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If aN = {ax/xeN) and bN OcN = dN Where b,c & N are relatively prime then, (a) d=be (b) c=bd (c) b=cd (d) a=bd, , Two finite sets have m and n element respectively The total number of subsets, of first set is 112 more than the total number of sub sets of the second set, The value of m and n respectively are, , (a) 5,2 (b) 4,7 (c) 7,4 (d) 2,5, , A survey shows that 70% of the Indian like mango wheres 82% like apple. If, x% of Indian like both mango and apples then, , (a)x=52 (b)52<x<70 (c)x=70 (d) 70<x< 82, If XU{3, 4} ={1.2,3,4,5,6} the which of the following is true, (a) Smallest set X = {1,2,5,6} (b) Smalest set X= {1,2,3,5,6)}, , (c) Smallest set X= {1,2,3,4} (d) Greatest set X= [1,2,3,4}, , are having 43 elements in comman,, ‘h of the sets Ax B and BxA, , 438 ;, , n the number of, , , , , , , , , Scanned with CamS
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Let X =[(x, y,, yzeN,y=|x-Z, , (a) ((2,3.5)} (b) {(1,4,, In a certain town 30% families a scooter and 40% on a car 50% own, , neither a scooter nor a car 2000 families own both a scooter and car consider, the following statements in this regard, , (1) 20% families own both scooter and car, (2) 35% families own cither a car or a scooter, (3) 10000 families live in town Which of the above statement are correct ?, (a)2 and3 (b) 1,2 and3 (c) 1 and2 (dd) 1 and3, , Let A={0 : tan 0 + sec @ = V2 sec 6} and B = (0: sec 0- tan @= V2 tan@), be two sets then., , (a) A=B (b) AC B(c) A# B(d) BCA, , Scanned with CamS
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10., , 12., , 13., , If set A is empty set then n[P[P[P(A)]]]= A, , (a) 6(b) 16 (c) 2 (d) 4, , A and B are two sets n(A-B) = 8 + 2x, n(B-A) = 6x and n(A 4 B)=x If, n(A) = n(B) then n(A OB) =..., , (a) 26 =(b) 50 = (c) 24 — (d) none of these, , A=((a,b) / b = 2a - 5} If (m,5) and (6,n) are the member of set A then m and, n are respectively, , (a) 5,7) (b) 7,5 (ce) 2,3 (d) 5,3, There are three-three sets are given in column-A and column-B, (1) (LAT) (A) {xix ez, <5), , , , , , (2) {xez/x'-x =O} (B) (xf is a letter of the word LATA’ oe, : “a 8/36 eo, , (3) {-2,-1) {sin 0, sin 8, tan) c eo, , which one o}, , (a) 1-A 2-B, <2-C, 3-A (d) 1-A, 2-C, 3-B, , Scanned with CamS
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14, , 15., , 16., , it., , , , , , , If S, = {1,2,3,....,20), S,, (S,x S,) U(S, x S,) is, , & (ade eA moe of elements of, (a) 100 (b) 120 (c) 140 (d) 40, , For two events A and B which of the following is simple expresion of, (A MB) U(AB') U(A' OB)?, , (a) AN B(b) AU B(c) A'NB' (dd) ANB, , In a collage of 400 students every students read 5 newspapers and every news, paper is read by 80 students, The number of news paper is, , (a) 25 (b) at the most 20 (c) at the most 25 (d) at least 25, If A=(x/x? =1} and B = {x/x* =1) then A AB is equal to (x € C), (a) {-1,1i,-i} (b) (-1,1) (c) {i, -i}(d) (-1,1,i), , If A=((x,y) /|x-3| <1, |y-3|<1,x,y © R} and B = {(x,y) / 4x7 + 9y? - 32x, - 54y + 109 < 0, x, y € R} then which of the following is true, , (a) A is a proper sub set of B (b) B is a proper sub set of A, , = d) A'=B, (c)A=B tO, , Scanned with CamS
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19., , 20., , 21., , 22., , 23., , 24,, , If A=(n° + (n+1)' + (n+z)'; n © N) and B = (9n, n € N) then, (a) ACB (b()BCA = (c) A=B (d) A'=B, , Tf U=(1,2,3} and A=(1,2} then [P(A)]' = .......-00++, , (a) { (3), (2,3), (1,3), (1,21, 0}, , (b) { (3), {2,3}, (1,3), 1,2,3} }, , (c) { (3), {2,3}, (1,3), {1,2,3}, >}, , (d) ( {3}, (2,3), (1,3), (1,29), , If n(A)=6 and n (B)=4 then minimum value of n(A-B) is, , (a) 2 (b) 7 (c) 6 (d) 4, If A={x € R / f(x)=0} and B={x € R / g(x) = 0) then ACB =..., {a) ¢ (b) {x — R / f(x)=0}, , (c) {x ER/ f(x) +e) =0 (d) {xe R/ xP + give = 0), If n(A)=3, n(B)-5 and n(A B)=2 then n [((A x B) M(B x A)] =, (c) 4 (d) 6, , (a) 5 (b) 3, If A and /e\sets then B - (B - A) =..., (a) (A-B) (A-B))(c) A ad, , Scanned with CamS, , 9/36