IIT JEE Practice Question and Answer

Q: In what ratio must a merchant mix two varieties of oils worth Rs. 60/kg and Rs. 65/kg, so that by selling the mixture at Rs. 68.20/kg, he may gain 10% ? 1635 0

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

Answer: D) 3:2 Explanation: Let he mixes the oils in the ratio = x : y Then, the cost price of the oils = 60x + 65y Given selling price = Rs. 68.20 => Selling price = 68.20(x+y) Given profit = 10% = SP - CP => 10/100 (60x + 65y) = 68.20(x+y)-(60x + 65y) => 6x + 6.5y = 8.20x + 3.20y =>2.2x = 3.3y => x : y = 3 : 2

Q: A train covered k km at 40 kmph and another 2k km at 20 kmph. Find the average speed of the train in covering the entire 3k km ? 1635 0

  • 1
    28 kmph
    Correct
    Wrong
  • 2
    24 kmph
    Correct
    Wrong
  • 3
    26 kmph
    Correct
    Wrong
  • 4
    32 kmph
    Correct
    Wrong
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Answer : 2. "24 kmph"
Explanation :

Answer: B) 24 kmph Explanation: Total time taken = k/40 + 2k/20 hours = 5k/40 = k/8 hours Average speed = 3k/(k/8) = 24 kmph.

Q: If a solid sphere of radius 10 cms is moulded into 8 spherical solid balls of equal radius, then surface area of each ball (in sq.cm) is ? 1635 0

  • 1
    100 π
    Correct
    Wrong
  • 2
    101/π
    Correct
    Wrong
  • 3
    99 π/12
    Correct
    Wrong
  • 4
    54/13π
    Correct
    Wrong
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Answer : 1. "100 π"
Explanation :

Answer: A) 100 π Explanation: 4/3 π x 10 x 10 x 10 = 8 x 4/3 π x r x r x rr = 54π x 5 x 5 = 100π

Q: Which law relates to the ideal gas law? 1635 0

  • 1
    P1T1 = P2T2
    Correct
    Wrong
  • 2
    P1/V1 = P2/V2
    Correct
    Wrong
  • 3
    P1V1 = P2V2
    Correct
    Wrong
  • 4
    T1/V1 = T2/V2
    Correct
    Wrong
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Answer : 3. "P1V1 = P2V2"
Explanation :

Answer: C) P1V1 = P2V2 Explanation: Ideal Gas Law :: The Combined gas law or General Gas Equation is obtained by combining Boyle's Law, Charles' Law, and Gay-Lussac's Law. It shows the relationship between the pressure, volume, and temperature for a fixed mass (quantity) of gas: P1V1T1 = P2V2T2   Hence, the Boyle's law P1V1 = P2T2, relates to ideal gas equation.

Q: What is the capital of Bhutan ? 1634 0

  • 1
    Dhaka
    Correct
    Wrong
  • 2
    Thimphu
    Correct
    Wrong
  • 3
    Tripoli
    Correct
    Wrong
  • 4
    Tokyo
    Correct
    Wrong
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Answer : 2. "Thimphu"
Explanation :

Answer: B) Thimphu Explanation:

Q: Maximum fixation of solar energy is done by 1634 0

  • 1
    Fungi
    Correct
    Wrong
  • 2
    Protozoa
    Correct
    Wrong
  • 3
    Bacteria
    Correct
    Wrong
  • 4
    Green plants
    Correct
    Wrong
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Answer : 4. "Green plants"
Explanation :

Answer: D) Green plants Explanation:

Q: India Ratings has lowered India's growth forecast for the current fiscal to ________ from 7.4 per cent. 1634 0

  • 1
    6.3 per cent
    Correct
    Wrong
  • 2
    6.6 per cent
    Correct
    Wrong
  • 3
    6.7 per cent
    Correct
    Wrong
  • 4
    6.4 per cent
    Correct
    Wrong
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Answer : 3. "6.7 per cent"
Explanation :

Answer: C) 6.7 per cent Explanation:

Q: Currency of Peru is 1633 0

  • 1
    Chilean Peso
    Correct
    Wrong
  • 2
    Euro
    Correct
    Wrong
  • 3
    Sol
    Correct
    Wrong
  • 4
    Dollar
    Correct
    Wrong
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Answer : 3. "Sol"
Explanation :

Answer: C) Sol Explanation: Peru is a country in South America. Lima is the capital city of Peru. Sol is the currency of Peru.

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