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18 is related to 126 following a certain logic. Following the same logic, 28 is related to 196. To which of the following is 48 related, following the same logic? (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its constituent digits. E.g. 13 тАУ 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.)
380
320
336
366
336
Observe that the second number is the product of the first number and a specific factor: 18 * 7 = 126 and 28 * 7 = 196. Applying the same factor of 7 to 48 yields the result.
Observe that the second number is the product of the first number and a specific factor: 18 * 7 = 126 and 28 * 7 = 196. Applying the same factor of 7 to 48 yields the result.
Analyze the first relationship
Given 18 related to 126. Dividing 126 by 18 gives: 126 / 18 = 7.
Verify the second relationship
Given 28 related to 196. Dividing 196 by 28 gives: 196 / 28 = 7. The pattern is consistent: Term2 = Term1 * 7.
Apply the logic to the final term
For 48, applying the identified constant multiplier: 48 * 7 = 336.
A: 380 does not equal 48 * 7; B: 320 does not equal 48 * 7; D: 366 does not equal 48 * 7.
C is correct because the pattern follows the multiplication of the first number by a constant factor of 7, resulting in 48 * 7 = 336.
In number analogy questions, always check for simple multiplicative relationships before looking for complex square or cube rules.
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