Which is smallest prime number

Answer: Option D

Explanation:

It is a GP. with r = 2, ie $$\begin{aligned} 2^1, 2^2, 2^3... \end{aligned}$$
If number of terms is n. Then,
$$\begin{aligned} 2 \times 2^{n-1} = 1024 \end{aligned}$$ =>
$$\begin{aligned} 2^{n-1} = 512 \end{aligned}$$
or $$\begin{aligned} 2 \times 2^{n-1} = 2^9 \end{aligned}$$
so n-1 = 9 => n = 10

Answer: Option B

Explanation:

It is false, 2 is an even number

Answer: Option A

Explanation:

On dividing 427398 by 15 we get the remainder 3, so 3 should be subtracted

Answer: Option A

Answer: Option B

Explanation:

$$\begin{aligned} \frac{abc}{bcd} = \frac{385}{1001} => \frac{a}{d} = \frac{5}{13} \end{aligned}$$ So d = 13