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The range of the function f(x) = log_{10}(1 + x) for the domain of real values of x when 0 ≤ x ≤9 is
For the function h(x) = 10^{1+x} the domain of real values of x where 0 x 9 , the range is
"is perpendicular to " over the set of straight lines in a given plane is
"is the reciprocal of" …….. over the set of nonzero real numbers is
If A has 32 elements, B has 42 elements and AUB has 62 elements, the number of elements in A ∩ B is
In a group of 20 children, 8 drink tea but not coffee and 13 like tea. The number of children drinking coffee but not tea is
The sets V = {x / x+2=0}, R={x / x^{2}+2x=0} and S = {x : x^{2}+x–2=0} are equal to one another if x is equal to
If the universal set E = {x x is a positive integer <25} , A = {2, 6, 8, 14, 22}, B = {4, 8, 10, 14} then
If the set P has 3 elements, Q four and R two then the set P×Q×R contains
A town has a total population of 50,000. Out of it 28,000 read the newspaper X and 23000 read Y while 4000 read both the papers. The number of persons not reading X and Y both is
If A = { 1, 2, 3, 5, 7} and B = {1, 3, 6, 10, 15}. Cardinal number of A~B is
At a certain conference of 100 people there are 29 Indian women and 23 Indian men. Out of these Indian people 4 are doctors and 24 are either men or doctors. There are no foreign doctors. The number of women doctors attending the conference is
Let A = {a, b}. Set of subsets of A is called power set of A denoted by P(A). Now n(P(A) is
Out of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three is
Total = 2000 = 100 %
C = 48 %
T = 54 %
S = 64 %
C ∩ T = 28 %
T ∩ S = 32%
C ∩ S = 30 %
Having all three = C ∩ T ∩ S = ?
None = 6 %
Total = C + T + S  C ∩ T  T ∩ S  C ∩ S + C ∩ T ∩ S + None
=> 100 = 48 + 54 + 64  28  32  30 + C ∩ T ∩ S + 6
=> C ∩ T ∩ S = 18 %
18 % of 2000 = (18/100) * 2000 = 360
360 having all the three
Referred to the data of
Out of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three is
Q. The number of employees having T and S but not C is
Referred to the data of
Out of 2000 employees in an office 48% preferred Coffee (c), 54% liked (T), 64% used to smoke (S). Out of the total 28% used C and T, 32% used T and S and 30% preferred C and S, only 6% did none of these. The number having all the three is
Q. The number of employees preferring only coffee is
Represent the following sets in set notation: – Set of all alphabets in English language set of all odd integers less than 25 set of all odd integers set of positive integers x satisfying the equation x^{2} +5x+7=0 : 
Rewrite the following sets in a set builder form:  A={a, e, i, o, u} B={1, 2, 3, 4 ….} C is a set of integers between –15 and 15.
If V={0, 1, 2, …9}, X={0, 2, 4, 6, 8}, Y={3, 5, 7} and Z={3 7} then Y ∪ Z, (V ∪ Y) ∩ X, (X ∪ Z) ∪ V are respectively: –
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