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AFCAT - Elementary Mathematics Set Test 1202
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AFCAT - Elementary Mathematics Set Test 1202
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  • Question 1/5
    1 / -0.33
    In a group of 900 people, there are 800 people who can speak Punjabi and 500 who can speak English. How many can speak Punjabi only?
    Solutions

    Total people = 900

    People who speak Punajbi , n(P) = 800

    People who speak English, n(E) = 500

    n( =

    Now number of people who can speak Punjabi only = 800 – 400 = 400

  • Question 2/5
    1 / -0.33
    If X = {a, {b}, c},

    Y = {{a}, b, c} and

    Z = {a, b, {c)},

    then (X ∩ Y) ∩ Z equals to

    Solutions

    X = {a, {b}, c}, Y = {{a}, b, c} and Z = {a, b, {c)}

    Now,

    Z = {a, b, {c)}

    Hence, (X ∩ Y) ∩ Z = ∩ {a, b, {c)} = Φ

  • Question 3/5
    1 / -0.33
    Which of the following statements is/are correct for any two sets A and B?

    I. (A∪B)′=A′∩B′

    II. (A∩B)′=A′∪B′

    III. (A−B)=A∩B′

    Solutions

    1. De-morgans law:

    For any two sets A and B, we have (A∪B)′=A′∩B′ and (A∩B)′=A′∪B′

    A – B = {c | c ∈ A and c ∉ B} = A ∩ B’

    Option D is correct.

  • Question 4/5
    1 / -0.33
    Consider the following statements:

    I. If A = {2,3,4} then the number of possible subsets of A will be 6

    II. Every subset of a finite set is finite.

    III. Best actors of India is a set.

    Which of the above statement(s) is/are wrong

    Solutions

    Consider statement I

    A = {2,3,4}

    If a set has n elements then the possible number of subsets will be

    So set A has 3 elements so the number of possible subsets of A will be

    So statement I is wrong.

    Consider statement II

    Every subset of a finite set is finite.

    The above statement is true.

    Consider statement III -Best actors of India is a set.

    We know that set is a well-defined collection of objects. But the set of best actors is not well defined because for every person the best actors are different. So it is not a set.

    So statement III is wrong.

  • Question 5/5
    1 / -0.33
    Which of the following is a null set?
    Solutions
    Null set: Null set is a set which does not contain anything.

    Consider option A: {0}

    Above set is a singleton set which contains a single element, i.e. 0.

    Consider option B: {t : t > 0 or t < 0}

    Above set is an infinite set which contain every element greater than zero or less than zero

    Consider option C:

    But it is given that t can only take real values.

    So, it is a null set

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