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.)
(40, 20, 82)
(36, 18, 74)
Option 1: (118, 69, 278)
Option 2: (124, 62, 248)
Option 3: (212, 106, 426)
Option 4: (206, 103, 412)
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Correct Answer: (212, 106, 426)
Solution :
Given:
(40, 20, 82); (36, 18, 74)
Multiply the second number by 2 to obtain the first number and multiply the second number by 4 and then add 2 to obtain the third number in the given set of numbers –
(40, 20, 82)→20 × 2 = 40; (20 × 4) + 2 = 80 + 2 = 82
(36, 18, 74)→18 × 2 = 36; (18 × 4) + 2 = 72 + 2 = 74
Let's check the options –
First option:
(118, 69, 278)→69 × 2 = 138 ≠ 118; (69 × 4) + 2 = 276 + 2 = 278
Second option:
(124, 62, 248)→62 × 2 = 124; (62 × 4) + 2 = 248 + 2 = 250 ≠ 248
Third option:
(212, 106, 426)→106 × 2 = 212; (106 × 4) + 2 = 424 + 2 = 426
Fourth option:
(206, 103, 412)→103 × 2 = 206; (103 × 4) + 2 = 412 + 2 = 414 ≠ 412
So, only the third option follows the same pattern as followed by the given set of numbers. Hence, the third option is correct.
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