CAT प्रश्न और उत्तर का अभ्यास करें

प्र: 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 ? 4562 0

  • 1
    24.315 minutes
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  • 2
    26.166 minutes
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  • 3
    22.154 minutes
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  • 4
    24 minutes
    सही
    गलत
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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 4551 0

  • 1
    Dayanand Saraswathi
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  • 2
    Sri Ramakrishna
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  • 3
    Swamy Vivekananda
    सही
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  • 4
    Raja Ram Mohan Roy
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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: The first synthetic fibre made by man was ____ ? 4549 1

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    Rayon
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  • 2
    Terycott
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  • 3
    Polyester
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  • 4
    Nylon
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उत्तर : 4. "Nylon"
व्याख्या :

Answer: D) Nylon Explanation:

प्र: What is the saddest fruit? 4542 0

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    Blackberries
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  • 2
    Strawberries
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  • 3
    Blueberries
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  • 4
    Pineapples
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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: 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 ? 4529 0

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    3/17
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  • 2
    4/21
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  • 3
    2/21
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  • 4
    5/17
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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: Solve the equation 122x+1 = 1 ? 4518 0

  • 1
    -1/2
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  • 2
    1/2
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  • 3
    1
    सही
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  • 4
    -1
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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: 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 ? 4516 0

  • 1
    8 kmph
    सही
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  • 2
    6 kmph
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    गलत
  • 3
    7.5 kmph
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    गलत
  • 4
    5.5 kmph
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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: Which of the following is not a selling expense? 4504 0

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    Freight-out
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  • 2
    Advertising expense
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  • 3
    Store supplies
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  • 4
    Office salaries expense
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उत्तर : 4. "Office salaries expense"
व्याख्या :

Answer: D) Office salaries expense Explanation: Office salaries expense would not come under a selling expense.

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