IIT JEE Practice Question and Answer

Q: Two dice are rolled simultaneously. Find the probability of getting the sum of numbers on the on the two faces divisible by 3 or 4? 1258 0

  • 1
    3/7
    Correct
    Wrong
  • 2
    7/11
    Correct
    Wrong
  • 3
    5/9
    Correct
    Wrong
  • 4
    6/13
    Correct
    Wrong
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Answer : 3. "5/9"
Explanation :

Answer: C) 5/9 Explanation: Here n(S) = 6 x 6 = 36 E={(1,2),(1,5),(2,1),(2,4),(3,3),(3,6),(4,2),(4,5),(5,1),(5,4),(6,3) ,(6,6),(1,3),(2,2),(2,6),(3,1),(3,5), (4,4),(5,3),(6,2)} => n(E)=20 Required Probability n(P) = n(E)/n(S) = 20/36 = 5/9.

Q: 5% of a number is 25% more than another number. The difference between the numbers is 96. Then find the value of the numbers? 2323 0

  • 1
    102 & 6
    Correct
    Wrong
  • 2
    99 & 3
    Correct
    Wrong
  • 3
    104 & 8
    Correct
    Wrong
  • 4
    100 & 4
    Correct
    Wrong
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Answer : 4. "100 & 4"
Explanation :

Answer: D) 100 & 4 Explanation: Let the first number be x and the second number be y. Given 5% of x = (25% of y) + y => 5x/100 = 5y/4 => x = 25y ......(1) and also given that, x - y = 96 => x = 96 + y .....(2) From (1)&(2) 25y = 96 + y => 24y = 96 => y = 4 From (1) x = 96 + 4 = 100 Hence, the numbers are 100 & 4.

Q: 6, 3, 3, 6, 24, ? Find the next number in the given number series? 8100 0

  • 1
    192
    Correct
    Wrong
  • 2
    186
    Correct
    Wrong
  • 3
    182
    Correct
    Wrong
  • 4
    194
    Correct
    Wrong
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Answer : 1. "192"
Explanation :

Answer: A) 192 Explanation: Given    6   3   3   6   24   ?   Here   6   6 x 0.5 = 3   3 x 1 = 3    3 x 2 = 6   6 x 4 = 24    24 x 8 = 192   The next number in the given series is 192.

Q: Two pipes A and B can fill a tank in 16 hrs and 12 hrs respectively. The capacity of the tank is 240 liters. Both the pipes are opened simultaneously and closed after 2 hrs. How much more water need to fill the tank? 2288 0

  • 1
    70 lit
    Correct
    Wrong
  • 2
    170 lit
    Correct
    Wrong
  • 3
    90 lit
    Correct
    Wrong
  • 4
    190 lit
    Correct
    Wrong
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Answer : 2. "170 lit"
Explanation :

Answer: B) 170 lit Explanation: Given A alone can fill the tank of capacity 240 lit in 16 hrs. => A can fill in 1 hr = 240/16 = 15 lit => B alone can fill the tank of capacity 240 lit in 12 hrs. => B can fill in 1 hr = 240/12 = 20 lit Now, (A + B) in 1 hr = 15 + 20 = 35 lit But they are opened for 2 hrs => 2 x 35 = 70 lit rae filled Remaining water to be filled in tank of 240 lit = 240 - 70 = 170 lit.

Q: 92613 x 62742241 = ? + 89 Find the value of '?' 1699 0

  • 1
    166251
    Correct
    Wrong
  • 2
    166259
    Correct
    Wrong
  • 3
    166252
    Correct
    Wrong
  • 4
    166253
    Correct
    Wrong
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Answer : 3. "166252"
Explanation :

Answer: C) 166252 Explanation: Given 92613 x 62742241 = ? + 89   Using unit digit method,   On LHS,   1 x 1 x 1 = 1   sqrt of last digit 1 => it must end with either 9 or 1   so now   1 x 1 = 1   1 x 9 = 9   On RHS,   ? + 89   => ? = ...1 - 89 = last digit is 11- 9 = 2   or   => ? = ...9 - 89 = last digit is 9 - 9 = 0   Here in the options last digit 2 is option C.

Q: 56% of 225 + 20% of 150 = ? - 109   Find the value of '?' in the above equation 5353 0

  • 1
    264
    Correct
    Wrong
  • 2
    220
    Correct
    Wrong
  • 3
    241
    Correct
    Wrong
  • 4
    None
    Correct
    Wrong
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Answer : 1. "264"
Explanation :

Answer: A) 264 Explanation: Given 56% of 225 + 20% of 150 = ? - 109 we know that a% of b = b% of a Now, 225% of 56 + 20% of 150 = ? - 109 200% of 56 + 25% of 56 + 20% of 150 = ? - 109 112 + 14 + 30 = ? - 109 ? = 112 + 14 + 30 + 109 ? = 264

Q: On the eve of Christmas, all the things are kept in apple-pie order. 1573 0

  • 1
    with neatness
    Correct
    Wrong
  • 2
    in perfect order
    Correct
    Wrong
  • 3
    in jumbled order
    Correct
    Wrong
  • 4
    Both A & B
    Correct
    Wrong
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Answer : 4. "Both A & B"
Explanation :

Answer: D) Both A & B Explanation:

Q: A man spend 20% of his monthly salary on his children's education and 50% of his salary on food and transport. After Paying the rent of Rs.1000, he is left with Rs.2000. What is his monthly salary? 1221 0

  • 1
    7000
    Correct
    Wrong
  • 2
    10000
    Correct
    Wrong
  • 3
    14000
    Correct
    Wrong
  • 4
    20000
    Correct
    Wrong
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Answer : 2. "10000"
Explanation :

Answer: B) 10000 Explanation: Let his monthly salary be 'P' 20% on children's education = 20P100 = P5 50% on food and transport = 50P100 = P2 1000 on rent => P - P5 - P2 - 1000 = 2000=> 3P = 30000=> P = 10000   Therefore, his monthly salary = Rs. 10,000

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