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Home Aptitude Ratio and Proportion Comments

  • Question
  • Two whole numbers are such that the cube of first number exceeds the cube of second by 61 and the ratio of the numbers is 5:4. What is the value of larger number?


  • Options
  • A. 3
  • B. 4
  • C. 5
  • D. 6

  • Correct Answer


  • Tags: Bank Exams, CAT

    Ratio and Proportion problems


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    • 1. Find two numbers such that their mean proportion is 8 and third proportion is 64.

    • Options
    • A. 4 and 8
    • B. 8 and 16
    • C. 8 and 8
    • D. 4 and 16
    • Discuss
    • 2. Profit of Rs 12,400 has to be divided between three partners A, B and C in the ratio 5:7:8. How much does B get (in Rs)?

    • Options
    • A. 4340
    • B. 3440
    • C. 3340
    • D. 4430
    • Discuss
    • 3. If x/y = 2/3, then what is the ratio of (3x + 2y) and (3x ? y)?

    • Options
    • A. 4 : 1
    • B. 3 : 1
    • C. 2 : 1
    • D. 4 : 3
    • Discuss
    • 4. A car travels 80 km in 2 hours and a train travels 180 km in 3 hours . The ratio ofspeed of the car to the train is

    • Options
    • A. 2:3
    • B. 3:2
    • C. 3:4
    • D. 4:3
    • Discuss
    • 5. One of the diagonal of a rhombus is 70% of the other diagonal. What is the ratio of area of rhombus to the square of the length of the larger diagonal?

    • Options
    • A. 3 : 10
    • B. 3 : 20
    • C. 7 : 20
    • D. 7 : 10
    • Discuss
    • 6. The ratio of three numbers is 5 : 6 : 8. If the sum of the three numbers is 380, then what is the smallest among the three numbers?

    • Options
    • A. 75
    • B. 80
    • C. 120
    • D. 100
    • Discuss
    • 7. The flight fare between two cities is increased in the ratio 9:11. What is the increase (in Rs) in the fare, if the original fare was Rs. 18,000?

    • Options
    • A. 22000
    • B. 3600
    • C. 4000
    • D. 20000
    • Discuss
    • 8. A bag has Rs12.9 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio of 3:2:3. How many 50 paise coins are there in the bag?

    • Options
    • A. 9
    • B. 6
    • C. 12
    • D. 3
    • Discuss
    • 9. A profit of Rs. 960 is divided between A and B in the ratio 1/3:1/2. The difference of their profit is :

    • Options
    • A. Rs.120
    • B. Rs.160
    • C. Rs.180
    • D. Rs.240
    • Discuss
    • 10. The third proportional of two numbers 9 and 24 is

    • Options
    • A. 39
    • B. 48
    • C. 72
    • D. 64
    • Discuss


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