Tag: maths

Let $S={1,2,3,4,5,6,7}$ and let $A={2,5,7}$ then $A'$ is

If AandB are subsects of the universal set X and n(X)=$50,$n(A)=$35$,n(B)=20 Find

For any two sets A and B, A' - B' is equal to

If the universal set is U = $ \displaystyle \left { 1^{2},2^{2},3^{2},4^{2},5^{2},6^{2} \right }  $   What is the complement of the intersection of set A = $ \displaystyle \left { 2^{2},4^{2},6^{2} \right }  $ and set B=$ \displaystyle \left { 2^{2},3^{2},4^{2} \right }  $ ?  

$|x|$ represent number of elements in region X. Now the following conditions are given
$|U|=14$, $|(A-B)^C|=12$, $|A\cup B|=9$ and $|A\Delta B|=7$, where A and B are two subsets of the universal set U and $A^C$ represents complement of set A, then?

In a battle $70\% $ of the combatants lost one eye, $80\% $ an ear, $75\% $ an arm, $85\% $ a leg and $x\% $ lost all the four limbs the minimum value of $x$ is 

Two hours later would be as long until midnight. What time is it now?

Statement-I: The point $A(3,1,6)$ is the mirror image of the point $B(1,3,4)$ in the plane $x-y+z=5$.
Statement-2: The plane $x-y+z=5$ bisects the line segment joining $A(3,1,6)$ and $B(1,3,4)$.

If the points $(1,2,3)$ and $(2,-1,0)$ lie on the opposite sides of the plane $2x+3y-2z=k$, then

If the planes $x - cy - bz = 0,cx - y + az = 0\,$ and $bx + ay - z = 0$ pass through a stright line,then the value of ${a^2} + {b^2} + {c^2} + 2abc\,$ is: