Question : If $(2000)^{10} = 1.024×10^{k}$, then the value of $k$ is:

Option 1: 33

Option 2: 30

Option 3: 34

Option 4: 31

Question : If $\sqrt{0.04\times 0.4\times a}=0.004\times 0.4\times \sqrt{b},$ then the value of $\frac{a}{b}$ is:

Option 1: $16\times 10^{-3}$

Option 2: $16\times 10^{-4}$

Option 3: $16\times 10^{-5}$

Option 4: $16 \times 10^{-6}$

Question : If $k\left(\tan 45^{\circ} \sin 60^{\circ}\right)=\cos 60^{\circ} \cot 30^{\circ}$, then the value of k is:

Option 1: $1$

Option 2: $2$

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

Option 4: $\sqrt{3}$

Question : If (48 ÷ 72 × 3) – [15 ÷ 8 × (40 – 32) – 10] + 2P = 6 ÷ 2, then find the value of P?

Option 1: 3

Option 2: 4

Option 3: 2

Option 4: 1

Question : Directions: If + means –, – means ×, × means ÷, and ÷ means +, then what will be the value of the following expression?
15 – 2 ÷ 90 × 9 + 10

Option 1: 32

Option 2: 40

Option 3: 30

Option 4: 50

Question : What is the average of the first 29 even numbers?

Option 1: 30

Option 2: 31

Option 3: 32

Option 4: 33