IIT JEE Practice Question and Answer

Q: What comes first latitude or longitude? 1414 0

  • 1
    Latitude
    Correct
    Wrong
  • 2
    Longitude
    Correct
    Wrong
  • 3
    Both A & B
    Correct
    Wrong
  • 4
    None of the above
    Correct
    Wrong
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Answer : 1. "Latitude"
Explanation :

Answer: A) Latitude Explanation: Latitude comes first among latitude or longitude.  Latitude is written before longitude. The first number is always the latitude and the second is the longitude. Latitude is written with a number, followed by either “north” or “south” depending on whether it is located north or south of the equator. Longitude is written with a number, followed by either “east” or “west” depending on whether it is located east or west of the Prime Meridian.

Q: A Tank is normally filled in 9 hours but takes four hours longer to fill because of a leak in its bottom. If the tank is full, the leak will empty it in ? 1414 0

  • 1
    32.5 hrs
    Correct
    Wrong
  • 2
    29.25 hrs
    Correct
    Wrong
  • 3
    30.30 hrs
    Correct
    Wrong
  • 4
    31 hrs
    Correct
    Wrong
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Answer : 2. "29.25 hrs"
Explanation :

Answer: B) 29.25 hrs Explanation: Let the leak will empty the tank in x hrs  Then, 1/9 - 1/x = 1/13 x = 29.25 hrs

Q: Find the principal if the interest compounded at the rate of 10% per annum for two years is Rs. 420 ? 1414 0

  • 1
    Rs. 2000
    Correct
    Wrong
  • 2
    Rs. 2100
    Correct
    Wrong
  • 3
    Rs. 1900
    Correct
    Wrong
  • 4
    Rs. 2150
    Correct
    Wrong
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Answer : 1. "Rs. 2000"
Explanation :

Answer: A) Rs. 2000 Explanation: Given, Compound rate, R = 10% per annumTime = 2 yearsC.I = Rs. 420Let P be the required principal.A = (P+C.I)Amount, A = P1 + r100n (P+C.I) = P1 + 101002 (P+420) = P[11/10][11/10] P-1.21P = -420 0.21P = 420 Hence, P = 420/0.21 = Rs. 2000

Q: Order of basicity of amines in gaseous state? 1414 0

  • 1
    2'> 1'> 3' > NH3
    Correct
    Wrong
  • 2
    3' > 2' > 1'> NH3
    Correct
    Wrong
  • 3
    1' > 2' > 3'> NH3
    Correct
    Wrong
  • 4
    2'> 3'> 1' > NH3
    Correct
    Wrong
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Answer : 2. "3' > 2' > 1'> NH3"
Explanation :

Answer: B) 3' > 2' > 1'> NH3 Explanation: The order of basicity in ammonia is different in gaseous phases vs. aqueous phases due to hydrogen bonding.   So in gaseous phases it's the well known: 3' > 2' > 1'> NH3. Just so we're on the same page, this is due to the inductive effect of electron donating alkyl groups--they destabilize the lone pair on nitrogen atom, making nitrogen more basic.   But in aqueous phase, the order is slightly different: 2'> 1'> 3' > NH3.

Q: What is the least number of squares tiles required to pave the floor of a room 15 m 17 cm long and 9 m 2 cm broad ? 1414 0

  • 1
    844
    Correct
    Wrong
  • 2
    814
    Correct
    Wrong
  • 3
    840
    Correct
    Wrong
  • 4
    820
    Correct
    Wrong
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Answer : 2. "814"
Explanation :

Answer: B) 814 Explanation: Length of largest tile = H.C.F. of 1517 cm and 902 cm = 41 cm.Area of each tile = (41 x 41) sq.cm Required number of tiles =1517 x 902/(41 x 41) = 814.

Q: Numismatics is the study of 1413 0

  • 1
    Numbers
    Correct
    Wrong
  • 2
    Coins
    Correct
    Wrong
  • 3
    Stamps
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "Coins"
Explanation :

Answer: B) Coins Explanation: Numismatics is the study or collection of currency, including coins, tokens, paper money, and related objects.

Q: What are the Multiples of 18? 1412 0

  • 1
    144
    Correct
    Wrong
  • 2
    72
    Correct
    Wrong
  • 3
    306
    Correct
    Wrong
  • 4
    All the above
    Correct
    Wrong
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Answer : 4. "All the above"
Explanation :

Answer: D) All the above Explanation: The Multiples of 18 are 18, 36, 54, 72, 90, 108, 126, ....   Multiples of 18 are nothing but numbers which are divisible by 18 leaving remainder 0.   An infinite number of multiples of 18 can be achieved by adding 18 to each subsequent multiple.

Q: Which of the following country has re-elected as the member of the UNESCO's executive board? 1412 0

  • 1
    Pakistan
    Correct
    Wrong
  • 2
    India
    Correct
    Wrong
  • 3
    Myanmar
    Correct
    Wrong
  • 4
    Nepal
    Correct
    Wrong
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Answer : 2. "India"
Explanation :

Answer: B) India Explanation: India was re-elected as member of executive board of United Nations Educational, Scientific and Cultural Organization (UNESCO). Executive board is UNESCO's top decision-making body. The election was held at 39th session of General Conference of UNESCO in Paris, France.    UNESCO is UN association that helps safeguard historical and cultural sites around the world. It is special multi-nation organization, framed in 1945 and situated in France. It promotes literacy and sex education as well as improving gender equality in countries around world. The General Conference determines policies and main lines of work of organisation. Its duty is to set programmes and budget of UNESCO. It also elects members of executive board and appoints, every four years, director-general.

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