Question

Find the number in place of P in the following number series:

$188186P174158126$

Now, find the value of the expression $\sqrt{P-13}$.

• A. $14.03$
• B. $14.10$
• C. $13.00$
• D. $13.67$

Answer 1

Answer: (C)

$13.00$

Series$\to 188186P174158126$

Common differences are,

$186-188=-2,P-186,174-P,158-174=-16$ and $P-186,174-P,158-174=-16$

differences are in increasing order with negative sign

so differences are ${-2}^1,P-186,P-174,{-2}^4,-2^6$

So,$P-174=2^{3}orP-186=2^{2}P=174+8orP=186-4=182P=182$

Value of $\sqrt{P-13}=\sqrt{182-13}=\sqrt{169}=13$

Answer $\left(C\right)$.