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Home Aptitude Ratio and Proportion See What Others Are Saying!
  • Question
  • At the university entrance exam, a candidate is admitted according to whether he has passed or failed the test. Of the candidates who are really capable, 80 % pass the test and of the incapable, 30 % pass the test. Given that 40 % of the candidates are really capable, then the proportion of the really capable students who can pass the test to the total students who can pass is about ?


  • Options
  • A. 11/24
  • B. 1/5
  • C. 16/25
  • D. 6/5

  • Correct Answer
  • 16/25 

    Explanation

    If there are total 100 candidates,
    40 candidates are really capable and
    60 candidates are incapable.
    Of the candidates who are really capable = 80%
    40*(80/100)=32 pass the test and
    of the incapable= 30%
    60*(30/100)=18 pass the test.
    Total candidates who passed the test = 32+18 = 50
    The proportion of the really capable students who can pass the test to the total students who can pass = 32/50 = 16/25.

  • Tags: AIEEE, Bank Exams, CAT, GATE, GRE, TOEFL, Analyst, Bank Clerk, Bank PO

    More questions

    • 1. 
      A can complete a piece of work in 10 days, while B alone can complete it in 15 days. They work together for 5 days and rest of the work is done by C in 2 days. If they receive $ 450 for the whole work, how should they divide the money?

    • Options
    • A. $250, $100, $100
    • B. $225, $150, $75
    • C. $200, $150, $100
    • D. $175, $175, $100
    • Discuss
    • 2. 
      The angle of elevation of a tower from a distance 50 m from its foot is 30°. The height of the tower is :

    • Options
    • A. 50 ?3 m
    • B. 50 m ?3
    • C. 75 ?3 m
    • D. 75 m ?3
    • Discuss
    • 3. 
      If 30% of A = 20 % of B, then find the value of A : B?

    • Options
    • A. 1 : 3
    • B. 3 : 2
    • C. 3 : 1
    • D. 2 : 3
    • Discuss
    • 4. 80 litre mixture of milk and water contains 10% milk. How much milk (in litres) must be added to make water percentage in the mixture as 80%?

    • Options
    • A. 8
    • B. 9
    • C. 10
    • D. 12
    • Discuss
    • 5. 
      If log 5 (x 2 + x) - log 5 x = 2 then the value of x is?

    • Options
    • A. 24
    • B. 25
    • C. 23
    • D. 120
    • Discuss
    • 6. The average of 20 numbers is zero. Of them, at the most, how many may be greater than zero?

    • Options
    • A. 0
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    • Discuss
    • 7. 
      Two trains A and B travel from points X to Y and the ratio of the speeds of A to that of B is 2 : 7. Find the ratio of time taken by A and B to reach From X to Y.

    • Options
    • A. 2 : 5
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    • 8. 
      Walking with 3/4 of his usual speed, Sachin covers a certain distance in 2 h more than the time he takes to cover the distance at his usual speed. Find the time taken by him to cover this distance with usual speed.

    • Options
    • A. 5 h
    • B. 6 h
    • C. 9 h
    • D. 4 h
    • Discuss
    • 9. 
      If ? 2 n = 64, then the value of n is?

    • Options
    • A. 2
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    • C. 6
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    • 10. 
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