IIT JEE Practice Question and Answer

Q: A boat travels 72 km downstream in 8 hours and 84 km upstream in 12 hours. Find the speed of the boat in still water and the speed of the water current ? 1993 0

  • 1
    9 and 3 kmph
    Correct
    Wrong
  • 2
    6 and 7 kmph
    Correct
    Wrong
  • 3
    8 and 1 kmph
    Correct
    Wrong
  • 4
    7 and 2 kmph
    Correct
    Wrong
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Answer : 3. "8 and 1 kmph"
Explanation :

Answer: C) 8 and 1 kmph Explanation: Downstream speed = 72km/8hrs  = 9 kmphupstream speed = 84km/12hrs = 7 kmphspeed of boat = avg of downstream and upstream speedsspeed of boat = (9+7)/2kmph = 8 kmph.current speed = half of the difference of downstream and upstream speedscurrend speed = (9-7)/2kmph = 1 kmph

Q: If [P @ Q] means [P is wife of Q], [P+Q] means [P is father of Q] and [P - Q] means [P is sister of Q] then in [G+ H - R @ D], how is G related to D ? 1993 0

  • 1
    Son-in-law
    Correct
    Wrong
  • 2
    Grand father
    Correct
    Wrong
  • 3
    Father-in-law
    Correct
    Wrong
  • 4
    Brother
    Correct
    Wrong
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Answer : 3. "Father-in-law"
Explanation :

Answer: C) Father-in-law Explanation: "G is father in law of D"G+H means G is father of HH is either son or daughter of GH-R means H is sister of RR@D means R is wife of Dso H and R are sistersand daughters of Gso husband of R i.e. D is son in law of Gor G is father in law of D

Q: What three statements make up the cell theory? 1992 0

  • 1
    All living things are made up of cells.
    Correct
    Wrong
  • 2
    New cells come frome exisiting cells.
    Correct
    Wrong
  • 3
    Cells are the basic unit of structure/function in living things.
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: The three statements make up the cell theory are::   1. All living things are made up of cells. 2. Cells are the basic unit of structure/function in living things. 3. New cells come frome exisiting cells.   These cells can vary widely, but all living things are composed of cells.

Q: Which property would be classified as expendable? 1992 0

  • 1
    Food given to Army
    Correct
    Wrong
  • 2
    Cement
    Correct
    Wrong
  • 3
    Paint
    Correct
    Wrong
  • 4
    All of the above
    Correct
    Wrong
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Answer : 4. "All of the above"
Explanation :

Answer: D) All of the above Explanation: Expendable properties are those properties that are consume in use or that lose their identity in use. It also include those properties that become an integral part of other property when put to use and those properties which have an expected service life of less than one year.

Q: Primary care physicians are responsible for diagnosis and treatment. 1992 0

  • 1
    TRUE
    Correct
    Wrong
  • 2
    FALSE Answer & Explanation Answer:
    Correct
    Wrong
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Answer : 1. "TRUE"
Explanation :

Answer: A) TRUE Explanation: Primary care physicians or General practitioners (GP) are the one you go first to get a check up, and if they deem that your problem more severe than they can help you, they will send you to a secondary care physicians like specialists in Cardiologists, Neurologists, Dentists, ...   Hence, the given statement, Primary care physicians are responsible for diagnosis and treatment is TRUE.

Q: A problem is given to three students whose chances of solving it are 1/2, 1/3 and 1/4 respectively. What is the probability that the problem will be solved? 1992 0

  • 1
    1/4
    Correct
    Wrong
  • 2
    1/2
    Correct
    Wrong
  • 3
    3/4
    Correct
    Wrong
  • 4
    7/12
    Correct
    Wrong
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Answer : 3. "3/4"
Explanation :

Answer: C) 3/4 Explanation: Let A, B, C be the respective events of solving the problem and A , B, C be the respective events of not solving the problem. Then A, B, C are independent event ∴A, B, C are independent events Now,  P(A) = 1/2 , P(B) = 1/3 and P(C)=1/4  PA=12, PB=23, PC= 34 ∴ P( none  solves the problem) = P(not A) and (not B) and (not C)                     = PA∩B∩C                    = PAPBPC         ∵ A, B, C are Independent                                          =  12×23×34                     = 14   Hence, P(the problem will be solved) = 1 - P(none solves the problem)                  = 1-14= 3/4

Q: K and L start a business jointly. K invests Rs.16000 for 8 months and L remains in the business for 4 months. Out of the total profit L claims 2/7th share. How much money is contributed by L? 1992 0

  • 1
    Rs. 13,204
    Correct
    Wrong
  • 2
    Rs. 14,521
    Correct
    Wrong
  • 3
    Rs. 12,800
    Correct
    Wrong
  • 4
    Rs. 15,000
    Correct
    Wrong
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Answer : 3. "Rs. 12,800"
Explanation :

Answer: C) Rs. 12,800 Explanation: Given share of L is 2/7 th of profit. Then, their profits are divided in to 5:2 ratio. Ratio of K and L is 16000×8x×4=52 x = Rs. 12,800.

Q: From a group of 7 boys and 6 girls, five persons are to be selected to form a team, so that at least 3 girls are there in the team. In how many ways can it be done? 1991 0

  • 1
    427
    Correct
    Wrong
  • 2
    531
    Correct
    Wrong
  • 3
    651
    Correct
    Wrong
  • 4
    714
    Correct
    Wrong
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Answer : 2. "531"
Explanation :

Answer: B) 531 Explanation: Given in the question that, there are 7 boys and 6 girls.  Team members = 5 Now, required number of ways in which a team of 5 having atleast 3 girls in the team =  6C3  x 7C2  + 6C4 x 7C1 + 6C5= 6x5x43x2x1 x 7x62x1 + 6x5x4x34x3x2x1 x 7 + 6x5x4x3x25x4x3x2x1= 420 + 105 + 6= 531.

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