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2 is related to 26 following a certain logic. Following the same logic, 4 is related to 52. To which of the following is 7 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 /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.)
25
27
72
91
91
Look for a linear equation of the form y = mx + c; here, the multiplier increases or follows a constant pattern, or verify if the relationship is y = x * (x + constant).
Look for a linear equation of the form y = mx + c; here, the multiplier increases or follows a constant pattern, or verify if the relationship is y = x * (x + constant).
Analyze the pattern for 2 and 4
Observe the relationship: 2 * 13 = 26. For the second pair: 4 * 13 = 52. The constant multiplier for both given cases is 13.
Apply the multiplier to 7
Since the constant ratio identified is 13, multiply the input number 7 by 13: 7 * 13 = 91.
A: 25 is not a multiple of 13; B: 27 is not a multiple of 13; C: 72 is not a multiple of 13.
D is correct because the logic applied is a constant multiplication of the input number by 13 (2x13=26, 4x13=52, 7x13=91).
If a simple multiplier does not work, always check for squares, cubes, or x┬▓ + x patterns, but in simple analogies, prioritize the direct multiplicative factor first.
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