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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • The solution of the equations (p/x) + (q/y) = m and (q/x) + (p/y) = n is


  • Options
  • A. x = (q2 - p2) / (mp - nq), y = (p2 - q2) / (np - mq)
  • B. x = (p2 - q2/) / (mp - nq), y = (q2 - q2) / (np - mq)
  • C. x = (p2 - q2/) / (mp - nq), y = (p2 - q2) / (np - mq)
  • D. x = (q2 - p2) / (mp - nq), y = (q2 - p2) / (np - mq)

  • Correct Answer
  • x = (p2 - q2/) / (mp - nq), y = (p2 - q2) / (np - mq) 

    Explanation

    (p/x) + (q/y) = m ..(i)
    (q/x) + (p/y) = n ...(ii)

    On multiply Eq (i) by q and Eq. (ii) by p and subtracting, we get
    (pq/x) + (q2)/y = mq
    (pq/x) + (p2)/y = np
    -----------------------------------------
    (q2/y) - (p2/y) = mq - np
    ? (q2 - p2) = y(mq - np)
    ? y = (q2 - p2)/mp - np = (p2 - q2)/np - mq

    Again, on multiplying Eq. (i) by p and Eq. (ii) by q and subtracting, we get
    (p2/x) + (pq/y) = mp
    (q2/x) + (pq/y) = nq
    -----------------------------------------
    (p2/x) - (q2/x) = mp - nq
    ? (p2 - q2) = x (mp - nq)
    ? x = (p2 - q2)/(mp - nq)
    ? x = (p2 - q2)/(mp - nq)
    and y = (p2 - q2) / (np - mq)


  • 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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