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Select the option in which the numbers share the same relationship as that shared by the given pairs of numbers. 100 : 20 60 : 12 (NOTE: Operations should be performed on the whole number, without breaking down the numbers into its constituent digits. E.g. 13- Operations on 13 such as adding/subtracting/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.)
120 : 12
54 : 6
45 : 9
144 : 12
45 : 9
Identify the relationship as First Number divided by Five equals the Second Number (X / 5 = Y).
Identify the relationship as First Number divided by Five equals the Second Number (X / 5 = Y).
Analyze the given pairs
In the pair 100 : 20, the logic is 100 / 5 = 20. In the pair 60 : 12, the logic is 60 / 5 = 12. Both pairs follow the mathematical rule: Dividend / 5 = Divisor.
Apply logic to options
We need an option where the first number divided by 5 equals the second number. Checking 45 : 9: 45 / 5 = 9. This matches the established pattern perfectly.
A: 120 / 5 = 24 (not 12); B: 54 / 5 = 10.8 (not 6); D: 144 / 5 = 28.8 (not 12).
C is correct because the ratio 45:9 maintains the consistent pattern of dividing the first number by 5 to obtain the second number, just like 100:20 and 60:12.
Always check for basic arithmetic division or multiplication before looking for complex square or cube patterns in numerical analogy questions.
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