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  • Question

  • Which of the following sets is non-empty?


  • Options
  • A. A = set of odd natural numbers divisible by 2
  • B. B = {x : x + 5 = 0, x ? N}
  • C. C = set of even prime numbers
  • D. D = {x : 1 < x < 2, x ? N},

  • Correct Answer
  • C = set of even prime numbers 

    Explanation

    A natural number is a number that occurs commonly and obviously in nature. As such, it is a whole, non-negative number. The set of natural numbers, denoted N, can be defined in either of two ways: N = {0, 1, 2, 3, ...}
    As per given option.
    (a) As no odd natural number is divisible by 2, the set A is empty.
    (b) Since no natural number satisfies the equation x + 5 = 0,
    ? B = ?
    (c) Since 2 is an even prime number, i.e., C = {2}, C is not an empty set.
    (d) Since there is no natural number between 1 and 2, D is an empty set.

    • More questions

    • 1. 
      121% of 5103 =?

    • Options
    • A. 6000
    • B. 8000
    • C. 10000
    • D. 4000
      • Discuss
    • 2. Rs. 20 is the true discount on Rs. 260 due after a certain time. What will be the true discount on the same sum due after half of the former time, the rate of interest being the same?

    • Options
    • A. Rs. 10
    • B. Rs. 10.40
    • C. Rs. 15.20
    • D. Rs. 13
      • Discuss
    • 3. 
      The circumcentre of a triangle is always the point of intersection of the :

    • Options
    • A. Medians
    • B. Bisectors
    • C. Perpendiculars
    • D. Perpendiculars dropped from the, vertices on the opposite side of the triangle
      • Discuss
    • 4. The true discount on a bill of Rs. 540 is Rs. 90. The banker's discount is:

    • Options
    • A. Rs. 60
    • B. Rs. 108
    • C. Rs. 110
    • D. Rs. 112
      • Discuss
    • 5. Today is Monday. After 61 days, it will be:

    • Options
    • A. Wednesday
    • B. Saturday
    • C. Tuesday
    • D. Thursday
      • Discuss
    • 6. 
      If the rate of simple interest is 12% per annum the amount that would fetch interest of Rs 6000 per annum is?

    • Options
    • A. Rs 7200
    • B. Rs 72000
    • C. Rs 50000
    • D. Rs 48543.69
      • Discuss
    • 7. A man walked diagonally across a square lot. Approximately, what was the percent saved by not walking along the edges?

    • Options
    • A. 20
    • B. 24
    • C. 30
    • D. 33
      • Discuss
    • 8. 
      75 % of a number when added to 75 is equal to that number. What is the number?

    • Options
    • A. 280
    • B. 400
    • C. 300
    • D. 305
      • Discuss
    • 9. The sum of three numbers is 98. If the ratio of the first to second is 2 :3 and that of the second to the third is 5 : 8, then the second number is:

    • Options
    • A. 20
    • B. 30
    • C. 48
    • D. 58
      • Discuss
    • 10. 
      If 35% of a number is 112, then the number is

    • Options
    • A. 380
    • B. 300
    • C. 320
    • D. 35
      • Discuss

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