Following a certain logic, 78 is related to 159. Following the same logic, 56…
2025
Following a certain logic, 78 is related to 159. Following the same logic, 56 is related to 115. To which of the given options is 99 related following the same logic? (Note: Operations should be performed on whole numbers, without breaking down the numbers into its constituent digits. For example, take 13 - operations like adding/subtracting/multiplying to 13 can be done on 13. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
- A.
241
- B.
201
- C.
212
- D.
236
Attempted by 6 students.
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Correct answer: B
A number-based analogy question gives two example pairs that are both produced by the SAME fixed rule -- a short chain of whole-number operations applied to the first number of each pair. The task is to find the one rule that fits BOTH given pairs exactly, and then apply that identical rule to the target number.
Test a rule on the first pair: multiplying 78 by 2 gives 156, and adding 3 gives 156 + 3 = 159, which matches the given pair exactly.
Check the SAME rule on the second pair: multiplying 56 by 2 gives 112, and adding 3 gives 112 + 3 = 115, which again matches exactly -- so the rule (multiply by 2, then add 3) is confirmed by both examples, not just one.
Apply the confirmed rule to 99: multiplying 99 by 2 gives 198, and adding 3 gives 198 + 3 = 201.
Working backwards confirms it: subtracting 3 from 201 gives 198, and halving 198 gives back 99. Among the four offered values, only 201 satisfies the rule that both 78 -> 159 and 56 -> 115 confirm, so 99 is related to 201 following the same logic.