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15 is related to 35 following a certain logic. Following the same logic, 21 is related to 49. To which of the given options is 27 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 тАУ Operations on 13 such as adding/subtracting/multiplying to 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
63
69
65
51
63
Identify the multiplier: The numbers follow the rule (n * 2.333...) or, more simply, (Number * 7 / 3).
Identify the multiplier: The numbers follow the rule (n * 2.333...) or, more simply, (Number * 7 / 3).
Analyze the first pair (15, 35)
15 multiplied by 7 is 105. Dividing 105 by 3 gives 35.
Verify with the second pair (21, 49)
21 multiplied by 7 is 147. Dividing 147 by 3 gives 49. The logic holds.
Apply logic to the target number (27)
27 multiplied by 7 is 189. Dividing 189 by 3 gives 63.
B: 69 is incorrect as it does not follow the (n * 7 / 3) pattern. C: 65 is incorrect as it does not follow the (n * 7 / 3) pattern. D: 51 is incorrect as it does not follow the (n * 7 / 3) pattern.
A is correct because the logic (Number ├Ч 7) / 3 applied to 27 yields 63.
When seeing pairs of numbers that aren't simple multiples, check for a constant ratio or a fractional multiplier (like 7/3 or 5/2) before looking for additive patterns.
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