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11 is related to 77 following a certain logic. Following the same logic, 16 is related to 112. To which of the following is 21 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.)
145
147
149
151
147
Identify the constant multiplier by dividing the second number by the first (e.g., 77/11 = 7). Apply the same multiplier to the third number (21 * 7).
Identify the constant multiplier by dividing the second number by the first (e.g., 77/11 = 7). Apply the same multiplier to the third number (21 * 7).
Analyze the first relationship
Divide 77 by 11 to find the multiplier. 77 / 11 = 7. Therefore, 11 multiplied by 7 equals 77.
Verify with the second relationship
Divide 112 by 16 to check if the multiplier remains consistent. 112 / 16 = 7. The logic holds as 16 multiplied by 7 equals 112.
Apply logic to the target number
Apply the identified multiplier of 7 to the number 21. Calculation: 21 * 7 = 147.
A: 145 is incorrect as it is not the product of 21 and 7. C: 149 is incorrect as it is not the product of 21 and 7. D: 151 is incorrect as it is not the product of 21 and 7.
B is correct because the relationship follows the logic of multiplying the base number by 7 (117=77, 167=112, 21*7=147).
In number analogy questions, always check for prime factors or constant multipliers first; if the numbers seem large, test simple multiplication or division before looking for complex square/cube patterns.
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