For any three sets A1 , A2 ,A3 . Let B1 ...

For any three sets `A_1 , A_2 ,A_3 `. Let `B_1 = A_1 , B_2 = A_2 - A_1 and B_3 = A_3 - A_1 cup A_2` , then which of the following statement is always true ?

`A_1 cup A_2 cup A_3 sup B_1 cup B_2 cup B_3`

`A_1 cup A_2 cup A_3 = B_1 cup B_2 cup B_3`

`A_1 cup A_2 cup A_3 sub B_1 cup B_2 cup B_3`

none of these

Text Solution

AI Generated Solution

Topper's Solved these Questions

GGSIPU MATHEMATICS 2005
IPUCET PREVIOUS YEAR PAPERS|Exercise MCQ|52 Videos

Similar Questions

Explore conceptually related problems

Consider the following statements : A number a_1 a_2 a_3 a_4 a_5 is divisible by 9 if 1. a_1 + a_2 + a_3 + a_4 + a_5 is divisible by 9. 2. a_1 - a_2 + a_3 - a_4 + a_5 is divisible by 9. Which of the above statements is/are correct?

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

If in the determinant Delta=|[a_1,b_1,c_1],[a_2,b_2,c_2],[a_3,b_3,c_3]|,A_1,B_1,C_1 etc. be the co-factors of a_1,b_1,c_1 etc., then which of the following relations is incorrect-

a_1, a_2, a_3 …..a_9 are in GP where a_1 lt 0, a_1 + a_2 = 4, a_3 + a_4 = 16 , if sum_(i=1)^9 a_i = 4 lambda then lambda is equal to

Let log_2N=a_1+b_1,log_3N=a_2+b_2 and log_5N=a_3+b_3 , where a_1,a_2,a_3notin1 and b_1,b_2 b_3notin [0,1) . If a_1=6,a_2=4 and a_3=3 ,the difference of largest and smallest integral values of N, is

An equivalence relation R in A divides it into equivalence classes A_1 ,A_2 ,A_3 What is the value of A_1 uu A_2 uu A_3 and A_1 nn A_2 nn A_3

Three rectangles A_1, A_2 and A_3 have the same area. Their lengths a_1, a_2 and a_3 respectively are such that a_1

Suppose four distinct positive numbers a_1,a_2,a_3,a_4 are in G.P. Let b_1=a_1,b_2=b_1+a_2,b_3=b_2+a_3 and b_4=b_3+a_4 . Statement -1 : The numbers b_1,b_2,b_4 are neither in A.P. nor in G.P. and Statement -2 : The numbers b_1,b_2,b_3,b_4 are in H.P.

If (a_2 a_3)/(a_1 a_4) = (a_2 + a_3)/(a_1 + a_4) = 3 ((a_2 - a_3)/(a_1 - a_4)) then a_1, a_2, a_3, a_4 are in

IPUCET PREVIOUS YEAR PAPERS-GGSIPU MATHEMATICS 2004-MCQ

Which of the following statement is acontradiction (p ^^ q)^^(~(p vv ...
Text Solution
|
The period of f(x)=sin((pix)/(n-1))+ cos ((pix)/(n)), n in Z, n gt 2,...
Text Solution
|
The radius of the circle whose arc of length 15 km makes an angle of 3...
Text Solution
|
If 3^(x)+2^(2x) ge 5^(x), then the solution set for x, is
Text Solution
|
The number of integral solutions of (x+1)/(x^2+2)>1/4 is
Text Solution
|
The value of k for which the equation (k-2) x^(2) + 8x + k + 4 = 0 has...
Text Solution
|
The triangle PQR of which the angles P,Q,R satisfy cos P = (sin Q)/(2...
Text Solution
|
The function f(x)=[x^2] (where [y] is the greatest integer less tha...
Text Solution
|
A function f(x) =(x^(2) -3x +2)/(x^(2)+ 2x -3) is
Text Solution
|
The locus of the point P(x,y) satisfying the relation sqrt((x-3)^2+(y-...
Text Solution
|
If z1,z2 and z3 are complex numbers such that |z1|=|z2|=|z3|= |1/z1+1/...
Text Solution
|
If a(1),a(2),a(3) be any positive real numbers, then which of the foll...
Text Solution
|
If ab=2a+3b, agt0, b gt0, then the minimum value of ab is
Text Solution
|
If f(x)=cos[pi^2]x , where [x] stands for the greatest integer functio...
Text Solution
|
Let f(x) = (x^2 - 4)/(x^2 + 4) , for |x| ge 2 , then the function f: ...
Text Solution
|
The function f(x) = sin| log (x + sqrt(x^2 + 1)) | is :
Text Solution
|
Find the range of f(x)=sec(pi/4cos^2x), where -oo<x<oo
Text Solution
|
For any three sets A1 , A2 ,A3 . Let B1 = A1 , B2 = A2 - A1 and B3 = A...
Text Solution
|
the domain of the function f(x) = (sin ^(-1) (3 - x) )/(log (x -2) ...
Text Solution
|
Write the remainder obtained when 1! + 2! + 3! + ..... + 200! is divid...
Text Solution
|