IIT JEE Practice Question and Answer

Q: A shopkeeper who deals in books sold a book at 16% loss. Had she charged an additional Rs.60 while selling it , her profit would have been 14%. Find the cost price, in rupees, of the book ? 1509 0

  • 1
    Rs. 185
    Correct
    Wrong
  • 2
    Rs. 154
    Correct
    Wrong
  • 3
    Rs. 200
    Correct
    Wrong
  • 4
    Rs. 177
    Correct
    Wrong
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Answer : 3. "Rs. 200"
Explanation :

Answer: C) Rs. 200 Explanation: Let the C.P be 'x'Then, the selling price S.P = x - 16x/100= 84x/100 = 21x/25Now, if the S.P is 60 more, then the profit is 14% => 21x/25 + 60 = x + 14x/100=> 114x/100 - 21x/25 = 60=> (57 - 42)x/50 = 60=> 15x/50 = 60x = 3000/15 = 200 Therefore, the Cost price C.P = x = Rs. 200

Q: The compound interest on a certain sum for 2 years at 10% per annum is Rs. 1155. The simple interest on the same sum for double the time at half the rate percent per annum is ? 1509 1

  • 1
    Rs. 1100
    Correct
    Wrong
  • 2
    Rs. 5500
    Correct
    Wrong
  • 3
    Rs. 1400
    Correct
    Wrong
  • 4
    Rs. 4120
    Correct
    Wrong
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Answer : 1. "Rs. 1100"
Explanation :

Answer: A) Rs. 1100 Explanation: Let the sum be Rs.x. Then,     x1+101002-x=1155   ⇒x11102-1=1155   => x =5500   sum = Rs. 5500.   So, S.I = Rs. 5500×5×4100 = 1100

Q: Which is the oldest tennis tournament in the world and also prestigious? 1508 0

  • 1
    Wimbledon
    Correct
    Wrong
  • 2
    US Open
    Correct
    Wrong
  • 3
    French Open
    Correct
    Wrong
  • 4
    Australian Open
    Correct
    Wrong
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Answer : 1. "Wimbledon"
Explanation :

Answer: A) Wimbledon Explanation: Wimbledon Tournament in the city London, is the prestigious and the oldest tournament in the world.

Q: Which part of the flame is the hottest? 1508 0

  • 1
    Blue Zone
    Correct
    Wrong
  • 2
    Luminous Zone
    Correct
    Wrong
  • 3
    Dark Zone
    Correct
    Wrong
  • 4
    Non - Luminous Zone
    Correct
    Wrong
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Answer : 1. "Blue Zone"
Explanation :

Answer: A) Blue Zone Explanation: Blue Zone is the hottest part of the flame that is where the flame has the most Oxygen and you are getting complete combustion. It is about 1400 degrees Centigrades. The Reddish part (Non - Luminous Zone) is the coolest part, about 800 deg C.

Q: In how many ways can letter of the word RAILINGS arrange so that R and S always come together? 1508 0

  • 1
    1260
    Correct
    Wrong
  • 2
    2520
    Correct
    Wrong
  • 3
    5040
    Correct
    Wrong
  • 4
    1080
    Correct
    Wrong
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Answer : 3. "5040"
Explanation :

Answer: C) 5040 Explanation: The number of ways in which the letters of the word RAILINGS can be arranged such that R & S always come together is   Count R & S as only 1 space or letter so that RS or SR can be arranged => 7! x 2!   But in the word RAILINGS, I repeated for 2 times => 7! x 2!/2! = 7! ways = 5040 ways.

Q: What goes in dry and comes out wet? 1508 0

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Answer :
Explanation :

A Bath towel or a tea bag are suitable answers.

Q: What causes brownian motion in colloids? 1507 0

  • 1
    coagulation of particles and the dispersed phase
    Correct
    Wrong
  • 2
    erratic flashes of light
    Correct
    Wrong
  • 3
    molecules of the dispersion medium colliding with dispersed phase particles
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 3. "molecules of the dispersion medium colliding with dispersed phase particles"
Explanation :

Answer: C) molecules of the dispersion medium colliding with dispersed phase particles Explanation: When their is a colloid in the solution, then it will show the Brownian movement, such as dust particle in the air will show the Brownian movement.   Hence, Brownian movement arises due to the impact of the molecules of the dispersion medium with the colloidal particles. It has been postulated that the impact of the molecules of dispersion medium on the colloidal particles are unequal.   This leads to the zig-zag (random) motion of the colloidal particles.

Q: What is 70 of 50? 1507 0

  • 1
    35
    Correct
    Wrong
  • 2
    38
    Correct
    Wrong
  • 3
    42
    Correct
    Wrong
  • 4
    44
    Correct
    Wrong
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Answer : 1. "35"
Explanation :

Answer: A) 35 Explanation: what is 70 of 50 means 70% of 50   ⇒70 x 50100= 7 x 5= 35   Hence, 70 of 50 is 35.

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