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  • Question
  • If the numerator of a fraction is increased by 2 and denominator is increased by 3, the faction becomes 7/9 and if numerator as well as denominator are decreased by 1, the fraction becomes 4/5. What is the original fraction?


  • Options
  • A. 13/16
  • B. 9/11
  • C. 5/6
  • D. 17/21

  • Correct Answer
  • 5/6 

    Explanation

    Let the numerator and denominator be p and q respectively.
    Then, (p + 2) / (q + 3) = 7/9
    ? 9(p + 2) = 7(q +3)
    ? 9p - 7q = 3 ....(i)
    Again, (p - 1) / (q - 1) = 4/5
    ? 5p - 4q = 1 ....(ii)

    Solving (i) and (ii) we get,
    p = 5, q = 6
    Required fraction = 5/6


  • Decimal Fraction problems


    Search Results


    • 1. 
      If the numerator of a fraction is increased by 2 and the denominator is increased by 1, the fraction because 5/8 and if the numerator of the same fraction is increased by 3 and the denominator is increased by 1, the fraction becomes 3/4 . What is the original fraction?

    • Options
    • A. Data inadequate
    • B. 2/7
    • C. 4/7
    • D. 3/7
    • Discuss
    • 2. 
      If 3 is added to the denominator of a fraction, it becomes 1/3 and if 4 be added to its numerator, It becomes 3/4, then fraction is?

    • Options
    • A. 4/9
    • B. 3/20
    • C. 7/24
    • D. 5/12
    • Discuss
    • 3. 
      (.58 x .58 x .58 - .42 x .42 x .42 - 3 x .58 x .42 x .16) =?

    • Options
    • A. 0.004096
    • B. 1.3976
    • C. 0.16
    • D. 1
    • Discuss
    • 4. 
      [ .6 x .6 x .6 x .4 x .4 x .4 + 3 x .6 x .4 x (.6 + .4 )] =?

    • Options
    • A. 21.736
    • B. 2.1736
    • C. .21736
    • D. 1
    • Discuss
    • 5. 
      The greatest fraction out of 2/5, 5/6, 11/12 and 7/8 is?

    • Options
    • A. 7/8
    • B. 11/12
    • C. 5/6
    • D. 2/5
    • Discuss
    • 6. 
      If a fraction's numerator is increased by 1 and the denominator is increased by 1 and denominator is increased by 2 then the fraction becomes 2/3. But when the numerator is increased by 5 and the denominator is increased by 1, then the fraction becomes 5/4. What is the value of the original fraction?

    • Options
    • A. 3/7
    • B. 5/8
    • C. 5/7
    • D. 6/7
    • Discuss
    • 7. 
      The value of (9 2 x 18 4) / 3 16 is?

    • Options
    • A. 2/3
    • B. 4/9
    • C. 16/81
    • D. 32/243
    • Discuss
    • 8. 
      A man spends (1/7)th of his salary on food, half of the remaining on clothing and (1/3)rd of the remaining on entertainment. He is still left with Rs. 600. How much does he spend on entertainment?

    • Options
    • A. Rs. 600
    • B. Rs. 450
    • C. Rs. 300
    • D. Rs. 700
    • Discuss
    • 9. 
      If a fraction is multiplied by itself and then divided by the reciprocal of the same fraction, the result is 18 26/ 27. find the fraction?

    • Options
    • A. 8/27
    • B. 11/3
    • C. 22/3
    • D. 32/3
    • Discuss
    • 10. 
      A lamppost is divided into three parts, the first part is (1/3)rd of the whole length, second (3/8)th of the first and the third is 6 m 50 cm. The length of the lamppost is?

    • Options
    • A. 15 m
    • B. 10 m
    • C. 12 m
    • D. 131/2
    • Discuss


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