Question
If $A=\{1, 3, 7, 9, 11\}$ and $B=\{3, 9, 12, 15, 18\}$, then $A\cap B$ is :
The correct answer is
$\{3, 9\}$
Set Intersection Calculation for Sets $A$ and $B$
The problem requires finding the intersection of two sets, $A$ and $B$. The intersection of sets, denoted as $A \cap B$, includes all elements that are common to both set $A$ and set $B$.
Given Sets
Set $A$ is defined as $ A = \{1, 3, 7, 9, 11\} $.
Set $B$ is defined as $ B = \{3, 9, 12, 15, 18\} $.
Identifying Common Elements
To compute $A \cap B$, we examine the elements listed in both sets and identify those that appear in both.
- Element $1$ is in $A$ but not in $B$.
- Element $3$ is present in both $A$ and $B$.
- Element $7$ is in $A$ but not in $B$.
- Element $9$ is present in both $A$ and $B$.
- Element $11$ is in $A$ but not in $B$.
- Elements $12$, $15$, and $18$ are in $B$ but not in $A$.
Intersection Result
The elements that are common to both Set $A$ and Set $B$ are $3$ and $9$. Therefore, the intersection $A \cap B$ is the set containing these common elements.
$ A \cap B = \{3, 9\} $
Was this answer helpful?
Important Questions from Miscellaneous
- Which of the following relationships is/are not true?
(A). Most probable velocity = $\sqrt{\frac{2RT}{M}}$
(B). PV = $\frac{3}{2}kT$
(C). Compressibility factor Z = $\frac{pV}{nRT}$
(D). Average kinetic energy of gas = $\frac{1}{2}kT$
Choose the correct answer from the options given below - Match List-I with List-II
List-I List-II Electronic Configuration First Ionisation energy (kJ mol$^{-1}$) (A). ns$^2$ (I). 2100 (B). ns$^2$np$^1$ (II). 1400 (C). ns$^2$np$^3$ (III). 800 (D). ns$^2$np$^6$ (IV). 900
Choose the correct answer from the options given below: - The shielding constant of a 2p electron (calculated using Slater's rules) is
- Match List-I with List-II
List-I List-II Spectroscopy Property (A). Raman (I). Polarizability (B). FTIR (II). Dipole Moment (C). UV-Visible (III). Absorbance (D). NMR (IV). Spin
Choose the correct answer from the options given below: - The structure of protein comprises of:
(A). Primary structure of protein is associated with amino acids
(B). Secondary structure of protein is associated to peptides
(C). Tertiary structure of protein is associated with polypeptide chains
(D). Quaternary structure of protein is associated with polypeptide chains
Choose the correct answer from the options given below:
Need Expert Advice?
