Question : Potassium is a chemical element with the symbol:

Option 1: Na

Option 2: S

Option 3: Ca

Option 4: K

Question : What is the ratio of inradius and circumradius of an equilateral triangle?

Option 1: 1 : 2

Option 2: 1 : 3

Option 3: 1 : 4

Option 4: 3 : 2

Question : ABCD is a square. Draw an equilateral $\triangle $PBC on side BC considering BC is a base and an equilateral $\triangle $QAC on diagonal AC considering AC is a base. Find the value of $\frac{\text{area of $\triangle PBC$}}{\text{area of $\triangle QAC$}}$.

Option 1: $\frac{1}{2}$

Option 2: $1$

Option 3: $\frac{1}{3}$

Option 4: $\frac{1}{4}$

Question : Which of the following is a major component of water pollution in the Bengal Basin?

Option 1: Chromium

Option 2: Arsenic

Option 3: Calcium

Option 4: Potassium

Question : Let $\triangle {ABC} \sim \triangle {RPQ}$ and $\frac{\operatorname{ar}(\triangle A B C)}{\operatorname{ar}(\triangle P Q R)}=\frac{4}{9}$. If ${AB}=3 {~cm}, {BC}=4 {~cm}$ and ${AC}=5 {~cm}$, then ${PQ}$ (in ${cm}$ ) is equal to:

Option 1: 12

Option 2: 4.5

Option 3: 5

Option 4: 6