Select the option in which the numbers share the same relationship as that shared by the given pair of numbers. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 – Operations on 13 such as adding/deleting/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.) 11 : 62 13 : 64

Correct — D. Rule: second = first + 51.

62 − 11 = 51
64 − 13 = 51

Both given pairs share one constant, so every option is settled by a single subtraction.

Option (d): 67 − 16 = 51, so 16 : 67 carries the same relation as 11 : 62 and 13 : 64.

Why the others are wrong

• (a)
  12 : 92 — 92 − 12 = 80. That is the widest miss of the four, and no reading of the given pairs produces a gap anywhere near 80.
• (b)
  9 : 59 — 59 − 9 = 50, one short of 51. This is the near-miss the item is built on, and it is caught only by subtracting rather than eyeballing.
• (c)
  14 : 37 — 37 − 14 = 23, under half the required gap. Its second number is smaller than the constant 51 itself, so it fails before the arithmetic finishes.

A number-pair analogy gives two examples of one relation and asks which option shares it. Two examples are the point: a relation that explains only one of them is a coincidence you have mistaken for a rule.

Subtraction is the cheapest first test. If both given pairs show the same difference, the relation is additive and each option resolves to one subtraction.

Only when the differences disagree is it worth moving on to ratios, squares or a × b + k. Here they agree at 51, so the whole item is four subtractions.

Key facts

• Both given pairs run on a constant difference: 62 − 11 = 51 and 64 − 13 = 51.
• Option (d) satisfies it exactly, since 16 + 51 = 67.
• Option (b) gives 50, one short of the required 51.
• The differences of the four options are 80, 50, 23 and 51.

Common traps

• Reaching for a multiplicative rule when a constant difference already explains both pairs
• Accepting 9 : 59 because 50 feels close enough to 51
• Reading only the first given pair and carrying a half-formed rule into the options

No directly related past PYQ was found.