Question : Directions: Select the set 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. 13 can be performed. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(6, 4, 48)
(8, 5, 80)
Option 1: (3, 7, 42)
Option 2: (2, 7, 14)
Option 3: (5, 7, 42)
Option 4: (4, 6, 36)
Correct Answer: (3, 7, 42)
Solution :
Given:
(6, 4, 48); (8, 5, 80)
Multiply the first number and the second number, and then multiply the resultant number by 2 to obtain the third number in the given set of numbers.
⇒ (6, 4, 48)→(6 × 4) × 2 = 24 × 2 = 48
⇒ (8, 5, 80)→(8 × 5) × 2 = 40 × 2 = 80
Let's check the options
First option:
(3, 7, 42)→(3 × 7) × 2 = 21 × 2 = 42
Second option:
(2, 7, 14)→(2 × 7) × 2 = 14 × 2 = 28 ≠ 14
Third option:
(5, 7, 42)→(5 × 7) × 2 = 35 × 2 = 70 ≠ 42
Fourth option:
(4, 6, 36)→(4 × 6) × 2 = 24 × 2 = 48 ≠ 36
So, only the first option follows the same pattern as followed by the given set of numbers. Hence, the first option is correct.
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