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23 is related to 117 following a certain logic. Following the same logic, 31 is related to 157. To which of the following is 42 related, following the same logic?

(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g. 13 – Operations on 13 such as adding/subtracting/multiplying etc. to 13, can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)

The correct answer is

212

Check the relation in the first pair: \(23 \times 5 = 115\) and \(115 + 2 = 117\).

Verify with the second pair: \(31 \times 5 = 155\) and \(155 + 2 = 157\). The rule is: multiply by 5, then add 2.

Apply it to 42: \(42 \times 5 = 210\) and \(210 + 2 = 212\).

Hence, the answer is 212.

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Important Questions from Analogies

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    ACB–CED

    WYX–YAZ

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