IIT JEE Practice Question and Answer

Q: P is 30% more efficient than Q. How much time will they, working together, take to complete a job which P alone could have done in 23 days? 1690 0

  • 1
    16 days
    Correct
    Wrong
  • 2
    13 days
    Correct
    Wrong
  • 3
    15 days
    Correct
    Wrong
  • 4
    12 days
    Correct
    Wrong
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Answer : 2. "13 days"
Explanation :

Answer: B) 13 days Explanation: Ratio of times taken by P & Q = 100 : 130 = 10:13   Let Q takes x days to do the work Then, 10:13 :: 23:x => x = 23x13/10 => x = 299/10   P's 1 day's work = 1/23 Q's 1 day's work = 10/299 (P+Q)'s 1 day's work = (1/23 + 10/299) = 23/299 = 1/13 Hence, P & Q together can complete the work in 13 days.

Q: How many daughter cells are produced in mitosis? 1690 0

  • 1
    2
    Correct
    Wrong
  • 2
    4
    Correct
    Wrong
  • 3
    8
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "2"
Explanation :

Answer: A) 2 Explanation: In Mitosis, one parent cell divides into 2 daughter cells with identical chromosomal number. However, in Meiosis, one diploid parent cell divides into 4 haploid daughter cells.

Q: 12 men complete a work in 9 days. After they have worked for 6 days, 4 more men join them. How many days will they take to complete the remaining work ? 1689 0

  • 1
    2 days
    Correct
    Wrong
  • 2
    2.5 days
    Correct
    Wrong
  • 3
    2.25 days
    Correct
    Wrong
  • 4
    3 days
    Correct
    Wrong
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Answer : 3. "2.25 days"
Explanation :

Answer: C) 2.25 days Explanation: 1 man's 1 day work = 1/108 12 men's 6 day's work = 1/9 x 6 = 2/3 Remaining work = 1 - 2/3 = 1/3 16 men's 1 day work = 1/108 x 16 = 4/274/27 work is done by them in 1 day. 1/3 work is done by them in 27/4 x 1/3 = 9/4 days.

Q: Which statement best describes an igneous intrusion? 1689 0

  • 1
    Igneous intrusion for when ice crystals splash into lava
    Correct
    Wrong
  • 2
    Magma is injected into surrounding rock forming an igneous intrusive
    Correct
    Wrong
  • 3
    Magma is exported to an open area and forms iron
    Correct
    Wrong
  • 4
    Magma explodes to the surface and forms a smooth outer layer of rock
    Correct
    Wrong
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Answer : 2. "Magma is injected into surrounding rock forming an igneous intrusive"
Explanation :

Answer: B) Magma is injected into surrounding rock forming an igneous intrusive Explanation: Magma is injected into surrounding rock forming an igneous intrusive.   Actually it is a plutonic formation in which magma present beneath Earth surface deforms the shape of rocks present above it

Q: The length of two superfast trains are 140 mts and 160 mts respectively. If they run at the speed of 60 km/hr and 80 km/hr respectively in opposite direction, find the time in which they will cross each other ? 1688 0

  • 1
    7.71 sec
    Correct
    Wrong
  • 2
    10.48 sec
    Correct
    Wrong
  • 3
    9.36 sec
    Correct
    Wrong
  • 4
    8.45 sec
    Correct
    Wrong
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Answer : 1. "7.71 sec"
Explanation :

Answer: A) 7.71 sec Explanation: Given L1 = 140 m L2 = 160 m S1 = 60 km/hr S2 = 80 km/hr From the question we get, S1 + S2 = (L1 + L2) / T => (60 + 80) 5/18 m/s = 140 + 160/T => T = 54/7 = 7.71 sec

Q: What is the maximum velocity with which a body of mass 'm' must enter a vertical loop of radius 'R'so that it can complete the loop? 1688 0

  • 1
    0
    Correct
    Wrong
  • 2
    gR
    Correct
    Wrong
  • 3
    2gR
    Correct
    Wrong
  • 4
    5gR
    Correct
    Wrong
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Answer : 4. "5gR"
Explanation :

Answer: D) D Explanation: To complete the vertical loop, the minimum speed required at the lowest point  = 5gR.

Q: What will come in place of the question mark (?) in the following number series? 5, 7, ?, 25, 45, 75 1687 0

  • 1
    11
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    15
    Correct
    Wrong
  • 4
    19
    Correct
    Wrong
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Answer : 2. "13"
Explanation :

Answer: B) 13 Explanation: The series given follow the pattern   +2, +2+4, +2+4+6, +2+4+6+8, +2+4+6+8+10,...   Here ? = 7 + 2 + 4 = 13.

Q: The interstate commerce act of 1887 required 1687 0

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Answer :
Explanation :

The Interstate Commerce Act of 1887 is a United States federal law that was designed to regulate the railroad industry, particularly its monopolistic practices.   The reason that the Interstate Commerce Act required that rates be published was to avoid secret rebates and similar deals. Until then, big shippers would demand rebates from railroads, which would in effect reduce their shipping costs without letting competitors know. This is anti-competitive. Hence, the Act required that railroad rates be "reasonable and just," but did not empower the government to fix specific rates.

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