IIT JEE प्रश्न और उत्तर का अभ्यास करें

प्र: 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
    सही
    गलत
  • 2
    6 and 7 kmph
    सही
    गलत
  • 3
    8 and 1 kmph
    सही
    गलत
  • 4
    7 and 2 kmph
    सही
    गलत
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उत्तर : 3. "8 and 1 kmph"
व्याख्या :

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

प्र: 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
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    गलत
  • 2
    Grand father
    सही
    गलत
  • 3
    Father-in-law
    सही
    गलत
  • 4
    Brother
    सही
    गलत
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उत्तर : 3. "Father-in-law"
व्याख्या :

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

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

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

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.

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

  • 1
    Food given to Army
    सही
    गलत
  • 2
    Cement
    सही
    गलत
  • 3
    Paint
    सही
    गलत
  • 4
    All of the above
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उत्तर : 4. "All of the above"
व्याख्या :

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.

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

  • 1
    TRUE
    सही
    गलत
  • 2
    FALSE Answer & Explanation Answer:
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उत्तर : 1. "TRUE"
व्याख्या :

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.

प्र: 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
    सही
    गलत
  • 2
    1/2
    सही
    गलत
  • 3
    3/4
    सही
    गलत
  • 4
    7/12
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    गलत
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उत्तर : 3. "3/4"
व्याख्या :

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

प्र: 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
    सही
    गलत
  • 2
    Rs. 14,521
    सही
    गलत
  • 3
    Rs. 12,800
    सही
    गलत
  • 4
    Rs. 15,000
    सही
    गलत
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उत्तर : 3. "Rs. 12,800"
व्याख्या :

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.

प्र: 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
    सही
    गलत
  • 2
    531
    सही
    गलत
  • 3
    651
    सही
    गलत
  • 4
    714
    सही
    गलत
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उत्तर : 2. "531"
व्याख्या :

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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