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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. 
      The product of two consecutive odd numbers is 19043. Which is the smaller one?

    • Options
    • A. 137
    • B. 131
    • C. 133
    • D. 129
    • Discuss
    • 2. 
      The angle of elevation of the top of a hill from each of the vertices A, B, C of a horizontal triangle is ?. The height of the hill is :

    • Options
    • A. b tan ? cosec B
    • B. a tan ? cosec A 2
    • C. c tan ? cosec C 2
    • D. None of these
    • Discuss
    • 3. 
      From a point on a circular tract 5 Km long A, B and C started running in the same direction at the same time with speeds of 2 1? 2 Km/h, 3 Km/h and 2 Km/h. respectively. Then on the starting point all three will meet again after :

    • Options
    • A. 30 hours
    • B. 6 hours
    • C. 10 hours
    • D. 15 hours
    • Discuss
    • 4. 
      The radius of the wheel of a vehicle is 70 cm. The wheel makes 10 revolutions in 5 seconds. The speed of the vehicle is?

    • Options
    • A. 29.46 km/hr.
    • B. 31.68 km/hr.
    • C. 36.25 km/hr.
    • D. 32.72 km/hr.
    • Discuss
    • 5. 
      A library has two books each having three copies and three other books each having two copies. In how many ways can all these books be arranged in a shelf so that copies of the same book are not separated?

    • Options
    • A. 120
    • B. 180
    • C. 160
    • D. 140
    • Discuss
    • 6. 
      Find the LCM of 1/3, 2/9, 5/6 and 4/27.

    • Options
    • A. 1/54
    • B. 10/27
    • C. 20/3
    • D. 3/20
    • Discuss
    • 7. 
      A runs 1 3? 8 times as fast as B. If A gives B a start of 120 m and they reach the goal at the same time, the goal is at a distance of:

    • Options
    • A. 360 m
    • B. 440 m
    • C. 460 m
    • D. 380 m
    • Discuss
    • 8. 
      124.35 % 8096 =?

    • Options
    • A. 2000
    • B. 10000
    • C. 1000
    • D. 12000
    • Discuss
    • 9. 
      Given that log 10 2 = 0.3010 the value of log 10 5 is?

    • Options
    • A. 0.3241
    • B. 0.6911
    • C. 0.6990
    • D. 0.7525
    • Discuss
    • 10. 
      In a month of 31 days, third Thursday falls on 16th. What will be the last day of the month?

    • Options
    • A. 5th Friday
    • B. 4th Saterday
    • C. 5th Wednesday
    • D. 5th Thirsday
    • Discuss


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