IIT JEE Practice Question and Answer

Q: A room contains 3 brown, 5 black and 4 white chairs. Two chairs are picked and are put in the lawn. What is the probability that none of the chairs picked is white ? 1728 0

  • 1
    14/33
    Correct
    Wrong
  • 2
    14/55
    Correct
    Wrong
  • 3
    12/55
    Correct
    Wrong
  • 4
    13/33
    Correct
    Wrong
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Answer : 1. "14/33"
Explanation :

Answer: A) 14/33 Explanation: Total number of chairs = (3 + 5 + 4) = 12. Let S be the sample space. Then, n(s)= Number of ways of picking 2 chairs out of 12 =┬а12├Ч11/2├Ч1┬а=┬а66 Let n(E) = number of events of selecting 2 chairs for selecting no white┬аchairs. =>┬а8C2┬а=┬а8├Ч7/2├Ч1┬а=┬а28 Therefore required probability = 28/66 = 14/33.

Q: What country did we fight during the Revolutionary War? 1728 0

  • 1
    Pakistan
    Correct
    Wrong
  • 2
    United States of America
    Correct
    Wrong
  • 3
    England
    Correct
    Wrong
  • 4
    Germany
    Correct
    Wrong
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Answer : 3. "England"
Explanation :

Answer: C) England Explanation: We fought against England in the Revolutionary War for Independence from the British rule.

Q: Find the next two numbers in the sequence 4, 12, 6, 18, 12, 26, 30, ?, ? 1728 0

  • 1
    36 & 90
    Correct
    Wrong
  • 2
    90 & 41
    Correct
    Wrong
  • 3
    45 & 36
    Correct
    Wrong
  • 4
    41 & 36
    Correct
    Wrong
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Answer : 1. "36 & 90"
Explanation :

Answer: A) 36 & 90 Explanation: the next 2 number in series we need to divide the series into 2 different series First series : 4 , 6, 12, 30 ?? Second Series : 12,18,26, ?? So we need to see for the pattern for those series in order to find the next two number , we can do this by finding the difference or division , multiplication logic whatever may apply : ┬а Pattern of Series 1 : ┬а 6 divide 4 : 1.5 Next number i.e 12 divided by 6=2 Next number i.e 30 divided by 12 =2.5 So series is going in multiples of 1.5, 2, 2.5, 3 , so on So first series will look like 4 , 6, 12, 30, 30x3 =90 ┬а Pattern of Series 2 : 12,18,26, ?? ┬а Its simple Adding numbers with iterative logic (i.e 6, 8, then followed by 10, 12) Series will be like 12,18,26,36. ┬а For the next two numbers : Series will be like┬а4, 12, 6, 18, 12, 26, 30, 36, 90

Q: Artificial port of India is? 1728 0

  • 1
    Haldia
    Correct
    Wrong
  • 2
    Chennai or Madras
    Correct
    Wrong
  • 3
    Mangalore
    Correct
    Wrong
  • 4
    Kandla
    Correct
    Wrong
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Answer : 2. "Chennai or Madras"
Explanation :

Answer: B) Chennai or Madras Explanation: Chennai port is known for its Coastal breakwater, artificial, large seaport type of harbor. Chennai Port, formerly known as Madras Port, is the second largest container port of India, behind the Nhava Sheva Port, and the largest port in the Bay of Bengal. It is the third oldest port among the 13 major ports of India

Q: What is common between Aerobic and Anaerobic Respiration? 1727 0

  • 1
    Krebs cycle
    Correct
    Wrong
  • 2
    Glycolysis
    Correct
    Wrong
  • 3
    Electron transport chain
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 2. "Glycolysis"
Explanation :

Answer: B) Glycolysis Explanation: Glycolysis is┬аcommon between Aerobic and Anaerobic Respiration. ┬а Cellular respiration is the process by which glucose is broken down to form ATP molecules, which act as carriers of cellular energy. The first phase is called glycolysis and is common to both aerobic (respiration in the presence of oxygen) and anaerobic (respiration in the absence of oxygen) respiration. ┬а During glycolysis, glucose is split to forms two pyruvate molecules and 2 molecules of ATP. This occurs in the cytoplasm of the cell. ┬а If oxygen in present, the pyruvate molecules will be used in the Krebs cycle, to yield more ATP molecules. If oxygen is absent, the pyruvate is converted into lactic acid, or ethanol and carbon dioxide, in animals or plants, respectively.

Q: Math Logic Challenge 1727 0

  • 1
    23
    Correct
    Wrong
  • 2
    26
    Correct
    Wrong
  • 3
    13
    Correct
    Wrong
  • 4
    29
    Correct
    Wrong
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Answer : 2. "26"
Explanation :

Answer: B) 26 Explanation: Let the integer be x. Then, ┬аx2-20x┬а=┬а156 ┬а (x + 6)(x - 26) = 0 ┬а x = 26 ┬а The integer is 26.

Q: To buy goods on credit means to 1726 0

  • 1
    promise to pay for goods later.
    Correct
    Wrong
  • 2
    pay only a discount price.
    Correct
    Wrong
  • 3
    promise to pay only a sale price.
    Correct
    Wrong
  • 4
    pay cash for goods.
    Correct
    Wrong
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Answer : 1. "promise to pay for goods later."
Explanation :

Answer: A) promise to pay for goods later. Explanation: If as a business, you buy goods or services on credit from a supplier (accounts payable) then the supplier will supply the goods and business will incur a liability to the supplier for that amount, but no cash will change hands at that stage. Some of those shop keepers allowed regular "trustworthy" customers to purchase items without having the full payment. Hence,┬аBuying on credit means that no actual money has changed hands.

Q: How many bottles of water is a gallon? 1726 0

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

Answer: B) 8 Explanation: The easiest way would measure it through half a liter water bottle. There are approximately 16.9 ounces(oz) of water in a 500ml water bottle. ┬а Gallon is an imperial customary volume unit for the U.S. ┬а As we have previously mentioned, the 16.9oz bottle is also known as 500ml in the metric system. According to U.S. standard, 1 gallon stands for 128 fluid oz. ┬а Hence, Number of bottles in 1 gallon = 128/16.9 = 7.57 =~ 8.

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