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In the following number-pairs, X:45::7:Y. If the pattern is multiplying by 5 and adding 10, find X and Y given X is 7.
7, 45
7, 35
7, 55
7, 40
7, 45
Apply the given rule (Multiply by 5 and add 10) to the known value 7 to find Y, and confirm that the known value 45 fits the pattern from X.
Apply the given rule (Multiply by 5 and add 10) to the known value 7 to find Y, and confirm that the known value 45 fits the pattern from X.
Analyze the pattern
The problem defines the pattern for the number pairs as: (First number * 5) + 10 = Second number.
Calculate Y
Given the second pair is 7: Y, apply the rule: (7 * 5) + 10 = 35 + 10 = 45. Thus, Y = 45.
Verify X
The question states X is 7. Plugging X=7 into the first pair X: 45 gives 7: 45. Checking the rule: (7 * 5) + 10 = 45. This confirms X = 7 and Y = 45.
B: 35 is incorrect because it ignores the addition of 10. C: 55 is incorrect because it results from 95+10. D: 40 is incorrect because it results from 65+10.
A is correct because applying the logic (7 * 5) + 10 yields 45 for Y, and the given X is 7, forming the pair 7: 45.
In number analogy questions, always verify if the operation is applied consistently to both sides of the colon unless the relationship is defined as a specific transformation rule.