Directions: Pick the correct options from the given alternatives 201 : 423 :: 501 : ?
723
This is a number-analogy question. We must find the mathematical rule that changes the first number into the second, then apply it to the third.
Given first pair: \(201 : 423\). Find the difference between the two numbers.
\(423 - 201 = 222\). So the second number is obtained by adding 222 to the first number.
State the rule clearly: second term \(=\) first term \(+\; 222\).
Now apply the same rule to the second pair, whose first term is 501.
\(501 + 222 = 723\).
So the missing term is 723, which matches the highlighted option.
The other choices (523, 423, 623) do not equal \(501 + 222\), so they are incorrect. Hence the answer is 723.
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