Find the missing number.
$27 : 51 :: 83 :$ .....

102

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117

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123

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138

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Solution

The correct option is C $123$
The given analogy can be written as $5^{2} + 2 : 7^{2} + 2 :: 9^{2} + 2 : . . . . . . . .$
5 and 7 are successive odd numbers.
Similarly, next odd number of 9 is 11 and $11^{2} + 2 = 121 + 2 = 123$ .

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Question 15

Find the missing number in the box in each of the proportions:

$\frac{16}{36} = \frac{□}{63} = \frac{36}{□} = \frac{□}{117}$

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