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Home Aptitude Linear Equation See What Others Are Saying!
  • Question
  • The numbers are such that the square of one is 224 less than 8 times the square of the other. If the numbers be in the ratio 3 : 4, the numbers are


  • Options
  • A. 3 , 6
  • B. 4 , 8
  • C. 6 , 8
  • D. 6 , 4

  • Correct Answer
  • 6 , 8 

    Explanation

    Let us assume the ratio term is r.
    then the number will be 3r and 4r.
    According to question,
    (4r)2 + 224 = 8 x (3r)2
    16r2 + 224 = 8 x 9r2
    16r2 + 224 = 72r2
    72r2 - 16r2 = 224
    56r2 = 224
    r2 = 224/56
    r2 = 4
    r = 2

    First number = 3r = 3 x 2 = 6
    Second number = 4r = 4 x 2 = 8


  • More questions

    • 1. 
      The value of (0.96)3 - (0.1)3 is:
      (0.96)2 + 0.096 + (0.1)2

    • Options
    • A. 0.86
    • B. 0.95
    • C. 0.97
    • D. 1.06
    • Discuss
    • 2. 
      A man has given one-fourth part of his property to his daughter, half part to his sons and one-fifth part given as charity. How much part of his property he has given?

    • Options
    • A. 1/20
    • B. 19/20
    • C. 1/10
    • D. 9/10
    • Discuss
    • 3. 
      When a 192 meters long rod is cut down into small pieces of length 3·2 meters each. Then how many pieces are available?

    • Options
    • A. 52
    • B. 68
    • C. 62
    • D. None of these
    • Discuss
    • 4. 
      If a * b = a + b + a/b, Then the value of 12 * 4 is

    • Options
    • A. 48
    • B. 19
    • C. 20
    • D. 21
    • Discuss
    • 5. 
      When A alone does a piece of work, he takes 25 days more than the time taken by (A + B) to complete that particular work, while B alone takes 49 days more than the time taken by (A + B) to finish the same work . A and B together will take what time for finish this work?

    • Options
    • A. 35 days
    • B. 25 days
    • C. 15 days
    • D. 45 days
    • Discuss
    • 6. 
      If the rate of interest rises from 6 1/2 to 8% a man's annual income increases by Rs. 4050. Find the capital.

    • Options
    • A. Rs . 270000
    • B. Rs . 370000
    • C. Rs . 300000
    • D. None of these
    • Discuss
    • 7. 16, 33, 65, 131, 261, (....)

    • Options
    • A. 523
    • B. 521
    • C. 613
    • D. 721
    • Discuss
    • 8. 
      16.7 + 12.38 -? =10.09

    • Options
    • A. 17.89
    • B. 18.99
    • C. 16.98
    • D. 20.09
    • Discuss
    • 9. 
      A mixture of 20 kg of spirit and water contains 10 % water. How much water must be added to this mixture to raise the percentage of water to 25 %?

    • Options
    • A. 4 kg
    • B. 5 kg
    • C. 8 kg
    • D. 30 kg
    • Discuss
    • 10. 
      A contractor undertakes to do a piece of work in 40 days. He engages 100 men at the begining and 100 more after 35 days and completes the work in stipulated time.
      If he had not engaged the additional men, how many days behind schedule would it be finished?

    • Options
    • A. 7
    • B. 18
    • C. 12
    • D. None
    • Discuss


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