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Home Aptitude Ratio and Proportion Comments

  • Question
  • Total number of students in 3 classes of a school is 333 . The number of students in class 1 and 2 are in 3:5 ratio and 2 and 3 class are 7:11 ratio . What is the strength of class that has highest number of students ?


  • Options
  • A. 125
  • B. 155
  • C. 135
  • D. 165

  • Correct Answer
  • 165 

    Explanation

    Ratio C1:C2 = 3:5 and C2:C3 = 7:11
    So C1:C2:C3 = 21 : 35 : 55
    Let the strength of three classes are 21x, 35x and 55x respectively, then
    Given that 21x + 35x + 55x = 333
    => 111x = 333 or x=3
    So strength of the class with highest number of students =55x = 55x3 = 165.

  • Tags: AIEEE, Bank Exams, CAT, Bank Clerk

    Ratio and Proportion problems


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    • 1. Pooja, Shipra and Mounika are three sisters .Pooja and Shipra are twins. The ratio of sum of the ages of Pooja and Shipra is same as that of Mounika alone. Three years earlier the ratio of age of Pooja and Mounika was 2:7 . what will be the age of Shipra 3 years hence?

    • Options
    • A. 21 years
    • B. 16 years
    • C. 8 years
    • D. 12 years
    • Discuss
    • 2. A sum is divided among K, L and M in such a way that for each rupee K gets, L gets 45 paisa and M gets 30 paisa. If the share of L is Rs. 27, what is the total amount ?

    • Options
    • A. Rs. 159
    • B. Rs. 96
    • C. Rs. 147
    • D. Rs. 105
    • Discuss
    • 3. If Rs. 782 be divided into three parts, proportional to 1/2:2/3:3/4, then the first part is:

    • Options
    • A. Rs. 408
    • B. Rs. 204
    • C. Rs. 412
    • D. Rs. 220
    • Discuss
    • 4. A company requires 12,100 strength. Present employees are 400 ladies and 6400 gents. To reach the target how many ladies required to maintain the same ratio ?

    • Options
    • A. 400
    • B. 600
    • C. 900
    • D. 700
    • Discuss
    • 5. If k : l = 4 : 3 and l : m = 5 : 3, then find k : l : m ?

    • Options
    • A. 18 : 24 : 11
    • B. 9 : 15 : 1
    • C. 20 : 15 : 9
    • D. 21 : 7 : 3
    • Discuss
    • 6. At a game of billiards, A can give B 20 points in 60 and A can give C 15 points in 60. How many points can C give B in a game of 90 ?

    • Options
    • A. 9 points
    • B. 10 points
    • C. 11 points
    • D. 8 points
    • Discuss
    • 7. The ratio between the number of sheep and the number of horses at the Stewar farm is 4 to 15. If each of horse is fed 110 ounces of horse food per day and the farm needs a total 13200 ounces of horse food per day. what is number sheep in the form ?

    • Options
    • A. 32
    • B. 36
    • C. 44
    • D. 52
    • Discuss
    • 8. What will be the average of the first 5 positive even numbers divisible by 9?

    • Options
    • A. 50
    • B. 54
    • C. 48
    • D. 62
    • Discuss
    • 9. On her deathbed, a grand mother called upon his three grand sons and told them to distribute all her assets worth Rs. 52,500 in the ratio of 1/35 : 1/21 : 1/15 amongst themselves. Find the smallest share amongst the three portions ?

    • Options
    • A. Rs. 5422
    • B. Rs. 10,500
    • C. Rs. 12,800
    • D. Rs. 15,000
    • Discuss
    • 10. A Product is supported each week by the same three Product supporters. Last month the first supporter took 440 calls, the second took 360 calls, and the third took 300 calls. This month the job will consists of 1500 calls. If the three supporters each increase their work proportionately, how many more calls will the second supporter take this month than last month ?

    • Options
    • A. 131 calls
    • B. 160 calls
    • C. 491 calls
    • D. 600 calls
    • Discuss


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