Question : How thick is the lithosphere?

Option 1: 25 to 45 kilometres

Option 2: 10 to 25 kilometres

Option 3: 10 to 200 kilometres

Option 4: 5 to 10 kilometres

Question : If a : b = 4 : 5 and b : c = 3 : 10, then a : c is:

Option 1: 4 : 10

Option 2: 5 : 3

Option 3: 25 : 6

Option 4: 6 : 25

Question : Directions: Pranav went 10 kilometres to the north. Then he turned West and covered 10 kilometres. Then he turned south and covered 5 kilometres. Finally, he turned to the east and covered 10 kilometres. In which direction is he from the starting point?

Option 1: South

Option 2: North

Option 3: East

Option 4: West

Question : What is the value of $3 \sin ^2 30^{\circ}+\frac{3}{5} \cos ^2 60^{\circ}–2 \sec ^2 45^{\circ} $?

Option 1: $-\frac{5}{2}$

Option 2: $-\frac{5}{8}$

Option 3: $-\frac{31}{10}$

Option 4: $-\frac{25}{17}$

Question : Find the simplified value of the given expression.
$4 \frac{4}{5} ÷ \frac{3}{5} \text { of } 5+\frac{4}{5} \times \frac{3}{10}-\frac{1}{5}$

Option 1: $1 \frac{4}{5}$

Option 2: $5$

Option 3: $1 \frac{16}{25}$

Option 4: $6$

Question : The value of $\tan 5^{\circ} \tan 25^{\circ} \tan 45^{\circ} \tan 65^{\circ} \tan 85^{\circ}$ is ______.

Option 1: 4

Option 2: 3

Option 3: 1

Option 4: 2