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In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as are the numbers of the following sets. (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.) 153, 17 216, 24
225, 35
189, 31
243, 27
171, 18
243, 27
Observe the pattern: the first number is obtained by multiplying the square of the second number by a factor: (n┬▓) * 9/16 or more simply, check the ratio 153/17 = 9 and 216/24 = 9.
Observe the pattern: the first number is obtained by multiplying the square of the second number by a factor: (n┬▓) * 9/16 or more simply, check the ratio 153/17 = 9 and 216/24 = 9.
Analyze the given number pairs
Pair 1: 153 divided by 17 equals 9. Pair 2: 216 divided by 24 equals 9. The relationship is that the first number is exactly 9 times the second number.
Apply the rule to the options
We need a set where the first number divided by the second number equals 9. Option C: 243 divided by 27 equals 9 (27 * 9 = 243).
A: 225 divided by 35 is approximately 6.42. B: 189 divided by 31 is approximately 6.09. D: 171 divided by 18 is 9.5.
C is correct because the logic followed in the given pairs is that the first number is 9 times the second number, and 243 is 9 times 27.
When faced with number pairs, always check basic arithmetic operations (addition, subtraction, multiplication, division) before looking for complex square or cube powers.
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