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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • The denominator of a fraction is 2 more than thrice its numerator. if the numerator as well as denominator is increased by one , the fraction becomes 1/3. What was the original fraction?


  • Options
  • A. 4/13
  • B. 3/11
  • C. 5/13
  • D. 5/11

  • Correct Answer
  • 3/11 

    Explanation

    Method 1 to solve the question.
    Let us assume the numerator be x.
    Then the denominator will be 3x + 2.
    According the question,
    if the numerator as well as denominator is increased by one , the fraction becomes 1/3,
    (x + 1)/(3x + 2 + 1) = 1/3
    ? (x + 1)3 = 1(3x + 2 + 1)
    ? 3x + 3 = 3x + 3
    Since Left hand side equation is same to right hand side equation. So we cannot solve the equation and cannot determine the answer.

    Method 2 to solve the question.
    Let us assume the numerator be x and denominator be y.
    According to question,
    The denominator of a fraction is 2 more than thrice its numerator.
    y = 3x + 2 .....................(1)
    Again According to question,
    if the numerator as well as denominator is increased by one , the fraction becomes 1/3.
    (x + 1)/(y + 1) = 1/3
    ? 3(x + 1) = y + 1
    ? 3x + 3 = y + 1
    ? y = 3x + 2............(2)
    Since Equation (1) and (2) is same. So we cannot determine the number.

    Method 3 to solve the question.
    Hit and Trail method.
    Solve all option one by one as per given question.
    First took Option (A) 4/13
    Numerator 4 in given fraction in Option (A)
    The denominator of a fraction is 2 more than thrice its numerator.
    So denominator = 2 + 4 x 3 = 2 + 12 = 14
    So fraction will be 4/14 So this is wrong answer.
    Now took Option (B) 3/11
    Numerator 3 in given fraction in Option (B)
    The denominator of a fraction is 2 more than thrice its numerator.
    So denominator = 2 + 3 x 3 = 2 + 9 = 11
    So fraction will be 3/11 So this is right answer.


  • More questions

    • 1. The milk and water in two vessels are in the ratio of 3 : 1 and 7 : 11 respectively. In what ratio should the liquid in both the vessels be mixed to obtaina new mixture containing half milk and half water?

    • Options
    • A. 5 : 7
    • B. 4 : 9
    • C. 1 : 1
    • D. 4 : 7
    • Discuss
    • 2. In a mixture of 35 litres, the ratio of milk and water is 4:1. If 7 litres of water is added to the mixture, the ratio of milk and water of the new mixture will be

    • Options
    • A. 2:1
    • B. 1:2
    • C. 4:5
    • D. 5:4
    • Discuss
    • 3. 
      If the three- fourth of number is subtracted from the number, the value so obtained is 163. What is that number?

    • Options
    • A. 625
    • B. 562
    • C. 632
    • D. 652
    • Discuss
    • 4. 8 litres are drawn from a flask containing milk and then filledwith water. The operation is performed 3 more times. Theratio of the quantity of milk left and total solution is 81/625.How much milk the flask initially holds?

    • Options
    • A. 10 ltr
    • B. 20 ltr
    • C. 30 ltr
    • D. 40 ltr
    • Discuss
    • 5. The square root of 64009 is:

    • Options
    • A. 253
    • B. 347
    • C. 363
    • D. 803
    • Discuss
    • 6. 4, -8, 16, -32, 64, (....)

    • Options
    • A. 128
    • B. -128
    • C. 192
    • D. -192
    • Discuss
    • 7. 
      6.39 x 128.948 + 5.215 ÷ 12.189 + 25.056 =?

    • Options
    • A. 800
    • B. 900
    • C. 850
    • D. 950
    • Discuss
    • 8. 
      A 240 m long train crosses a platform of equal length in 27 s. What is the speed of the train in km/h?

    • Options
    • A. 48
    • B. 60
    • C. 56
    • D. 64
    • Discuss
    • 9. 
      If 1 / 3.718 = .2689, then the value of 1 / .0003718 is?

    • Options
    • A. 2689
    • B. 2.689
    • C. 26890
    • D. .2689
    • Discuss
    • 10. 
      A can do a piece of work in 24 days. If B is 60% more efficient than A, then the number of days required by B to do the same piece of work is?

    • Options
    • A. 10
    • B. 15
    • C. 12
    • D. 9.6
    • Discuss


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