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  • Question
  • In a certain office, 72% of the workers prefer cold drink and 44% prefer tea. If each of them prefers cold drink or tea and 40 like both, then the total number of workers in the office is:


  • Options
  • A. 40
  • B. 240
  • C. 220
  • D. 210

  • Correct Answer
  • 40 

    Explanation

    72% + 44% = 116%
    ? 16% ? 40
    ? 100% ? 40 100 16 × = 250
    Hence, 16% workers are there who prefer both drinks which are 40 in number.


  • Sets and Functions problems


    Search Results


    • 1. 
      In an examination, 40% students failed in Hindi, 50% students failed in English. If 21% students failed in both the subjects, find the percentage of those who passed in Hindi.

    • Options
    • A. 31%
    • B. 40%
    • C. 55%
    • D. 60%
    • Discuss
    • 2. 
      The Cartesian product A × A has 9 elements and two of them are (-1, 0) and (0, 1). Find the set A?


    • Options
    • A. A = {0, 1}
    • B. A = {-1, 0, 1}
    • C. A = {0, -1}
    • D. A = {1, -1,}
    • Discuss
    • 3. 
      Let A = {1, 2}, B = {2, 3}. Evaluate A × B.

    • Options
    • A. {(2, 1), (3, 1), (2, 3)}
    • B. {(1, 2), (1, 3), (2, 3)}
    • C. {(1, 2), (1, 3), (2, 2), (2, 3)}
    • D. None of these
    • Discuss
    • 4. 
      If S and T are two sets such that S has 21 elements, T has 32 elements, and S ? T has 11 elements, how many elements does S ? T have?

    • Options
    • A. 52
    • B. 32
    • C. 42
    • D. None of these
    • Discuss
    • 5. 
      If U = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11}, A = {3, 5, 7, 9, 11} and B = {7, 8, 9, 10, 11}, Then compute (A ? B)?.


    • Options
    • A. {2, 3, 5, 7, 9, 11, 12}
    • B. {2, 4, 6, 8, 10, 11, 12}
    • C. {2, 4, 6, 8, 9, 10, 11}
    • D. None of these
    • Discuss
    • 6. 
      In a survey of a town, it was found that 65% of the people surveyed watch the news on T.V. 40% read a newspaper and 25% read a newspaper and watch the news on T.V. What per cent of the people surveyed neither watch the news on T.V. nor read a newspaper?

    • Options
    • A. 5%
    • B. 10%
    • C. 20%
    • D. 15%
    • Discuss
    • 7. 
      ? 64009 is equal to :

    • Options
    • A. 352
    • B. 523
    • C. 253
    • D. 532
    • Discuss
    • 8. 
      There were 600 students in a school. Each offered either English or Hindi or Both . If 75% offered English and 45% Hindi, how many offered both?

    • Options
    • A. 48
    • B. 60
    • C. 80
    • D. 120
    • Discuss
    • 9. 
      If A = { 2 , 3 , 5 , 7 , 11 } and B = { 1, 3, 5, 7, 9, 11} then what is the value of A? B ?

    • Options
    • A. { 2, 3, 5, 7, 11 }
    • B. { 1, 3, 5, 7, 9, 11}
    • C. { 3, 5, 7, 11}
    • D. { 2, 3, 5, 7, 9, 11}
    • Discuss
    • 10. 
      If the number of items in a set A is n(A) = 40. If n(B) = 26 and n(A ? B) = 16 then n(A ? B) is equal to:

    • Options
    • A. 30
    • B. 40
    • C. 50
    • D. 60
    • Discuss


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