IIT JEE Practice Question and Answer
8Q: 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 ? 4365 05b5cc6dae4d2b4197774e8d7
5b5cc6dae4d2b4197774e8d7- 13/17false
- 24/21false
- 32/21true
- 45/17false
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Answer : 3. "2/21"
Explanation :
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
Q: 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? 4360 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: Prophet of New India is 4318 05b5cc6b2e4d2b4197774d38d
5b5cc6b2e4d2b4197774d38d- 1Dayanand Saraswathifalse
- 2Sri Ramakrishnatrue
- 3Swamy Vivekanandafalse
- 4Raja Ram Mohan Royfalse
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Answer : 2. "Sri Ramakrishna"
Explanation :
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.
Q: "Kargil Vijay Diwas" was observed on _____. 4296 05b5cc6cae4d2b4197774e054
5b5cc6cae4d2b4197774e054- 126 Julytrue
- 227 Julyfalse
- 325 Julyfalse
- 429 Julyfalse
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Answer : 1. "26 July"
Explanation :
Answer: A) 26 July Explanation:
Q: The Ozone Layer restricts from 4282 05b5cc6b7e4d2b4197774d633
5b5cc6b7e4d2b4197774d633- 1Infrared Raysfalse
- 2Radio wavesfalse
- 3Ultraviolet Radiationtrue
- 4X-Rays and Gamma Raysfalse
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Answer : 3. "Ultraviolet Radiation"
Explanation :
Answer: C) Ultraviolet Radiation Explanation: The Ozone layer which is present in the Earth's atmosphere protects it by restricting from UV or Ultraviolet radiation, the dangerous rays contained by Sun.
Q: In India, planned economy is based on 4278 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: A and B runs around a circular track. A beats B by one round or 10 minutes. In this race, they had completed 4 rounds. If the race was only of one round, find the A's time over the course: 4276 05b5cc7d0e4d2b419777511e0
5b5cc7d0e4d2b419777511e0- 18 minfalse
- 27.5 mintrue
- 312.5 minfalse
- 412 minfalse
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Answer : 2. "7.5 min"
Explanation :
Answer: B) 7.5 min Explanation: B runs around the track in 10 min. i.e , Speed of B = 10 min per round Therefore, A beats B by 1 round Time taken by A to complete 4 rounds = Time taken by B to complete 3 rounds = 30 min Therefore, A's speed = 30/4 min per round = 7.5 min per round Hence, if the race is only of one round A's time over the course = 7 min 30 sec
Q: What is the saddest fruit? 4273 05b5cc658e4d2b4197774bdc7
5b5cc658e4d2b4197774bdc7- 1Blackberriesfalse
- 2Strawberriesfalse
- 3Blueberriestrue
- 4Pineapplesfalse
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Answer : 3. "Blueberries"
Explanation :
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.