IIT JEE Practice Question and Answer

Q: The depth of a complete binary tree is given by 2088 0

  • 1
    Dn = log 2 (n+1)
    Correct
    Wrong
  • 2
    Dn = log 1/2 (n+1)
    Correct
    Wrong
  • 3
    Dn = log (n+1)
    Correct
    Wrong
  • 4
    Dn = log 2 (n-1)
    Correct
    Wrong
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Answer : 1. "Dn = log 2 (n+1)"
Explanation :

Answer: A) Dn = log 2 (n+1) Explanation: A complete binary tree is a binary tree where all the levels have maximum number of nodes except possibly the last level.   The depth of complete binary tree of n nodes will be Dn=log 2 (n+1) where Dn is the height or depth of the tree and n is the number of nodes.

Q: Crack the series missing Number Puzzle ? 2087 0

  • 1
    330
    Correct
    Wrong
  • 2
    253
    Correct
    Wrong
  • 3
    221
    Correct
    Wrong
  • 4
    363
    Correct
    Wrong
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Answer : 4. "363"
Explanation :

Answer: D) 363 Explanation: The given numbers in the series follows a pattern that, 3 (3 x 3) + 3 = 12 (12 x 3) + 3 = 39 (39 x 3) + 3 = 120 (120 x 3) + 3 = 363.

Q: A single pipe of diameter x has to be replaced by six pipes of diameters 12 cm each. The pipes are used to covey some liquid in a laboratory. If the speed/flow of the liquid is maintained the same then the value of x is ? 2087 0

  • 1
    14.69 cm
    Correct
    Wrong
  • 2
    29.39 cm
    Correct
    Wrong
  • 3
    18.65 cm
    Correct
    Wrong
  • 4
    22.21 cm
    Correct
    Wrong
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Answer : 2. "29.39 cm"
Explanation :

Answer: B) 29.39 cm Explanation: Volume of water flowing through 1 pipe of diameter x = Volume discharged by 6 pipes of diameter 12 cms.   As speed is same, area of cross sections should be same.    Area of bigger pipe of diameter x = Total area of 6 smaller pipes of diameter 12  i.e πR2 = 6πR12    Here R = R and R1 = 12/2 = 6    ⇒R2 = 6×6×6    R = 14.696    => D = X = 14.696 * 2 = 29.3938 cm.

Q: Monoculture is a typical characteristics of 2086 0

  • 1
    Specialized horticulture
    Correct
    Wrong
  • 2
    Commercial grain farming
    Correct
    Wrong
  • 3
    Shifting cultivation
    Correct
    Wrong
  • 4
    Subsitence farming
    Correct
    Wrong
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Answer : 2. "Commercial grain farming"
Explanation :

Answer: B) Commercial grain farming Explanation: Monoculture is a typical characteristics of Commercial grain farming. Monoculture is the agricultural practice of producing or growing a single crop, plant, or livestock species, variety, or breed in a field or farming system at a time focussing commercial gains. Monoculture is widely used in both industrial farming and organic farming and has allowed increased efficiency in planting and harvest. Polyculture, where more than one crop is grown in the same space at the same time, is the alternative to monoculture.

Q: What color is Lobster blood? 2086 0

  • 1
    Blue
    Correct
    Wrong
  • 2
    White
    Correct
    Wrong
  • 3
    Red
    Correct
    Wrong
  • 4
    Colourless
    Correct
    Wrong
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Answer : 1. "Blue"
Explanation :

Answer: A) Blue Explanation: Lobsters, like snails and spiders, have blue blood due to the presence of hemocyanin, which contains copper. In contrast, vertebrates and many other animals have red blood from iron-rich hemoglobin.

Q: Math Challenge 2086 0

  • 1
    7
    Correct
    Wrong
  • 2
    44
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    33
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: Let the required number be 'N' given that its quarter i.e; N/4 exceeds its double i.e, 2N by 7 => N/4 + 7 = 2N => N + 28 = 8N 7N = 28 N = 4.

Q: Which city has become the first Indian city to have its own logo? 2085 0

  • 1
    Bengaluru
    Correct
    Wrong
  • 2
    Hyderabad
    Correct
    Wrong
  • 3
    New Delhi
    Correct
    Wrong
  • 4
    Gujarat
    Correct
    Wrong
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Answer : 1. "Bengaluru"
Explanation :

Answer: A) Bengaluru Explanation: Bengaluru becomes the first Indian city to get its very own logo Much like New York and Singapore, Bengaluru is set to get its own logo, becoming the first Indian city to do so.

Q: Covalent bonds hold atoms together because they 2084 0

  • 1
    fill shells without giving atoms much charge
    Correct
    Wrong
  • 2
    bring electrons closer to protons
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    use forces between nuclei as well as forces between electrons
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: Covalent bonds hold atoms together because the attraction between the positively charged nuclei and the negatively charged shared electrons is greater than the repulsions between the nuclei themselves.

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