Question : (0.1 × 0.01 × 0.001 × 10⁷) is equal to:

Option 1: 100

Option 2: 10^–1

Option 3: 10^–2

Option 4: 10

Question : 60 discs each of diameter 21 cm and thickness $\frac{1}{3}$ cm are stacked one above the other to form a right circular cylinder. What is its volume in m³ if $\pi=\frac{22}{7}$?

Option 1: 7.62 × 10^–2

Option 2: 8.05 × 10^–3

Option 3: 6.93 × 10^–3

Option 4: 4.25 × 10^–2

Question : The value of (1+ sin⁴ A – cos⁴ A) cosec² A is:

Option 1: –2

Option 2: 2

Option 3: 1

Option 4: –1

Question : What is the value of ‘a’ in the below equation?
{(5 × 5 × 5 × 5 × 5 × 5)⁵ × (5 × 5 × 5 × 5 × 5)⁸} ÷ (5 × 5) = (625)^a

Option 1: 14

Option 2: 17

Option 3: 16

Option 4: 15

Question : If x + y + z = 8, and x² + y² + z² = 20, then the value of x³ + y³ + z³ – 3xyz is _______.

Option 1: 16

Option 2: 10

Option 3: 15

Option 4: –16