IIT JEE Practice Question and Answer

Q: 1, 2, 8, 33, ? Find the next number in the given series? 1786 0

  • 1
    148
    Correct
    Wrong
  • 2
    145
    Correct
    Wrong
  • 3
    143
    Correct
    Wrong
  • 4
    141
    Correct
    Wrong
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Answer : 1. "148"
Explanation :

Answer: A) 148 Explanation: 1 x 1 + 1 x 1 = (1 + 1) = 2 2 x 2 + 2 x 2 = (4 + 4) = 8 8 x 3 + 3 x 3 = (24 + 9) = 33 33 x 4 + 4 x 4 = (132 + 16) = 148 148 x 5 + 5 x 5 = (740 + 25) = 765.

Q: What can you hear but not touch or see? 1786 0

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Answer :
Explanation :

The sound is what can you hear but not touch or see.

Q: If N is the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. What is the sum of the digits of N ? 1785 0

  • 1
    6
    Correct
    Wrong
  • 2
    8
    Correct
    Wrong
  • 3
    4
    Correct
    Wrong
  • 4
    9
    Correct
    Wrong
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Answer : 3. "4"
Explanation :

Answer: C) 4 Explanation: N = H.C.F. of (4665 - 1305), (6905 - 4665) and (6905 - 1305) = H.C.F. of 3360, 2240 and 5600 = 1120. Sum of digits in N = ( 1 + 1 + 2 + 0 ) = 4

Q: If two cards are taken one after another without replacing from a pack of 52 cards. What is the probability for the two cards be Ace ? 1784 0

  • 1
    51/1221
    Correct
    Wrong
  • 2
    42/221
    Correct
    Wrong
  • 3
    1/221
    Correct
    Wrong
  • 4
    52/1245
    Correct
    Wrong
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Answer : 3. "1/221"
Explanation :

Answer: C) 1/221 Explanation: Total Combination of getting a card from 52 cards = C152 Because there is no replacement, so number of cards after getting first card= 51 Now, Combination of getting an another card= C151 Total combination of getting 2 cards from 52 cards without replacement= (C152×C151)  There are total 4 Ace in stack. Combination of getting 1 Ace is = C14   Because there is no replacement, So number of cards after getting first Ace = 3 Combination of getting an another Ace = C13 Total Combination of getting 2 Ace without replacement=C14×C13 Now,Probability of getting 2 cards which are Ace =C14×C13C152×C151 = 1/221.

Q: Which of the following has the highest entropy? 1783 0

  • 1
    Hydrogen
    Correct
    Wrong
  • 2
    Diamond
    Correct
    Wrong
  • 3
    Liquid nitrogen
    Correct
    Wrong
  • 4
    Mercury
    Correct
    Wrong
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Answer : 1. "Hydrogen"
Explanation :

Answer: A) Hydrogen Explanation: Entropy is a measure of disorder . It will be maximum in gases followed by liquids and least in solids.   Hence, here the gas is only hydrogen and it has the highest entropy.

Q: Which planet experiences the volcano with the name of "Arsia Mon"  ? 1783 0

  • 1
    Earth
    Correct
    Wrong
  • 2
    Mars
    Correct
    Wrong
  • 3
    Jupiter
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 2. "Mars"
Explanation :

Answer: B) Mars Explanation: Arsia Mons is among the three volcanos of the planet Mars. Arsia Mons is a shield volcano with a slow slope. Arsia Mons is thirty times in volumes of Mauna Loa in Hawaii, the largest volcano on Earth.

Q: What is the time required to punch 1500 cards of 45 column each at the rate of 9,000 punches per hour ? 1783 0

  • 1
    8 hrs
    Correct
    Wrong
  • 2
    7 hrs 15 min
    Correct
    Wrong
  • 3
    7 hrs 30 min
    Correct
    Wrong
  • 4
    8 hrs 20 min
    Correct
    Wrong
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Answer : 3. "7 hrs 30 min"
Explanation :

Answer: C) 7 hrs 30 min Explanation: Total number of cards = 1500total columns = 45so, total punches=1500 x 45 = 67500for 1 hour if we make 9000 punches, we require 67500/9000 = 7.5so 7hours:30mins.

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Answer : 2. "100"
Explanation :

Answer: B) 100 Explanation: Let the Efficiency of pavan be E(P) Let the Efficiency of sravan be E(S) Here Work W = LCM(25,20) = 100 Now, E(P+2S) = 100/25 = 4 ....(1) E(2P+S) = 100/20 = 5 ....(2) Hence, from (1) & (2) we get E(S) = 1 => Number of days Savan alone work to complete the work  = 100/1 = 100 days.

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