IIT JEE Practice Question and Answer

Q: A man can row 8 kmh in still water. If the river is running at 2 kmh, it takes 4 hrs more upstream than to go downstream for the same distance. Then the distance is given by 953 0

  • 1
    54 kms
    Correct
    Wrong
  • 2
    32 kms
    Correct
    Wrong
  • 3
    45 kms
    Correct
    Wrong
  • 4
    60 kms
    Correct
    Wrong
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Answer : 4. "60 kms"
Explanation :

Answer: D) 60 kms Explanation: Let the distance be d.  d8-2-d8+2 = 4   => 2d = 120    => d = 60 kms.

Q: Find the Missing Numbers in the given Number Puzzle ? 953 0

  • 1
    169 & 81
    Correct
    Wrong
  • 2
    67 & 121
    Correct
    Wrong
  • 3
    64 & 115
    Correct
    Wrong
  • 4
    70 & 110
    Correct
    Wrong
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Answer : 1. "169 & 81"
Explanation :

Answer: A) 169 & 81 Explanation: Observe that in each column, square of sum of digits in the first row = Respective second row elements.   In the same way, square of sum of digits in the second row = Respective third row elements.   => 6+42=102=100   => 4+92=132=169   => 8+12=92=81.

Q: According to a report by New World Wealth, which is the richest city in the world 2018? 953 0

  • 1
    Tokyo
    Correct
    Wrong
  • 2
    New York
    Correct
    Wrong
  • 3
    London
    Correct
    Wrong
  • 4
    Paris
    Correct
    Wrong
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Answer : 2. "New York"
Explanation :

Answer: B) New York Explanation: New York City, London, and Tokyo are the richest cities in the world 2018, according to their ranks.

Q: A town having teenagers(boys & girls) of 5000 requires 150 litre of water per head. It has a tank measuring 20 m × 15 m × 5 m. The water of this tank will sufficient for ____ days. 952 0

  • 1
    8
    Correct
    Wrong
  • 2
    6
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    2
    Correct
    Wrong
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Answer : 4. "2"
Explanation :

Answer: D) 2 Explanation: Total Water reqduired = 5000 × 150 lit = 750,000 litres = 750 cu.m.   Volume of tank = 20 × 15 × 5 = 1500 Cu.m.   Number of days required =1500/750 = 2 days.

Q: Brightness of bulb depends on voltage or current? 952 0

  • 1
    Current
    Correct
    Wrong
  • 2
    Voltage
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 3. "Both A & B"
Explanation :

Answer: C) Both A & B Explanation: Brightness of bulb depends on both voltage and current. The brightness depends on power. Since we know that  Power (P) = Voltage x Current = V I So whether you increase the current or the voltage the brightness will increase.   Example Illustration:  If you connect a long bulb and a round bulb in series, the long bulb glows but the round bulb does not. Both of them have the same current flowing through them (they are in series) but the long bulb has a greater voltage across it because it has more resistance (even though V= IR is not obeyed exactly, voltage drop does depend on the resistance). If you connect a round bulb and a long bulb in parallel, however, it is the round bulb that is brighter because now the voltage across both bulbs is the same but the current is larger through the round bulb (smaller resistance).   Hence, the brightness of a bulb depends on power i.e, both voltage and current.

Q: In the given number series which follows the definite rules then find out the value of (M, N, O, and P) in second number series. 7  18  42  94  204 4   M   N    O     P What value will come in place of P? 952 0

  • 1
    179
    Correct
    Wrong
  • 2
    184
    Correct
    Wrong
  • 3
    164
    Correct
    Wrong
  • 4
    156
    Correct
    Wrong
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Answer : 4. "156"
Explanation :

Answer: D) 156 Explanation: Here the given series 7  18  42  94  204 follows a pattern that,  7 7 ×2+4 = 18 18 ×2+6 = 42 42 ×2+10 = 94 94 ×2+16 = 204 Similarly, 4 4 ×2+4 = 12 12 ×2+6 = 30 30 ×2+10 = 70 70 ×2+16 = 156 Hence, the value of P = 156.

Q: Who has won the Nobel prize in "Physics" for the year 2017 ? 952 0

  • 1
    Barry Barish
    Correct
    Wrong
  • 2
    Kip Thorne
    Correct
    Wrong
  • 3
    Rainer Weiss
    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: Rainer Weiss, a professor at the Massachusetts Institute of Technology, and Kip Thorne and Barry Barish, both of the California Institute of Technology, were awarded the Nobel Prize in Physics for the discovery of ripples in space-time known as gravitational waves, which were predicted by Albert Einstein a century ago but had never been directly seen.

Q: To fill 8 vacancies there are 15 candidates of which 5 are from ST. If 3 of the vacancies are reserved for ST candidates while the rest are open to all, Find the number of ways in which the selection can be done ? 951 0

  • 1
    7920
    Correct
    Wrong
  • 2
    74841
    Correct
    Wrong
  • 3
    14874
    Correct
    Wrong
  • 4
    10213
    Correct
    Wrong
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Answer : 1. "7920"
Explanation :

Answer: A) 7920 Explanation: ST candidates vacancies can be filled by C35 ways = 10  Remaining vacancies are 5 that are to be filled by 12  => C512= (12x11x10x9x8)/(5x4x3x2x1) = 792  Total number of filling the vacancies = 10 x 792 = 7920

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