Download App

SETS — MATHS STD 11 Science — Question

Gujarat BoardEnglish MediumSTD 11 ScienceMATHSSETS1 Mark
MCQ
Let U be the universal set containing 700 elements. If A, B are subsets of U such that $\text{n(A)}=200,\text{ n(B)}=300$ and $\text{n(A}\cap\text{B)}=100.$ Then, $\text{n(A}'\cap\text{B}')=$
  • A
    400
  • B
    600
  • ✓
    300
  • D
    None of these.
✓

Answer

Correct option: C.
300
$\text{n(A}'\cap\text{B}')=\text{n(A}\cup\text{B}')$
$=\text{n(U)}-\text{n(A}\cup\text{B})$
$=700 - 200 + 300 - 100 = 300.$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from SETS→SETS — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

Each set $X_r$ contains $5$ elements and each set $Y_r$ contains $4$ elements and
$\bigcup\limits_{r = 1}^{24} {{X_r} = S = \bigcup\limits_{r = 1}^n {{Y_r}} }$ If each element of set $S$ belong to exactly $10$ of the $X_r's$ and to exactly $6$ of $Y_r's$, then $n$ is (where $\bigcup\limits_{r = 1}^{24} {X_r}$ denotes  $X_1 \cup X_2 \cup X_3 \cup ....... \cup X_{24})$
→
The locus of a point which moves in such a way that its distance from $(0,0)$ is three times its distance from the $x$-axis, as given by
→
One card is drawn from a pack of $52$ cards. The probability that it is a king or diamond is
→
The length of the normal chord to the parabola ${y^2} = 4x$, which subtends right angle at the vertex is
→
All the pairs $(x, y)$ that satisfy the inequality ${2^{\sqrt {{{\sin }^2}{\kern 1pt} x - 2\sin {\kern 1pt} x + 5} }}.\frac{1}{{{4^{{{\sin }^2}\,y}}}} \leq 1$ also Satisfy the equation
→
If $tan\, \alpha = \frac{{{x^2} - x}}{{{x^2} - x + 1}}$ and $tan \, \beta =$ $\frac{1}{{2{x^2} - 2x + 1}}$ $(x \ne 0, 1)$, where $0 < \alpha , \beta < \frac{\pi }{2}$, then $tan(\alpha + \beta )$ has the value equal to :
→
The number of points of intersection of the two curves $y = 2\sin x$ and $y = 5{x^2} + 2x + 3$ is
→
A student is allowed to select at most $n$ books from a collection of $(2n + 1)$ books. If the total number of ways in which he can select one book is $63$, then the value of $n$ is
→
The points on the $x$-axis whose perpendicular distance from the line $\frac{x}{a} + \frac{y}{b} = 1$ is a, are
→
Let,$S=\left\{\theta \in[0,2 \pi]: 8^{2 \sin ^{2} \theta}+8^{2 \cos ^{2} \theta}=16\right\}$. Then $n ( S )+\sum_{\theta \in S}\left(\sec \left(\frac{\pi}{4}+2 \theta\right) \operatorname{cosec}\left(\frac{\pi}{4}+2 \theta\right)\right)$ is equal to.
→