Question : Directions: Select the set in which the numbers are related in the same way as the numbers of the following set.
(9, 18, 324); (14, 11, 308)
(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.)
Option 1: (14, 15, 320)
Option 2: (11, 12, 268)
Option 3: (7, 12, 168)
Option 4: (8, 13, 206)
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Correct Answer: (7, 12, 168)
Solution :
Given:
(9, 18, 324); (14, 11, 308)
The pattern is as follows –
(9, 18, 324)→(9 × 18) × 2 = 162 × 2 = 324
(14, 11, 308)→(14 × 11) × 2 = 154 × 2 = 308
Let's check the options –
First option:
(14, 15, 320) ⇒ (14 × 15) × 2 = 210 × 2 = 420 ≠ 320
Second option:
(11, 12, 268) ⇒ (11 × 12) × 2 = 132 × 2 = 264 ≠ 268
Third option:
(7, 12, 168) ⇒ (7 × 12) × 2 = 84 × 2 = 168
Fourth option:
(8, 13, 206) ⇒ (8 × 13) × 2 = 104 × 2 = 208 ≠ 206
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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