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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 /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) (9, 100, 90) (11, 120, 110)
(13, 260, 130)
(14, 164, 154)
(12, 130, 120)
(15, 130, 120)
(12, 130, 120)
Observe the third number is always the first number multiplied by 10. The second number is (first number * 10) + 10.
Observe the third number is always the first number multiplied by 10. The second number is (first number * 10) + 10.
Analyze the given sets
Set 1: (9, 100, 90). Logic: 9 * 10 = 90 (3rd number). 90 + 10 = 100 (2nd number). Set 2: (11, 120, 110). Logic: 11 * 10 = 110 (3rd number). 110 + 10 = 120 (2nd number).
Apply logic to Option C
Check (12, 130, 120). Logic: 12 * 10 = 120 (matches 3rd number). 120 + 10 = 130 (matches 2nd number).
A: (13 * 10 = 130, 130 + 10 = 140, but middle number is 260), B: (14 * 10 = 140, 140 + 10 = 150, but middle is 164), D: (15 * 10 = 150, but middle/last numbers are 130 and 120).
C is correct because the set (12, 130, 120) follows the rule: 3rd number = 1st * 10 and 2nd number = 3rd + 10.
When looking at sets of three numbers, always check if the relationship is additive or multiplicative before attempting complex arithmetic involving squares or cubes.