marbles and two yellow marbles. Probability that both marbles are blue = ³C₂/¹⁵C₂ = (3 x 2)/(15 x 14) = 1/35 Probability that both are yellow = ²C₂/¹⁵C₂ = (2 x 1)/(15 x 14) = 1/105 Probability that one blue and other is yellow = (³C₁ x ²C₁)/¹⁵C₂ = (2 x 3 x 2)/(15 x 14) = 2/35 Required probability = 1/35 + 1/105 + 2/35 = 3/35 + 1/105 = 1/35(3 + 1/3) = 10/(3 x 35) = 2/21
प्र: The current of a stream at 1 kmph. A motor boat goes 35 km upstream and back to the starting point in 12 hours. The speed of the motor boat in still water is ? 4534 05b5cc6dce4d2b4197774e9c4
5b5cc6dce4d2b4197774e9c4- 18 kmphfalse
- 26 kmphtrue
- 37.5 kmphfalse
- 45.5 kmphfalse
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उत्तर : 2. "6 kmph"
व्याख्या :
Answer: B) 6 kmph Explanation: Speed of the stream = 1Motor boat speed in still water be = x kmphDown Stream = x + 1 kmphUp Stream = x - 1 kmph[35/(x + 1)] + [35/(x - 1)] = 12x = 6 kmph
प्र: Solve the equation 122x+1 = 1 ? 4528 05b5cc6f4e4d2b4197774efd7
5b5cc6f4e4d2b4197774efd7- 1-1/2true
- 21/2false
- 31false
- 4-1false
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उत्तर : 1. "-1/2"
व्याख्या :
Answer: A) -1/2 Explanation: Rewrite equation as 122x+1 = 120 Leads to 2x + 1 = 0 Solve for x : x = -1/2
प्र: 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? 4518 05b5cc7d0e4d2b419777511db
5b5cc7d0e4d2b419777511db- 16false
- 28true
- 39false
- 412false
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उत्तर : 2. "8"
व्याख्या :
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)

