Question

Calculate the value of N in the given series and then find the value of x using the given equation. 

99  163  N  248  273  289

If \(\sqrt{2N+17} \) = x, then x equals

(a) 20.5

(b) 20.0

(c) 21.5

(d) 21.0

Answer 1

Correct option is (d) 21.0

In given series difference between previous number and next number is square root of 8, 7, 6, 5 and 4

So N will be 212

Now As given,

\(\sqrt{2N + 17} = x\)

\(\sqrt{2\times 212 + 17}=x\)

\(\sqrt{441} = x\)

\(x = 21.0\)

Answer 2

The answer is: (d) 21.0