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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. Find the odd word / letter / number from the given alternative

    • Options
    • A. POCG
    • B. KLIZ
    • C. BUDX
    • D. FQMV
    • Discuss
    • 2. At 30% discount the selling price of an article is Rs 1050. What is the selling price (in Rs) if the discount is 15%?

    • Options
    • A. 1200
    • B. 1175
    • C. 1100
    • D. 1275
    • Discuss
    • 3. At present, the ratio between the ages of Arun and Harish is 4:3. After 6 years, Arun's age will be 26 years. What is the age of Harish at present ?

    • Options
    • A. 15 years
    • B. 16 years
    • C. 18 years
    • D. 21 years
    • Discuss
    • 4. A dishonest shopkeeper professes to sell his groceries at his cost price but uses a false weight of 900 grams for each kilogram. Find his gain percentage.

    • Options
    • A. 91/9 %
    • B. 100/9%
    • C. 100/11 %
    • D. 95/9%
    • Discuss
    • 5. If secA + tanA = x, then the value of x is

    • Options
    • A. cosA/(1 + sinA)
    • B. ?[cosA/(1 - sinA)]
    • C. ?[cosA/(1 + sinA)]
    • D. cosA/(1 - sinA)
    • Discuss
    • 6. A square playground measures 1127.6164 sq.m. If a man walks 2 9/20 m a minute, the time taken by him to walk one round around it is approximately.

    • Options
    • A. 50.82 min
    • B. 54.82 min
    • C. 54.62 min
    • D. 50.62 min
    • Discuss
    • 7. Find the odd word / letter / number from the given alternative

    • Options
    • A. 36 - 48
    • B. 56 - 44
    • C. 78 - 66
    • D. 33 - 64
    • Discuss
    • 8. 50% of a = b, then b% of 40 is the same as _________ of a.

    • Options
    • A. 0.25
    • B. 0.16
    • C. 2
    • D. 0.2
    • Discuss
    • 9. If Riya's age is four times the age of Siya and if Riya's age is 24 yrs , find the age difference between Riya and Siya ?

    • Options
    • A. 2 yrs
    • B. 12 yrs
    • C. 18 yrs
    • D. 6 yrs
    • Discuss
    • 10. The volume of a cube is 166.375 cm3. Find its side (in cm).

    • Options
    • A. 6.5
    • B. 4.5
    • C. 7.5
    • D. 5.5
    • Discuss


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