IIT JEE Practice Question and Answer

Q: Sixty men can stitch 150 shirts in 30 days working 8 hours a day. In how many days can 35 men stitch 200 shirts working 6 hours a day ? 1878 0

  • 1
    87.5
    Correct
    Wrong
  • 2
    89
    Correct
    Wrong
  • 3
    91.5
    Correct
    Wrong
  • 4
    93.5
    Correct
    Wrong
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Answer : 3. "91.5"
Explanation :

Answer: C) 91.5 Explanation: We have M1 D1 H1 / W1 = M2 D2 H2 / W2 (Variation rule)(60 x 30 x 8)/ 150 = (35 x D2 x 6) / 200 D2 = (60 x 30 x 8 x 200) / (150 x 35 x 6) => D2 = 91.42 days =~ 91.5 days.

Q: Choose apropriate words which gives a complete meaning to the sentence from the given options. we were thinking ______ it _______ something like a requiem for our age. 1878 0

  • 1
    for, because
    Correct
    Wrong
  • 2
    for, as
    Correct
    Wrong
  • 3
    of, as
    Correct
    Wrong
  • 4
    of, since
    Correct
    Wrong
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Answer : 3. "of, as"
Explanation :

Answer: C) of, as Explanation:

Q: It takes one minute to fill 2/7 th of a vessel. What is the time taken in minutes to fill the whole of the vessel  ? 1878 0

  • 1
    1/7 min
    Correct
    Wrong
  • 2
    7/2 min
    Correct
    Wrong
  • 3
    5/7 min
    Correct
    Wrong
  • 4
    7/5 min
    Correct
    Wrong
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Answer : 2. "7/2 min"
Explanation :

Answer: B) 7/2 min Explanation: Time taken to fill 2/7 = 1Then to fill full 1 = ?? = 1/(2/7) = 7/2 minutes.

Q: H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is : 1877 0

  • 1
    360
    Correct
    Wrong
  • 2
    180
    Correct
    Wrong
  • 3
    90
    Correct
    Wrong
  • 4
    120
    Correct
    Wrong
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Answer : 2. "180"
Explanation :

Answer: B) 180 Explanation: 4 x 27 x 3125 = 22 × 33 × 55 ;   8 x 9 x 25 x 7 = 23 × 32 × 52 × 7   16 x 81 x 5 x 11 x 49 = 24 × 34 × 5 × 11 × 72   H.C.F = 22 × 32 × 5 = 180.

Q: A letter is takenout at random from 'ASSISTANT'  and another is taken out from 'STATISTICS'. The probability that they are the same letter is : 1877 0

  • 1
    35/96
    Correct
    Wrong
  • 2
    19/90
    Correct
    Wrong
  • 3
    19/96
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "19/90"
Explanation :

Answer: B) 19/90 Explanation: ASSISTANT→AAINSSSTT STATISTICS→ACIISSSTTT Here N and C are not common and same letters can be A, I, S, T. Therefore  Probability of choosing A =  2C19C1×1C110C1 = 1/45   Probability of choosing I = 19C1×2C110C1 = 1/45 Probability of choosing S = 3C19C1×3C110C1 = 1/10 Probability of choosing T = 2C19C1×3C110C1 = 1/15 Hence, Required probability =   145+145+110+115= 1990

Q: State funding of elections takes place in 1876 0

  • 1
    Germany and Austria
    Correct
    Wrong
  • 2
    USA and Canada
    Correct
    Wrong
  • 3
    France and Italy
    Correct
    Wrong
  • 4
    Britain and Switzerland
    Correct
    Wrong
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Answer : 1. "Germany and Austria"
Explanation :

Answer: A) Germany and Austria Explanation:

Q: Nitrogenous Food is 1876 0

  • 1
    Proteins
    Correct
    Wrong
  • 2
    Carbohydrates
    Correct
    Wrong
  • 3
    Salts
    Correct
    Wrong
  • 4
    Lipids
    Correct
    Wrong
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Answer : 1. "Proteins"
Explanation :

Answer: A) Proteins Explanation: Here the Nitrogenous Food is Proteins. Nitrogenous Food :: The animal body is more than a machine. It requires fuel to enable it not only to work but also to live, even without working. A part of the food eaten must go to maintain the body Nitrogenous food compounds are sometimes classed together under the name of proteins. These may be divided into proteids, gelatinoids, and extractives.

Q: Who is known as the Father of Geometry? 1875 0

  • 1
    Aryabhata
    Correct
    Wrong
  • 2
    Thales of Miletus
    Correct
    Wrong
  • 3
    Pythagoras of Samos
    Correct
    Wrong
  • 4
    Euclid
    Correct
    Wrong
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Answer : 4. "Euclid"
Explanation :

Answer: D) Euclid Explanation: Euclid of Alexandria was a Greek mathematician, often referred to as the Father of Geometry.

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