IIT JEE Practice Question and Answer
8Q: 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 05b5cc745e4d2b4197774fa1d
5b5cc745e4d2b4197774fa1d- 18/15false
- 27/15true
- 31/15false
- 44/15false
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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 15b5cc7d0e4d2b41977751204
5b5cc7d0e4d2b41977751204- 1-1false
- 20true
- 31/2false
- 41false
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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 05b5cc62ce4d2b4197774b93e
5b5cc62ce4d2b4197774b93e- 1After you eat, insulin stimulates the lowering of blood sugar levels.true
- 2Once labor begins, contractions increase in frequency and intensity.false
- 3After you eat, glucagon stimulates an increase in blood sugar levels.false
- 4As a blood clot begins to form, the process of its formation gets faster and faster.false
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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 05b5cc6b6e4d2b4197774d57d
5b5cc6b6e4d2b4197774d57d- 1Andhra Pradesh, Jharkand, Bihartrue
- 2Bihar, Gujarat, Telanganafalse
- 3Andhra Pradesh, Karnataka, Jharkandfalse
- 4Telangana, Andhra Pradesh, Biharfalse
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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 05b5cc64ae4d2b4197774bc30
5b5cc64ae4d2b4197774bc30- 1Main asteroid beltfalse
- 2Oort cloudfalse
- 3Kuiper belttrue
- 4None of the abovefalse
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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 05b5cc694e4d2b4197774c4d5
5b5cc694e4d2b4197774c4d5- 1Specific hormones breakdown proteins into simple sugarsfalse
- 2Specific enzymes breakdown proteins into simple sugarsfalse
- 3Specific hormones breakdown proteins into complex starchesfalse
- 4Specific enzymes breakdown proteins into amino acidstrue
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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 05b5cc745e4d2b4197774fa54
5b5cc745e4d2b4197774fa54- 164false
- 269false
- 371true
- 458false
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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 05b5cc7d1e4d2b41977751286
5b5cc7d1e4d2b41977751286- 1123false
- 2113false
- 3246true
- 4945false
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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

