Question : Directions: Select the option in which the numbers share the same relationship in the set as that shared by the numbers in the given sets. (NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into their constituent digits. E.g.13 – 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.)
(133, 144, 288)
(127, 138, 276)
Option 1: (169, 180, 360)
Option 2: (143, 156, 312)
Option 3: (157, 168, 326)
Option 4: (117, 128, 266)
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Correct Answer: (169, 180, 360)
Solution :
Given:
(133, 144, 288)
(127, 138, 276)
Add 11 to the first number, to get the second number, and multiply the second number by 2, to get the third number.
(133, 144, 288)→133 + 11 = 144; 144 × 2 = 288
(127, 138, 276)→127 + 11 = 138; 138 × 2 = 276
Let's check the options,
First option:
(169, 180, 360)→169 + 11 = 180; 180 × 2 = 360
Second option:
(143, 156, 312)→143 + 11 = 154 ≠ 156; 156 × 2 = 312
Third option:
(157, 168, 326)→157 + 11 = 168; 168 × 2 = 336 ≠ 326
Fourth option:
(117, 128, 266)→117 + 11 = 128; 128 × 2 = 256 ≠ 266
So, only the first option follows the same pattern as the given number pair. Hence, the first option is correct.
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