NDA MATHS QUESTION BANK

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  1. Let U= {x :1 } be
    the universal set, ‘N’ is set of
    natural numbers. If A= {1, 2, 3, 4},
    B= {2, 3, 6, 10} Find complement
    of (A-B)
    (a) {6, 10} (b) {1, 4} (c) {2, 3, 5, 6,
    7, 8, 9, 10} (d) {5, 6, 7, 8,9, 10}




  2. Let A= {x:x is a square of
    natural number and x<100}?
    B= {set of even natural numbers}
    Find cardinality of AnB.
    (a) 4 (b) 5 (c) 9 (d) None




  3. The set A= {x:x+4=4} can also
    be represented by
    (a) 0 (b) ø (c) {ø} (d) {0}




  4. Let A= {0, 1}, B= {1, 0}, find
    A×B
    (a) {(0, 1), (1, 0)} (b) {(0, 0), (1,
    1)} (c) {(0, 1), (1, 0), (1, 1)} (d)
    A×A




  5. If A and B are two sub sets of
    set X, then Find A (AUB)’.
    (a) A (b) B (c) (d) A’




  6. The set {2, 4, 16, 256,......} can
    be represented as which one of
    the following?
    (a) {x where n N} (b)




{x where n= 0, 1, 2....}


(c) {x where n= 0, 1,
2....} (d) {x where n=
0, 1, 2, ......}

45. Let P= Set of all integral
multiplies of 3.
Q= set of all integral multiplies of
4.
R= set of all integral multiplies of
6.
Consider the following relations
(I) PUQ= R
(II) PCR
(III) RC(PUQ)
Which of the above relations
is/are correct?
(a) I only (b) II only (c) III only
(d) II and III

46. Let two sets ‘A’ and ‘B’ have 2n
and 4n elements respectively.
Where ‘n’ is a natural number.
What is the minimum number of
elements in AUB?
(a) 2n (b) 3n (c) 4n (d) 6n

47. Two number of subsets of a
finite set A has 56 more elements
then the total number of subsets
of another finite set ‘B’. What is
the number of elements in set ‘A’
and ‘B’ respectively?
(a) 5, 2 (b) 6, 3 (c) 4, 2 (d) 8, 3
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