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 set. (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.)
(10, 30, 90)
(20, 60, 180)
Option 1: (30, 45, 60)
Option 2: (30, 90, 270)
Option 3: (30, 60, 90)
Option 4: (30, 90, 310)
Correct Answer: (30, 90, 270)
Solution :
Given:
(10, 30, 90); (20, 60,180)
Multiply the first number by 3, to get the second number and multiply the second number by 3, to get the third number –
(10, 30, 90)→10 × 3 = 30; 30 × 3 = 90
(20, 60, 180)→20 × 3 = 60; 60 × 3 = 180
Let's check each option –
First option:
(30, 45, 60)→30 × 3 = 90 ≠ 45; 45 × 3 = 135 ≠ 60
Second option:
(30, 90, 270)→30 × 3 = 90; 90 × 3 = 270
Third option:
(30, 60, 90)→30 × 3 = 90 ≠ 60; 60 × 3 = 180 ≠ 90
Fourth option:
(30, 90, 310)→30 × 3 = 90; 90 × 3 = 270 ≠ 310
So, only the second option follows the same pattern as the given number pair. Hence, the second option is correct.
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