There are four prime numbers written in ascending order. The product of first three is 385 and that of last three is 1001. The last number is:

Answer: Option C

Explanation:

3*6*9 = 162

Answer: Option C

Explanation:

(1056 / 23) gives remainder 21

21 + 2 = 23, So we need to add 2

Answer: Option C

Explanation:

$$\begin{aligned} \frac {1}{2}\times 2(a^2 + b^2) = \frac {1}{2} \times [(a + b)^2 + (a - b)^2] \end{aligned}$$
$$\begin{aligned} = \frac {1}{2} \times [(217 + 183)^2 + (217 - 183)^2] = 80578 \end{aligned}$$

Answer: Option A

Answer: Option C

Explanation:

Required digit is =

$$\begin{aligned} (4)^{102} + (4)^{103} \end{aligned}$$
as $$\begin{aligned} (4)^2 \end{aligned}$$ gives unit digit 6 so $$\begin{aligned} (4)^{102} \end{aligned}$$ unit digit is 6 and $$\begin{aligned} (4)^{103} \end{aligned}$$ unit digit is, unit digit of $$\begin{aligned} 6 \times 4 \end{aligned}$$ = 4, so answer will be unit digit of 6 + 4 = 0