“Arise! Awake! Stop not till the Goal is reached” 1/1

“Arise! Awake! Stop not till the Goal is reached”
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[CONFI-HS-XI_WB-MP-Set-01/8 Apr’16]
PROBLEMS on SETS
1. a)
b)
c)
d)
e)
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h)
i)
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[FM–45 /Time– 70 min.]
Write the set A = { x : x is an integer, –1 ≤ x < 4} in roster form.
If X and Y are two sets, then X(YX)C equals
a) X
b) Y
c) 
d) None of these
For any two non-empty sets A and B, (A \ B )  (B \ A) is equal to
(a) A\ (A  B)
b) (A  B ) \ (A  B )
c) B \ (A  B)
d) 
If A= { x : x is a multiple of 7} and B = {x : x is a multiple of 11} then A – B is
a) AB
b) A  B
c) A  B
d) A  B
Write the sets in set-builder form: {2, 6, 10, 14, . . . , 398}
Given that A = {x : x is a letter in the word FOLLOW} and B = {y : y is a letter in the word WOLF}
Are the sets A and B equal?
If AB =  , then,
ABc =
a) A
b) Ac
c) Bc
d) 
(A – B)  ( B – A) = ? [ Given A, B, (A–B) and (B–A) are all non–empty sets.]
a) A Bc
b) B Ac
c) 
d) None of these.
For any two non-empty sets A and B, (AB)c  (Ac  B) is equal to
a) Ac
b) Bc
c) 
d) Ac  Bc
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