IIT JEE Practice Question and Answer

Q: Divide Rs.118000 among three persons A, B and C such that the ratio of the shares of A and B is 3:4 and that of B:C is 5:6 ? 2919 0

  • 1
    A = 48000 B = 40000 C = 30000
    Correct
    Wrong
  • 2
    A = 30000 B = 40000 C = 48000
    Correct
    Wrong
  • 3
    A = 30000 B = 48000 C = 40000
    Correct
    Wrong
  • 4
    A = 40000 B = 48000 C = 30000
    Correct
    Wrong
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Answer : 2. "A = 30000 B = 40000 C = 48000"
Explanation :

Answer: B) A = 30000 B = 40000 C = 48000 Explanation: Compound ratio of A:B:CA:B = 3:4B:C = 5:6----------A:B:C = 15:20:24 We can divide Rs.118000 in this ratio. Share of A = 15/59 x 118000 = 30000 Share of B = 20/59 x 118000 = 40000 Share of C = 24/59 x 118000 = 48000

Q: If (89)2 is added to the square of a number, the answer so obtained is 16202. What is the (1/26) of that number? 2913 0

  • 1
    5.65
    Correct
    Wrong
  • 2
    2.7
    Correct
    Wrong
  • 3
    3.5
    Correct
    Wrong
  • 4
    6.66
    Correct
    Wrong
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Answer : 3. "3.5"
Explanation :

Answer: C) 3.5 Explanation: Let the number is = x (89)2 + x2 = 16202 x2 = 8281 x = 91 => (1/26) of 91 = 3.5

Q: The wealthiest citizens of ancient rome were 2905 0

  • 1
    patricians
    Correct
    Wrong
  • 2
    laborers
    Correct
    Wrong
  • 3
    farmers
    Correct
    Wrong
  • 4
    plebeians
    Correct
    Wrong
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Answer : 1. "patricians"
Explanation :

Answer: A) patricians Explanation:

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Answer : 4. "72"
Explanation :

Answer: D) 72 Explanation: If number of visitors on 1st, 2nd, 3rd, 4th & 5th day are k, l, m, n & o respectively, thenk + l + m + n = 58 x 4 = 232 ---- (i) & l + m + n + o = 60 x 4 = 240 ---- (ii)Subtracting (i) from (ii), we get o-k = 8 ---(iii)Given, k/o = 8/9 ----(iv)So from (iii) & (iv), we geta = 64, e = 72Therefore, number of visitors on 5th day is 72.

Q: A 300m race is held between two players running 3m/s and 5m/s in swimming pool of 50m long. how many times the two player meet in opposite direction till the faster one completes the race ? 2898 0

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

Answer: A) 3 times Explanation: Let us assume A is the faster and B is slower, A takes 10s to finish a lap of 50 m, B takes 17s(approx) to finish a lap of 50 m.So at 11th sec A starts his 2nd lap by the time B will be in between so that is the first time they will meet each other, at 21st sec A starts his 3rd lap by the time B will be coming back to finish his 2nd lap. So that is the second time they meet in opposite. Then at 31st sec A will start his 4th lap by the time B would not even finish 2nd lap as he take 34(2*17) sec to finish 2 laps. So at 35th sec B will start his 3rd lap by the time A will be coming back to finish his 4th lap in the half way so they will meet 3rd time. At 41st sec A will start its fifth lap by the time B will be going to finish 3rd lap in same direction. At 50th second both will complete A's 5th lap and B's 3rd lap. So they will start next lap(A's 6th and B's 4th) from the same point in same direction. And A will finish the race after completing 300m(6*50) total distance and then they wont meet opposite to each other. So totally they met 3 times in opposite direction.

Q: Find the odd one out of the following options. 2893 0

  • 1
    Sapphire
    Correct
    Wrong
  • 2
    Ruby
    Correct
    Wrong
  • 3
    Topaz
    Correct
    Wrong
  • 4
    Granite
    Correct
    Wrong
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Answer : 4. "Granite"
Explanation :

Answer: D) Granite Explanation: Except Granite all other options belong to the group of precious stones.

Q: Sugar Bowl of the World? 2890 0

  • 1
    Cuba
    Correct
    Wrong
  • 2
    Brazil
    Correct
    Wrong
  • 3
    India
    Correct
    Wrong
  • 4
    Australia
    Correct
    Wrong
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Answer : 2. "Brazil"
Explanation :

Answer: B) Brazil Explanation: "Cuba" is the name of the country which was commonly known as the "Sugar Bowl of the World". It is called by this name because formerly it was the largest producer of Sugar, but now Brazil is currently the largest producer of Sugar. It is an island country in the Caribbean and is officially called as the Republic of Cuba.

Q: 8 couples (husband and wife) attend a dance show "Nach Baliye' in a popular TV channel ; A lucky draw in which 4 persons picked up for a prize is held, then the probability that there is atleast one couple will be selected is : 2885 0

  • 1
    8/39
    Correct
    Wrong
  • 2
    15/39
    Correct
    Wrong
  • 3
    12/13
    Correct
    Wrong
  • 4
    None of these
    Correct
    Wrong
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Answer : 2. "15/39"
Explanation :

Answer: B) 15/39 Explanation: P( selecting atleast one couple) = 1 - P(selecting none of the couples for the prize)     = 1-16C1× 14C1×12C1×10C116C4=1539

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