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 can be performed on 13, such as adding/subtracting /multiplying, etc., to 13. Breaking down 13 into 1 and 3 and then performing mathematical operations on 1 and 3 is not allowed.)
(24, 12, 4)
(35, 5, 14)
Option 1: (28, 8, 6)
Option 2: (42, 6, 22)
Option 3: (56, 8, 16)
Option 4: (36, 4, 18)
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Correct Answer: (36, 4, 18)
Solution :
Given:
(24, 12, 4); (35, 5, 14)
Divide the first number by the second number and then multiply the result by 2 to obtain the third number.
(24, 12, 4)→24 ÷ 12 = 2; 2 × 2 = 4
(35, 5, 14)→35 ÷ 5 = 7; 7 × 2 = 14
Let's check each option –
First option:
(28, 8, 6)→28 ÷ 8 = 3.5; 3.5 × 2 = 7 ≠ 8
Second option:
(42, 6, 22)→42 ÷ 6 = 7; 7 × 2 = 14 ≠ 6
Third option:
(56, 8, 16)→56 ÷ 8 = 7; 7 × 2 = 14 ≠ 8
Fourth option:
(36, 4, 18)→36 ÷ 4 = 9; 9 × 2 = 18
So, only the fourth option follows the same pattern as the given set of numbers. Hence, the fourth option is correct.
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