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Home Aptitude Sets and Functions See What Others Are Saying!
  • Question
  • In a class of 50 students, 35 opted for mathematics and 37 opted for Biology. How many have opted for both Mathematics and Biology? How many have opted for only Mathematics? (Assume that each student has to opt for at least one of the subjects).


  • Options
  • A. 15
  • B. 17
  • C. 13
  • D. 19

  • Correct Answer
  • 13 

    Explanation

    Given in the question,
    n(M ? B) = 50, n(M) = 35, n(B) = 37, n(M ? B) =?
    use the below formula
    n(M ? B) = n(M) + n(B) ? n(M ? B)
    We get 50 = 35 + 37 ? n(M ? B)
    ? n(M ? B) = 35 + 37 ? 50 = 72 ? 50 = 22
    ? 22 students have opted for both Mathematics and Biology.
    Again number of students who have opted for only Mathematics = n(M) ? n(M ? B) = 35 ? 22 = 13.


  • More questions

    • 1. 
      If the price of 23 toys is Rs. 276, then what will the price (Rs.) of 12 toys?

    • Options
    • A. 144
    • B. 158
    • C. 159
    • D. 166
    • Discuss
    • 2. 
      .02 =(......?.....)%

    • Options
    • A. 20
    • B. 2
    • C. .02
    • D. .2
    • Discuss
    • 3. 
      If 36 men can do a piece of work in 25 hours, in how many hours will 15 men do it?

    • Options
    • A. 45
    • B. 55
    • C. 60
    • D. 72
    • Discuss
    • 4. 
      2?63 / 11 =233

    • Options
    • A. 4
    • B. 3
    • C. 6
    • D. 5
    • Discuss
    • 5. 
      When 121012 is divided by 12, the remainder is

    • Options
    • A. 0
    • B. 2
    • C. 3
    • D. 4
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    • 6. 
      Aarti can do a piece of work in 6 days. In how many days will she complete three time of work of same type?

    • Options
    • A. 18 days
    • B. 21 days
    • C. 3 days
    • D. 6 days
    • Discuss
    • 7. 
      750.0003 ÷ 19.999 =?

    • Options
    • A. 49
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    • 8. 
      105, 85, 60, 30, 0, - 45, - 90?

    • Options
    • A. 0
    • B. 85
    • C. -45
    • D. 60
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    • 9. 
      Let A = {1, 2, {3, 4}, 5}. Which of the following statements is true?

    • Options
    • A. {3, 4} ? A
    • B. {3, 4} ? A
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    • D. {1, 2, 5} ? A
    • Discuss
    • 10. 
      Two vessels A and B contains milk and water mixed in the ratio 5 : 3 and 2 : 3. When these mixtures are mixed to form a new mixture containing half milk and half water, they must be taken in the ratio ?

    • Options
    • A. 2 : 5
    • B. 3 : 5
    • C. 4 : 5
    • D. 7 : 3
    • Discuss


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