Question : Directions: Select the option in which the numbers are related in the same way as the numbers of the following 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.)
(48, 8, 12)
(42, 6, 14)
Option 1: (88, 22, 4)
Option 2: (62, 12, 2)
Option 3: (44, 22, 4)
Option 4: (36, 18, 2)
Correct Answer: (44, 22, 4)
Solution :
Given:
(48, 8, 12); (42, 6, 14)
Multiply the second and the third number then divide the resultant number by 2 to obtain the first number in the given set of numbers –
(48, 8, 12)→(8 × 12) ÷ 2 = 96 ÷ 2 = 48
(42, 6, 14)→(6 × 14) ÷ 2 = 84 ÷ 2 = 42
Let's check the options –
First option:
(88, 22, 4)→(22 × 4) ÷ 2 = 88 ÷ 2 = 44 ≠ 59
Second option:
(62, 12, 2)→(12 × 2) ÷ 2 = 24 ÷ 2 = 12 ≠ 62
Third option:
(44, 22, 4)→(22 × 4) ÷ 2 = 88 ÷ 2 = 44
Fourth option:
(36, 18, 2)→(18 × 2) ÷ 2 = 36 ÷ 2 = 18 ≠ 36
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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