IIT JEE Practice Question and Answer

Q: Train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 20 seconds. The length of train K is three-fourths the length of train L. What is the ratio of the speed of train K to that of train L   ? 1388 0

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

Answer: B) 2 : 1 Explanation: Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds. Let the length of train K be Lk and that of train L be Ll given that Lk = 3/4 Ll As the train K and L crosses the pole in 30 seconds and 80 seconds respectively, => Speed of train K = sk = Lk/30 Speed of train L = sl = Ll/80 Lk = 3/4 Ll => sk = 3/4 Ll/(30) = Ll/40 Ratio of their speeds = sk : sl = Ll/40 : Ll/80 => 1/40 : 1/80  =  2 : 1

Q: Brass gets discoloured in air because of the presence of which of the following gases in air  ? 2641 0

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    Hydrogen sulphide
    Correct
    Wrong
  • 2
    Oxygen
    Correct
    Wrong
  • 3
    Nitrogen
    Correct
    Wrong
  • 4
    Carbon dioxide
    Correct
    Wrong
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Answer : 1. "Hydrogen sulphide"
Explanation :

Answer: A) Hydrogen sulphide Explanation:

Q: The first synthetic fibre made by man was ____ ? 4565 1

  • 1
    Rayon
    Correct
    Wrong
  • 2
    Terycott
    Correct
    Wrong
  • 3
    Polyester
    Correct
    Wrong
  • 4
    Nylon
    Correct
    Wrong
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Answer : 4. "Nylon"
Explanation :

Answer: D) Nylon Explanation:

Q: If the C.I. on a sum for 2 years at 12 1/2 % per annum is Rs. 510, the S.I. on the same sum at the same rate for the same period of time is   ? 1667 0

  • 1
    Rs. 580
    Correct
    Wrong
  • 2
    Rs. 480
    Correct
    Wrong
  • 3
    Rs. 550
    Correct
    Wrong
  • 4
    Rs. 470
    Correct
    Wrong
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Answer : 2. "Rs. 480"
Explanation :

Answer: B) Rs. 480 Explanation: Let the sum be Rs. P. Then,   P1+252x1002-P= 510   P[982- 1] = 510.   Sum = Rs. 1920   So, S.I. = (1920 x 25 x 2) / (2 x 100) = Rs. 480

Q: After independence, the first state organized on the basis of language age is  ? 2742 2

  • 1
    Karnataka
    Correct
    Wrong
  • 2
    Punjab
    Correct
    Wrong
  • 3
    Gujarat
    Correct
    Wrong
  • 4
    Andhra Pradesh
    Correct
    Wrong
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Answer : 4. "Andhra Pradesh"
Explanation :

Answer: D) Andhra Pradesh Explanation:

Q: How many seconds will a 600 m long train take to cross a man walking with a speed of 7 km/hr in the direction of the moving train if the speed of the train is 67 km/hr ? 1556 0

  • 1
    29 sec
    Correct
    Wrong
  • 2
    58 sec
    Correct
    Wrong
  • 3
    36 sec
    Correct
    Wrong
  • 4
    44 sec
    Correct
    Wrong
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Answer : 3. "36 sec"
Explanation :

Answer: C) 36 sec Explanation: Speed of train relative to man = 67 - 7 = 60 km/hr.= 60 x 5/18 = 50/3 m/sec. Time taken to pass the man = 600 x 3/50 = 36 sec.

Q: A mixture of 70 litres of Fruit Juice and water contains 10% water. How many litres of water should be added to the mixture so that the mixture contains 12.5% water   ? 2626 0

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

Answer: A) 2 lit Explanation: Quantity of fruit juice in the mixture = 70 - [70 x (10/100) ]= 63 litres.   After adding water, juice would form 87.5% of the mixture.   Hence, if quantity of mixture after adding x liters of water, [(87.5) /100 ]*x = 63 => x = 72    Hence 72 - 70 = 2 litres of water must be added.

Q: ______ is the first state to have Logo for Vehicles Driven by person with Hearing Impairment ? 1603 0

  • 1
    Telangana
    Correct
    Wrong
  • 2
    Rajasthan
    Correct
    Wrong
  • 3
    Gujarat
    Correct
    Wrong
  • 4
    Haryana
    Correct
    Wrong
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Answer : 1. "Telangana"
Explanation :

Answer: A) Telangana Explanation: Telangana has introduced a logo for identifying vehicles driven by persons with hearing impairment and has become the first state in the country to do so. The logo was designed by city-based graphic designer Manikanta Annapragada who was the first person to obtain a driving licence under the ‘hearing impaired’ category in the country. The logo consists of a hearing impaired mark along with text saying, “Driver is deaf — Please watch out”.

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