IIT JEE Practice Question and Answer

Q: The number of ways that 7 teachers and 6 students can sit around a table so that no two students are together is 1502 0

  • 1
    7! x 7!
    Correct
    Wrong
  • 2
    7! x 6!
    Correct
    Wrong
  • 3
    6! x 6!
    Correct
    Wrong
  • 4
    7! x 5!
    Correct
    Wrong
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Answer : 2. "7! x 6!"
Explanation :

Answer: B) 7! x 6! Explanation: The students should sit in between two teachers. There are 7 gaps in between teachers when they sit in a roundtable. This can be done in 7P6ways. 7 teachers can sit in (7-1)! ways.    Required no.of ways is = 7P6.6! = 7!.6!

Q: Which of the following is an example of market failure? 1502 0

  • 1
    Prices do not reflect the full social cost of production
    Correct
    Wrong
  • 2
    A firm goes out of business because it cannot find a market for its products
    Correct
    Wrong
  • 3
    Prices rise so that the consumers cannot afford the products they want to buy
    Correct
    Wrong
  • 4
    Producer surplus is maximized
    Correct
    Wrong
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Answer : 1. "Prices do not reflect the full social cost of production"
Explanation :

Answer: A) Prices do not reflect the full social cost of production Explanation: Prices do not reflect the full social cost of production is an example of Market failure.   A market failure occurs when the supply of a good or service is insufficient to meet demand. This results in an inefficient distribution of resources among market participants. It also occurs if externalities are not accounted for. If a firm fails to maximize its profits this is not a general market failure.

Q: In a confederal system of government, power is 1501 0

  • 1
    with States
    Correct
    Wrong
  • 2
    with Central
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "with States"
Explanation :

Answer: A) with States Explanation: Government can be classified in three manners: (1) who participates, (2) geographic distribution of power, and (3) legislative/executive relationship.   Who can participate is generally broken down into two forms of government, democracy or dictatorship   While the legislative/executive relationship is broken down into presidential or parliamentary   The geographic distribution of power is broken down into unitary, federal, and confederation (confederal). Confederal System of Government :: A system of government where power is located with the independent states and there is little power in the central government.   Today, no nation follows a confederal system. Organizations, like the European Union and the Commonwealth of Independent States, are based on the ideas of a confederal system. Several nations make up these organizations, but they still retain the majority of their independence.

Q: A man walks at a speed of 2 km/hr and runs at a speed of 6 km/hr. How much time will the man require to cover a distance of 20 1/2 km, if he completes half of the distance, i.e., (10 1/4) km on foot and the other half by running ? 1501 0

  • 1
    12.4 hrs
    Correct
    Wrong
  • 2
    11.9 hrs
    Correct
    Wrong
  • 3
    10.7 hrs
    Correct
    Wrong
  • 4
    9.9 hrs
    Correct
    Wrong
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Answer : 2. "11.9 hrs"
Explanation :

Answer: B) 11.9 hrs Explanation: We know that Time = Distance/speedRequired time = (10 1/4)/2 + (10 1/4)/6 = 41/8 + 41/6= 287/24 = 11.9 hours.

Q: In a certain office, 1/3 of workers are women, 1/2 of the women are married and 1/3 of the married women have children. If 3/4  of the men are married and 2/3  of the married men have children, what part of the workers are without children? 1501 0

  • 1
    5/18
    Correct
    Wrong
  • 2
    4/9
    Correct
    Wrong
  • 3
    11/18
    Correct
    Wrong
  • 4
    17/36
    Correct
    Wrong
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Answer : 3. "11/18"
Explanation :

Answer: C) 11/18 Explanation: Let the total number of workers be x. Then,    Number of women = x/3 and number of men = x - x/3  = 2x/3   Number of women having children = x/18   Number of men having children = x/3   Number of workers having children = (x/18) + (x/3) = 7x/18    Therefore, workers having no children = x - 7x/18 = 11/18 of all workers.

Q: Which of the following is not a plantation crop? 1501 0

  • 1
    rubber
    Correct
    Wrong
  • 2
    coffee
    Correct
    Wrong
  • 3
    gram
    Correct
    Wrong
  • 4
    coconut
    Correct
    Wrong
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Answer : 3. "gram"
Explanation :

Answer: C) gram Explanation: Gram is not a Plantation crop among the given options.   Plantation crops are known as cash crops. These crops are mostly grown at tropical and subtropical areas. These crops are grown for sale but not for local consumption. such crops include rubber, coffee, tea, various oil seeds, sugar cane,etc. So, Gram is not a plantation crop.

Q: Find the Missing Number Puzzle for the Given 1501 0

  • 1
    8
    Correct
    Wrong
  • 2
    16
    Correct
    Wrong
  • 3
    9
    Correct
    Wrong
  • 4
    12
    Correct
    Wrong
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Answer : 3. "9"
Explanation :

Answer: C) 9 Explanation: Given   6 = 3 => Number of letters in SIX = 3   12 = 6 => Number of letters in TWELVE = 6   14 = 8 => Number of letters in FOURTEEN = 8   Similarly,   22 = 9 => Number of letters in TWENTY TWO = 9           Therefore, 22 = 9.

Q: What animal has the highest blood pressure? 1500 0

  • 1
    Elephant
    Correct
    Wrong
  • 2
    Giraffe
    Correct
    Wrong
  • 3
    Lion
    Correct
    Wrong
  • 4
    Rabbit
    Correct
    Wrong
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Answer : 2. "Giraffe"
Explanation :

Answer: B) Giraffe Explanation: Giraffe has the highest blood pressure among animals.  This is due to the fact that there is a large pressure drop (~100 mmhg) as the blood is transported from the heart, up the neck, to the brain. This is about twice the normal blood pressure of humans (120/80 mmhg).

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