logo

CuriousTab

CuriousTab

Discussion


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 median for the data 2, 4, 6, 8, 10, 12, 14 is

    • Options
    • A. 6
    • B. 8
    • C. 9.5
    • D. 10
    • Discuss
    • 2. 
      The value of 47 / 10000 is?

    • Options
    • A. .0047
    • B. .0470
    • C. .00047
    • D. .000047
    • Discuss
    • 3. If 4x = 18y, then the value of ( x/y - 1) is

    • Options
    • A. 1 3
    • B. 7 2
    • C. 2 3
    • D. 3 2
    • Discuss
    • 4. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 5. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 6. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 7. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 8. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
    • Discuss
    • 9. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 10. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
    • B. 18
    • C. 22
    • D. 38
    • Discuss


    Comments

    There are no comments.

Enter a new Comment