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  • Question
  • Of three positive numbers, the ratio of the first and second numbers is 3:4 & that of the second and third numbers is 5:6. The product of the second and third numbers is 4320. What is the sum of three numbers?


  • Options
  • A. 167
  • B. 177
  • C. 187
  • D. 197

  • Correct Answer
  • 177 

    Explanation

    Let the second & third numbers are 2x & 3x respectively.
    ATQ,
    5x*6x = 4320
    30*x*x = 4320
    x*x = 144
    x=12
    Hence, second number = 5x = 5*12 = 60
    Third number = 6x = 6*12 = 72
    Ratio of first & second number = ¾
    Hence, first number = ( ¾)*60 = 45
    Sum of these 3 numbers = 60+72+45 = 177

  • Tags: Bank Exams

    Ratio and Proportion problems


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    • 1. In an army selection process, the ratio of selected to unselected candidates was 6:1. If 30 less had applied and 10 less selected, the ratio of selected to unselected would have been 7:1. How many candidates had applied for the process?

    • Options
    • A. 910
    • B. 1820
    • C. 455
    • D. 2730
    • Discuss
    • 2. If a : b is 32 : 35 and b : c is 21 : 32, then a : c is?

    • Options
    • A. 5 : 3
    • B. 3 : 5
    • C. 1 : 1
    • D. 5 : 7
    • Discuss
    • 3. The ratio of three numbers is 2 : 3 : 5. If the sum of the three numbers is 275, then what is the largest among the three numbers?

    • Options
    • A. 142
    • B. 137.5
    • C. 82.5
    • D. 110.5
    • Discuss
    • 4. P and Q are two alloys which are prepared by mixing tin and lead in the ratio of 12 : 5 and 4 : 3 respectively. If equal quantities of alloys are melted to form athird alloy R, then what is the ratio of tin and lead in alloy R?

    • Options
    • A. 84 : 65
    • B. 57 : 35
    • C. 76 : 43
    • D. 78 : 47
    • Discuss
    • 5. The income of X, Y and Z are in the ratio of 3 : 4 : 2 and their expenses in the ratio of 5 : 5 : 2. If X saves Rs 3000 out of an income of Rs 18000, then whatwill be the saving (in RS) of Y

    • Options
    • A. 4500
    • B. 9000
    • C. 6000
    • D. 7500
    • Discuss
    • 6. If 15% of x is three times of 10% of y, then x:y =

    • Options
    • A. 1:2
    • B. 2:1
    • C. 3:2
    • D. 2:3
    • Discuss
    • 7. The ratio of the ages of two boys is 3:4. After 3 years, the ratio will be 4:5.The ratio of their ages after 21 years will be

    • Options
    • A. 14:17
    • B. 17:19
    • C. 11:12
    • D. 10:11
    • Discuss
    • 8. If A : B = 2 : 5, B : C = 4 : 3 and C : D = 2 : 1, then what is value of A : C : D?

    • Options
    • A. 6 : 5 : 2
    • B. 7 : 20 : 10
    • C. 8 : 30 : 15
    • D. 16 : 30 : 15
    • Discuss
    • 9. What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

    • Options
    • A. 10
    • B. 12
    • C. 8
    • D. 6
    • Discuss
    • 10. Select the related number from the given alternatives. 0.02 : 0.002 :: 1/3 : ?

    • Options
    • A. 0.333
    • B. 1/30
    • C. 0.003
    • D. 3
    • Discuss


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