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Home Aptitude Sets and Functions See What Others Are Saying!
  • Question
  • If A = {a, d}, B = {b, c, e} and C = {b, c, f}, then A × (B - C) =


  • Options
  • A. (A × B) - (A × C)
  • B. (A × B)
  • C. A × C
  • D. None of these

  • Correct Answer
  • (A × B) - (A × C) 

    Explanation

    we can calculate below as per given question,
    we can calculate below as per given question,
    (B ? C) = { b, c, e } ? { b, c, f } = { e }
    A × (B ? C) = { a, d } x { e }
    (A × B) = { a, d } x { b, c, e }
    (A × C) = { a, d } x { b, c, f }
    ? A × (B ? C) = {(a, e), (d, e)} ...........?(1)
    Also, (A × B) ? (A × C) = {(a, e), (d, e)} ..........?(2)
    Hence, from (1) and (2), we have
    A × (B ? C) = (A × B) ? (A × C).


  • 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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