GATE प्रश्न और उत्तर का अभ्यास करें
8प्र: The product of a number and its multiplicative inverse is 4382 05b5cc64de4d2b4197774bc70
5b5cc64de4d2b4197774bc70- 11true
- 20false
- 3-1false
- 4Infinityfalse
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उत्तर : 1. "1"
व्याख्या :
Answer: A) 1 Explanation: The mutiplicative inverse of a number is nothing but a reciprocal of a number. Now, the product of a number and its multiplicative inverse is always equal to 1. For example : Let the number be 15 Multiplicative inverse of 15 = 1/15 The product of a number and its multiplicative inverse is = 15 x 1/15 = 1.
प्र: I learnt from my experience that by______ my anger and resentment, and by avoiding _________ I could overcome opponents more successfully than could those who openly defied their adversaries. 4377 05b5cc731e4d2b4197774f7f6
5b5cc731e4d2b4197774f7f6- 1suppressing, conflicttrue
- 2expressing, hostilityfalse
- 3stifling, temperancefalse
- 4rousing, wrathfalse
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उत्तर : 1. "suppressing, conflict"
व्याख्या :
Answer: A) suppressing, conflict Explanation:
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 ? 4363 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: 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 ? 4350 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: Frugal : Parsimonious :: ? 4331 05b5cc75ce4d2b4197774fc6b
5b5cc75ce4d2b4197774fc6b- 1joy : ecstasytrue
- 2rich : poorfalse
- 3love : hatefalse
- 4poor : miseryfalse
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उत्तर : 1. "joy : ecstasy"
व्याख्या :
Answer: A) joy : ecstasy Explanation: Frugal and parsimonious are synonyms of each other and bear the meaning 'being stingy' or 'sparing'. Similarly, joy and ecstasy are related to happiness.
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 ? 4330 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: Prophet of New India is 4247 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? 4234 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.