IIT JEE Practice Question and Answer

Q: If there are 150 questions in a 3 hr examination. Among these questions 50 are type A problems, which requires twice as much as time be spent on the rest of the type B problems. How many minutes should be spent on type A problems ? 3549 0

  • 1
    75 min
    Correct
    Wrong
  • 2
    82 min
    Correct
    Wrong
  • 3
    90 min
    Correct
    Wrong
  • 4
    101 min
    Correct
    Wrong
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Answer : 3. "90 min"
Explanation :

Answer: C) 90 min Explanation: Let X = Time taken for each of Type B Problems(100 Problems)And 2X = Time taken for each of Type A problems(50 problems) Total time period = 3hrs = 3 x 60min = 180 minutes 100X + 50(2X) = 180100X + 100X = 180200X = 180 min X = 180/200X = 0.90 min By convertiing into seconds, X = 0.90 x 60 secondsX = 54 sec So, time taken for Part A problems is = 54 x 2 x 50 = 5400 seconds= 5400/60sec = 90 minutes.

Q: A person starting with 64 rupees and making 6 bets, wins three times and loses three times, the wins and loses occurring in random order. The chance for a win is equal to the chance for a loss. If each wager is for half the money remaining at the time of the bet, then the final result is: 3544 0

  • 1
    A gain of Rs. 27
    Correct
    Wrong
  • 2
    A loss of Rs. 37
    Correct
    Wrong
  • 3
    A loss of Rs. 27
    Correct
    Wrong
  • 4
    A gain of Rs. 37
    Correct
    Wrong
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Answer : 2. "A loss of Rs. 37"
Explanation :

Answer: B) A loss of Rs. 37 Explanation: As the win leads to multiplying the amount by 1.5 and loss leads to multiplying the amount by 0.5, we will multiply the initial amount by 1.5 thrice and by 0.5 thrice (in any order). The overall resultant will remain same. So final amount with the person will be (in all cases): = 64(1.5)(1.5)(1.5)(0.5)(0.5)(0.5)= Rs. 27 Hence the final result is:  64 − 27 = 37 A loss of Rs.37

Q: Two solutions have milk & water in the ratio 7:5 and 6:11. Find the proportion in which these two solutions should Be mixed so that the resulting solution has 1 part milk and 2 parts water ? 3536 0

  • 1
    7 : 12
    Correct
    Wrong
  • 2
    8 : 13
    Correct
    Wrong
  • 3
    9 : 4
    Correct
    Wrong
  • 4
    2 : 5
    Correct
    Wrong
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Answer : 2. "8 : 13"
Explanation :

Answer: B) 8 : 13 Explanation: To get the solution that contains 1 part of milk and two parts of water,they must be mixed in the ratio as7x+6x/5y+11y = 1/226x = 16yx/y = 16/26x/y = 8/13

Q: Ezra cup is associated with which sports? 3533 0

  • 1
    Hockey
    Correct
    Wrong
  • 2
    Polo
    Correct
    Wrong
  • 3
    Rowing
    Correct
    Wrong
  • 4
    Football
    Correct
    Wrong
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Answer : 2. "Polo"
Explanation :

Answer: B) Polo Explanation: The Ezra Cup is a popular polo tournament conducted annually in India. The Calcutta Polo Club runs this oldest and first ever Polo Trophy. The first Ezra Cup was held in 1880. After a period of inactivity, it has now been revived by Mr. Keshav Bangur, Calcutta Polo Club's president.

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Answer : 4. "E = 4 & Y = 2"
Explanation :

Answer: D) E = 4 & Y = 2 Explanation: Let the the age of the elder boy = E   Let the the age of the younger boy = Y   Given that Y = cube root of EY   => Y3 = EY => E = Y2 .....(1)By the condition of number replacement the age of the father is YE   The Mother's age = EY/2   But she is 3 years less than father => EY/2 + 3 = YE2YE = EY + 6 ......(2)   Then now from the given options we can identify which satisfies the all the conditions.   Here Y =2 and E = 4 satisfies all the conditions.

Q: Find out which part of a sentence has an error and mark the answer corresponding to the appropriate letter (A, B, C). If a sentence is free from errors, mark (D) as the answer. He flew( 3490 0

  • 1
    / over extensively(
    Correct
    Wrong
  • 2
    C). If a sentence is free from errors, mark (D) as the answer. He flew(A) / over extensively(B)
    Correct
    Wrong
  • 3
    . If a sentence is free from errors, mark (
    Correct
    Wrong
  • 4
    as the answer. He flew(A) / over extensively(B) / the pacific last winter(C) / No error(D)
    Correct
    Wrong
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Answer : 2. "C). If a sentence is free from errors, mark (D) as the answer. He flew(A) / over extensively(B)"
Explanation :

Answer: B) B Explanation: 'Extensively' is describing the verb 'flew' and should be placed after the verb and thus the correct phrase should be 'extensively over'. The error is in the second part of the sentence.

Q: Which of the following is not an allotrope of carbon? 3481 0

  • 1
    Diamond
    Correct
    Wrong
  • 2
    Graphene
    Correct
    Wrong
  • 3
    Ethylene
    Correct
    Wrong
  • 4
    Buckminsterfullerene
    Correct
    Wrong
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Answer : 3. "Ethylene"
Explanation :

Answer: C) Ethylene Explanation: Allotropes are different structural modifications of an element, that is, each of two or more different physical forms in which an element can exist.   Carbon is capable of forming many allotropes due to its valency. Well-known forms of carbon include charcoal, diamond, graphite, buckminsterfullerene and graphene.   Hence, Ethylene is not an allotrope of Carbon.

Q: एक्सेल वर्तमान सेल पता प्रदर्शित करता है 3478 0

  • 1
    टाइटल बार
    Correct
    Wrong
  • 2
    नेम बॉक्स
    Correct
    Wrong
  • 3
    स्टेटस बार
    Correct
    Wrong
  • 4
    फार्मूला बार
    Correct
    Wrong
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Answer : 2. "नेम बॉक्स"
Explanation :

Answer: B) Name Box Explanation:

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