Question : Water will not vapourise if:

Option 1: the temperature is 0⁰C

Option 2: the humidity is 0%

Option 3: the humidity is 100%

Option 4: the temperature is 100⁰C

Question : If a + b + c = 6 and a² + b² + c² = 38, then what is the value of a(b² + c²) + b(c² + a²) + c(a² + b²) + 3abc?

Option 1: 3

Option 2: 6

Option 3: –6

Option 4: –3

Question : In $\triangle \mathrm{ABC}, \angle \mathrm{A}=54^{\circ}$. If I is the incentre of the triangle, then the measure of $\angle \mathrm{BIC}$ is:

Option 1: 68^o

Option 2: 54^o

Option 3: 148^o

Option 4: 117^o

Question : Which of the following pairs is correct?

Option 1: 23.5^o South - Tropic of Cancer

Option 2: 23.5^o South - Tropic of Capricorn

Option 3: 23.5^o North - Tropic of Capricorn

Option 4: 66^o North - Antarctic Circle

Question : Solve for $\theta: \cos ^2 \theta-\sin ^2 \theta=\frac{1}{2}, 0<\theta<90^{\circ}$.

Option 1: 45^o

Option 2: 60^o

Option 3: 30^o

Option 4: 40^o