$2, 3, 13, 5, 7, 74, 11, 13, ?$

88

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185

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99

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290

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Solution

The correct option is D $290$
Given series is $2, 3, 13, 5, 7, 74, 11, 13, ?$
Observing the given series, we can write:
$2^{2} + 3^{2} = 13$
$5^{2} + 7^{2} = 74$
$11^{2} + 13^{2} = 290$
Thus $290$ is the missing number.

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Similar questions

The boiling point of ethane is, - $88^{\circ}$ C. This temperature will be equivalent to :

(a) 2852 K (b) 288 K (c) 185 K (d) 361 K

1^{2} \times 2^{2} \times 3^{3} \times 4^{4} \times 5^{5} \times 6^{6} \times 7^{7} \times 8^{8} \times 9^{9} \times 10^{10}

Class interval	$22 - 33$	$33 - 44$	$44 - 55$	$55 - 66$	$66 - 77$	$77 - 88$	$88 - 99$
Frequency	$23$	$45$	$67$	$89$	$100$	$123$	$20$

{N H}_{3}

Initial pressure (mm of $H g$ )	$65$	$105$	$y$	$185$
Half-life (sec)	$290$	$x$	$670$	$820$

x

y

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