What comes next in the series - 3 : 10 :: 5 : ?
26
26 is correct.
In a number analogy, the second number of the first pair is produced from the first number by a fixed rule; the same rule must then be applied to the third number.
Test the rule square-plus-one on the first pair: \(3^2 + 1 = 9 + 1 = 10\), which matches.
Simple rules such as adding 7 (\(5 + 7 = 12\)) or tripling plus one (\(5 \times 3 + 1 = 16\)) also fit 3 and 10 but give numbers that are not among the choices, while square-plus-one gives a listed value.
Apply square-plus-one to 5: \(5^2 + 1 = 25 + 1 = 26\).
Hence, 3 : 10 :: 5 : 26.
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Important Questions from Analogy
Select the option that is related to the third term in the same way as the second term is related to the first term.
Day: Night :: Morning : ?Select the option that is related to the third term in the same way as the second term is related to the first term.
India : Country :: Delhi : ..........Select the option that is related to the third term in the same way as the second term is related to the first term.
MATE: NATE :: FATE: ?Select the option that is related to the third term in the same way as the second term is related to the first term.
13 : 196 :: 9 : .......
Select the related word pair from the given alternatives. Afghanistan : Kabul :: ....... : .........
