IIT JEE Practice Question and Answer

Q: Out of sixty students, there are 14 who are taking Economics and 29 who are taking Calculus. What is the probability that a randomly chosen student from this group is taking only the Calculus class ? 1847 0

  • 1
    8/15
    Correct
    Wrong
  • 2
    7/15
    Correct
    Wrong
  • 3
    1/15
    Correct
    Wrong
  • 4
    4/15
    Correct
    Wrong
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Answer : 2. "7/15"
Explanation :

Answer: B) 7/15 Explanation: Given total students in the class = 60Students who are taking Economics = 24 andStudents who are taking Calculus = 32Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4Students who are taking calculus only = 32 - 4 = 28probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

Q: The Value of  logtan10+logtan20+⋯⋯+logtan890 is 1846 1

  • 1
    -1
    Correct
    Wrong
  • 2
    0
    Correct
    Wrong
  • 3
    1/2
    Correct
    Wrong
  • 4
    1
    Correct
    Wrong
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Answer : 2. "0"
Explanation :

Answer: B) 0 Explanation: = log tan10+log tan890 + log tan20+ log tan880+⋯⋯+log tan450     = log [tan10 × tan890] + log [tan20 × tan880 ] +⋯⋯+log1     ∵ tan(90-θ)=cotθ and tan 450=1     = log 1 + log 1 +.....+log 1    = 0.

Q: Which of these is an example of negative feedback? 1846 0

  • 1
    After you eat, insulin stimulates the lowering of blood sugar levels.
    Correct
    Wrong
  • 2
    Once labor begins, contractions increase in frequency and intensity.
    Correct
    Wrong
  • 3
    After you eat, glucagon stimulates an increase in blood sugar levels.
    Correct
    Wrong
  • 4
    As a blood clot begins to form, the process of its formation gets faster and faster.
    Correct
    Wrong
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Answer : 1. "After you eat, insulin stimulates the lowering of blood sugar levels."
Explanation :

Answer: A) After you eat, insulin stimulates the lowering of blood sugar levels. Explanation: Eating raises blood sugar levels, insulin stimulates the lowering of blood sugar level. In this example the response to the stimulus (increased blood sugar levels) opposes that stimulus (by lowering blood sugar levels).

Q: Mica is available abundantly in 1845 0

  • 1
    Andhra Pradesh, Jharkand, Bihar
    Correct
    Wrong
  • 2
    Bihar, Gujarat, Telangana
    Correct
    Wrong
  • 3
    Andhra Pradesh, Karnataka, Jharkand
    Correct
    Wrong
  • 4
    Telangana, Andhra Pradesh, Bihar
    Correct
    Wrong
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Answer : 1. "Andhra Pradesh, Jharkand, Bihar"
Explanation :

Answer: A) Andhra Pradesh, Jharkand, Bihar Explanation: According to 2005 - 2006 census - Jharkand According to 2011 - 2012 census - Andhra Pradesh   are the highest producers of Mica in India.

Q: Pluto dwells on the inner edge of the 1845 0

  • 1
    Main asteroid belt
    Correct
    Wrong
  • 2
    Oort cloud
    Correct
    Wrong
  • 3
    Kuiper belt
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 3. "Kuiper belt"
Explanation :

Answer: C) Kuiper belt Explanation: Pluto dwells on the inner edge of the The Kuiper belt which is a belt of asteroids that lies on the outer edge of the solar system. Pluto is a dwarf planet that is supposed to be no longer a planet and is still considered a planet because of its history in the solar system.   It takes 248 years to make one orbit around the sun. As to where it is, depends on time.

Q: What occurs during the digestion of protein? 1845 0

  • 1
    Specific hormones breakdown proteins into simple sugars
    Correct
    Wrong
  • 2
    Specific enzymes breakdown proteins into simple sugars
    Correct
    Wrong
  • 3
    Specific hormones breakdown proteins into complex starches
    Correct
    Wrong
  • 4
    Specific enzymes breakdown proteins into amino acids
    Correct
    Wrong
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Answer : 4. "Specific enzymes breakdown proteins into amino acids"
Explanation :

Answer: D) Specific enzymes breakdown proteins into amino acids Explanation: Protein digestion occurs in the stomach and duodenum in which 3 main enzymes:   1. Pepsin secreted by the stomach  2. Trypsin and 3. Chymotrypsin secreted by the pancreas   Break down food proteins into polypeptides that are then broken down by various exopeptidases and dipeptidases into amino acids.

Q: Find the greatest number that will divide 964, 1238 and 1400 leaving remainder of 41,31 and 51 respectively ? 1845 0

  • 1
    64
    Correct
    Wrong
  • 2
    69
    Correct
    Wrong
  • 3
    71
    Correct
    Wrong
  • 4
    58
    Correct
    Wrong
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Answer : 3. "71"
Explanation :

Answer: C) 71 Explanation: To find the greatest number which divides the numbers 964, 1238 and 1400 leaving the remainders 41, 31 and 51 is nothing but the HCF of (964 - 41), (1238 - 31), (1400 - 51). Therefore, HCF of 923, 1207 and 1349 is 71.

Q: A Committee of 5 persons is to be formed from a group of 6 gentlemen and 4 ladies. In how many ways can this be done if the committee is to be included atleast one lady? 1844 0

  • 1
    123
    Correct
    Wrong
  • 2
    113
    Correct
    Wrong
  • 3
    246
    Correct
    Wrong
  • 4
    945
    Correct
    Wrong
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Answer : 3. "246"
Explanation :

Answer: C) 246 Explanation: A Committee of 5 persons is to be formed from 6 gentlemen and 4 ladies by taking.    (i) 1 lady out of 4 and 4 gentlemen out of 6  (ii) 2 ladies out of 4 and 3 gentlemen out of 6  (iii) 3 ladies out of 4 and 2 gentlemen out of 6  (iv) 4 ladies out of 4 and 1 gentlemen out of 6    In case I the number of ways = C14×C46 = 4 x 15 = 60  In case II the number of ways = C24×C36 = 6 x 20 = 120  In case III the number of ways = C34×C26 = 4 x 15 = 60 In case IV the number of ways = C44×C16 = 1 x 6 = 6    Hence, the required number of ways = 60 + 120 + 60 + 6 = 246

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