Trick: Above equation can be solved by using following formula
\begin{aligned}
(a^2 + b^2) = \frac{1}{2}((a+b)^2 + (a-b)^2)
\end{aligned}
3. All prime numbers are odd numbers
True
False
Answer: Option B
Explanation:
It is false, 2 is an even number
4. 6897 is divisible by
11 only
19 only
both 11 and 19
neither 11 nor 19
Answer: Option C
5. How many terms are there in 2,4,8,16,....,1024
7
8
9
10
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