IIT JEE Practice Question and Answer

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Answer : 2. "54"
Explanation :

Answer: B) 54 Explanation: Let R, G and B represent the number of balls in red, green and blue boxes respectively. Then, . R + G + B = 108 ...(i), G + R = 2B ...(ii) B = 2R ...(iii) From (ii) and (iii), we have G + R = 2x 2R = 4R or G = 3R. Putting G = 3R and B = 2R in (i), we get: R + 3R + 2R = 108 6R = 108 R = 18. Therefore Number of balls in green box = G = 3R = (3 x 18) = 54.

Q: Which gymnospermic plant cures rheumatism? 3124 0

  • 1
    Ephedra
    Correct
    Wrong
  • 2
    Pinus
    Correct
    Wrong
  • 3
    Araucaria
    Correct
    Wrong
  • 4
    Gnetum
    Correct
    Wrong
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Answer : 4. "Gnetum"
Explanation :

Answer: D) Gnetum Explanation: Oil from Gnetum spp a gymnosperm belonging to the family Gnetaceae is used to relieve the effects of rheumatism The lianas and shrubs of Gnetum are found in the rain forests of the western ghats.

Q: A, B, C and D enter into partnership. A subscribes 1/3 of the capital B 1/4, C 1/5 and D the rest. How much share did A get in a profit of Rs.2490 ? 3119 0

  • 1
    Rs. 820
    Correct
    Wrong
  • 2
    Rs. 830
    Correct
    Wrong
  • 3
    Rs. 840
    Correct
    Wrong
  • 4
    Rs. 850
    Correct
    Wrong
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Answer : 2. "Rs. 830"
Explanation :

Answer: B) Rs. 830 Explanation: Let the total amount in the partnership be 'x'.Then A's share = x/3B's share = x/4C's share = x/5D's share = x - (x/3 + x/4 +x/5) = 13x/60 A : B : C : D = x/3 : x/4 : x/5 : 13x/60 = 20 : 15 : 12 : 13 A's share in the profit of Rs. 2490 = 20 (2490/60) = Rs. 830.

Q: Three taps P, Q and R can fill a tank in 12 hrs, 15 hrs and 20 hrs respectively. If P is open all the time and Q and R are open for one hour each alternately, starting with Q, then the tank will be full in how many hours ? 3115 0

  • 1
    9 hrs
    Correct
    Wrong
  • 2
    7 hrs
    Correct
    Wrong
  • 3
    13 hrs
    Correct
    Wrong
  • 4
    11 hrs
    Correct
    Wrong
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Answer : 2. "7 hrs"
Explanation :

Answer: B) 7 hrs Explanation: Given, P can fill in 12 hrs Q can fill in 15 hrs R can fill in 20 hrs => Volume of tank = LCM of 12, 15, 20 = 60 lit => P alone can fill the tank in 60/12 = 5 hrs => Q alone can fill the tank in 60/15 = 4 hrs => R alone can fill the tank in 60/20 = 3 hrs Tank can be filled in the way that (P+Q) + (P+R) + (P+Q) + (P+R) + .... => Tank filled in 2 hrs = (5+4) + (5+3) = 9 + 8 = 17 lit => In 6 hrs = 17 x 6/2 = 51 lit => In 7th hr = 51 + (5+4) = 51 + 9 = 60 lit => So, total tank will be filled in 7 hrs.

Q: Look at the series : 3, 7, 24, 11, __, 19, 19,... What number should fill the blank ? 3114 0

  • 1
    15
    Correct
    Wrong
  • 2
    13
    Correct
    Wrong
  • 3
    21
    Correct
    Wrong
  • 4
    16
    Correct
    Wrong
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Answer : 1. "15"
Explanation :

Answer: A) 15 Explanation: Two series alternate here, with every third number following a different pattern.In the main series, 4 is added to each number to arrive the next.In alternate series, 5 is subtracted from each number t arrive the next number.Here in the main series 3 + 4 = 77 + 4 = 1111 + 4 = 1515 + 4 = 19 In alternate series 24 - 5 = 1919 - 5 = 14...

Q: Play is to actor as concert is to 3109 0

  • 1
    Musician
    Correct
    Wrong
  • 2
    percussion
    Correct
    Wrong
  • 3
    symphony
    Correct
    Wrong
  • 4
    piano
    Correct
    Wrong
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Answer : 1. "Musician"
Explanation :

Answer: A) Musician Explanation: An actor performs in a play. A musician performs at a concert. Choices b, c, and d are incorrect because none is people who perform.   Hence, Play is to actor as concert is to Musician.

Q: The number of permutations of the letters of the word 'MESMERISE' is  ? 3107 0

  • 1
    9!/(2!)^{2}x3!
    Correct
    Wrong
  • 2
    9! x 2! x 3!
    Correct
    Wrong
  • 3
    0
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "9!/(2!)^{2}x3!"
Explanation :

Answer: A) 9!/(2!)^{2}x3! Explanation: n items of which p are alike of one kind, q alike of the other, r alike of another kind and the remaining are distinct can be arranged in a row in n!/p!q!r! ways.The letter pattern 'MESMERISE' consists of 10 letters of which there are 2M's, 3E's, 2S's and 1I and 1R.Number of arrangements = 9!(2!)2×3!

Q: Which best describes Genes? 3105 0

  • 1
    long, double chains of nucleic acids.
    Correct
    Wrong
  • 2
    long, single chains of amino acids.
    Correct
    Wrong
  • 3
    long, single chains of nucleic acids.
    Correct
    Wrong
  • 4
    long, double chains of amino acids.
    Correct
    Wrong
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Answer : 1. "long, double chains of nucleic acids."
Explanation :

Answer: A) long, double chains of nucleic acids. Explanation: Gene is a segment of chromosomal DNA or a sequence of DNA or RNA that codes for a molecule that has a function. It is the basic physical and functional unit of heredity.   As genes are made up of DNA it impies that they are long, double chains of nucleic acids as DNA is made of nucleic acids.

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