Find the missing number
$27, 31, 40, 56, 81, 117, ?$

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 B $166$
Given series is $27, 31, 40, 56, 81, 117, ? .$
Here, the difference between two consecutive terms is: +4 (or $2^{2}$ ), +9 (or $3^{2}$ ), +16 (or $4^{2}$ ), +25 (or $5^{2}$ ), +36 (or $6^{2}$ ), +49 (or $7^{2}$ ).
Clearly, for next term, $117 + 49 = 166.$
Hence, option (C) is the correct answer.

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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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Find the missing number27,31,40,56,81,117,?

The correct option is B 166Given series is 27,31,40,56,81,117,?.Here, the difference between two consecutive terms is: +4 (or 22), +9 (or 32), +16 (or 42), +25 (or 52), +36 (or 62), +49 (or 72).Clearly, for next term, 117+49=166.Hence, option (C) is the correct answer.

Find the missing number
$27, 31, 40, 56, 81, 117, ?$