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  • Question
  • A has twice as much money as B. They play together and at the end of the first game B wins one-third of A's money from A, what fraction of the sum that B now has, must A win black in the second game, so that they may have exactly equal money?


  • Options
  • A. 1/3
  • B. 1/5
  • C. 1/4
  • D. 1/10

  • Correct Answer
  • 1/10 

    Explanation

    Let A has ? 200 at the starting of game, then B has ? 100 at the starting of game.
    After the game, money left with A = 200 - 200/3 = ? 400/3
    ? Total money with B = 100 + 200/3 = ? 500/3
    Let the fraction of money lost by B = N
    Then, 500/3 - N x 500/3 = 400/3 + N x 500/3
    ? 500/3 - 400/3 = 500N/3 + 500N/3
    ? 100/3 = 1000N/3
    ? N = (100/3) x (3/1000) = 1/10
    so, the fraction of money lost is 1/10.


  • Decimal Fraction problems


    Search Results


    • 1. 
      A vessel, full of water, weighs 16.5 kg. When the vessel is (1/4)th full, it weight 5.25 kg. Then, weight of the empty vessel (in kg) is?

    • Options
    • A. 1.125
    • B. 4.5
    • C. 1.5
    • D. 3
    • Discuss
    • 2. 
      A man left (1/7)th of his property to his daughter and the remaining to his sons to be equally divided among them. If the share of the each son be double than that of the daughter. Then, find the number of sons?

    • Options
    • A. 2
    • B. 3
    • C. 6
    • D. 4
    • Discuss
    • 3. 
      A boy on being asked 13/14 of a certain fraction had made the mistake of dividing the fraction by 14/13 and so got an answer that exceeded the correct answer by 3/65. The correct fraction is?

    • Options
    • A. 14/45
    • B. 12/65
    • C. 13/45
    • D. 2/7
    • Discuss
    • 4. 
      If 0. 3+ 0. 6 + 0. 7 + 0. 8 = x, then x is equal to?

    • Options
    • A. 23/10
    • B. 22/3
    • C. 2.35
    • D. 53/10
    • Discuss
    • 5. 
      From a rope 30 m long, a person cuts off as many pieces as possible, each 3 1/ 4 m long. What fraction of the whole will be left?

    • Options
    • A. 1/40
    • B. 3/4
    • C. 8/13
    • D. 7/13
    • Discuss
    • 6. 
      Sum of three fractions is 2 11/ 24. If the greatest fraction is divided by the smallest fraction, the result is 7/6, which is greater than the middle fraction by 1/3. find all the three fractions?

    • Options
    • A. 3/5, 4/7, 2/3
    • B. 7/8, 5/6, 3/4
    • C. 7/9, 2/3, 3/5
    • D. 7/8, 7/9, 7/10
    • Discuss
    • 7. 
      Sum of three fraction is 2 11/ 24 . If the greatest fraction is divided by the smallest fraction the result is 7/6, which is greater than the middle fraction by 1/3. Find all the three fractions.

    • Options
    • A. 3/5, 4/7, 2/3
    • B. 7/8, 5/6, 3/4
    • C. 7/9, 2/3, 3/5
    • D. 7/8, 7/9, 7/10
    • Discuss
    • 8. 
      In the year 2011, Shantanu gets ? 3832.5 as his pocket allowance. Find his pocket allowance per day.

    • Options
    • A. ? 9.5
    • B. ? 10.5
    • C. ? 12.5
    • D. ? 11.5
    • Discuss
    • 9. 
      1/8 part of a pencil is black and 1/2 part of the remaining is white. If the remaining part is blue and length of this blue part is 31/2 cm, then find the length of the pencil.

    • Options
    • A. 6 cm
    • B. 7 cm
    • C. 8 cm
    • D. 9 cm
    • Discuss
    • 10. 
      A man reads 3/8 of a book on a day and 4/5 of the remainder on the second day. If the number of pages still unread are 40, then how many pages did the book contain?

    • Options
    • A. 300
    • B. 500
    • C. 320
    • D. 350
    • Discuss


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