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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/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) (5, 9, 52) (11, 7, 90)
(7, 13, 98)
(14, 4, 63)
(8, 11, 95)
(9, 6, 65)
(9, 6, 65)
Look for a pattern where the product of the first two numbers plus a constant or a related square/sum yields the third number; here, it is (x * y) + (x + y) = z.
Look for a pattern where the product of the first two numbers plus a constant or a related square/sum yields the third number; here, it is (x * y) + (x + y) = z.
Analyze the first set (5, 9, 52)
Perform the operation: (5 * 9) + (5 + 9) = 45 + 14 = 59. This is incorrect. Let's try another: (5 * 9) + 7 = 52. Let's look at the numbers again: (5 * 9) + 7 = 52. Let's check (11 * 7) + 13 = 90. The pattern is (Number 1 * Number 2) + (Number 1 + 2). Wait, that doesn't fit the second set. Let's re-examine: (5 * 9) + (5 + 2) = 52. (11 * 7) + (11 + 2) = 90. The pattern is (First * Second) + (First + 2).
Verify the logic with the second set (11, 7, 90)
Apply the rule: (11 * 7) + (11 + 2) = 77 + 13 = 90. The logic holds perfectly: (A * B) + (A + 2) = C.
Test Option D (9, 6, 65)
Apply the rule: (9 * 6) + (9 + 2) = 54 + 11 = 65. This matches the result of the third set.
A: (7 * 13) + (7 + 2) = 91 + 9 = 100, not 98. B: (14 * 4) + (14 + 2) = 56 + 16 = 72, not 63. C: (8 * 11) + (8 + 2) = 88 + 10 = 98, not 95.
D is correct because the mathematical relationship established in the sets is (First * Second) + (First + 2) = Third.
When sets are provided, always test simple arithmetic combinations (product, sum, difference) before complex power functions.
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