What number will replace the ?
$27, 31, 40, 56, 81, 117. ?$

156

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165

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166

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169

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Solution

The correct option is C $166$
The series follows the pattern of
$+ 2^{2}, + 3^{2}, + 4^{2}, + 5^{2} . . .$

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Similar questions

What number will replace the ?

4, 9, 25, ?, 121, 169, 289, 361

Q. Find the median for the following frequency distribution.

Class Intervals	$160 - 162$	$163 - 165$	$166 - 168$	$169 - 171$	$172 - 174$
frequency	$15$	$117$	$136$	$110$	$14$

Q. Find the median for the following frequency distribution

Height (in $c m$ )	$160 - 162$	$163 - 165$	$166 - 168$	$169 - 171$	$172 - 174$
Frequency	$15$	$117$	$136$	$110$	$14$

Q. The heights of 50 students, measured to the nearest centimetres, have been found to be as follows:

\begin{matrix} 161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159 \end{matrix}

(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as

160 - 165, 165 - 170,

etc.
(ii) What can you conclude about their heights from the table?

Question 4 (i)
The heights of 50 students, measured to the nearest centimeters, have been found to be as follows:
$\begin{matrix} 161 & 150 & 154 & 165 & 168 & 161 & 154 & 162 & 150 & 151 162 & 164 & 171 & 165 & 158 & 154 & 156 & 172 & 160 & 170 153 & 159 & 161 & 170 & 162 & 165 & 166 & 168 & 165 & 164 154 & 152 & 153 & 156 & 158 & 162 & 160 & 161 & 173 & 166 161 & 159 & 162 & 167 & 168 & 159 & 158 & 153 & 154 & 159 \end{matrix}$
(i) Represent the data given above by a grouped frequency distribution table, taking the class intervals as 160 - 165, 165 - 170, etc.

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What number will replace the ?27,31,40,56,81,117.?

The correct option is C 166The series follows the pattern of+22,+32,+42,+52...

What number will replace the ?
$27, 31, 40, 56, 81, 117. ?$

The correct option is C $166$
The series follows the pattern of
$+ 2^{2}, + 3^{2}, + 4^{2}, + 5^{2} . . .$