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.)
(64, 8, 16)
(40, 20, 4)
Option 1: (56, 14, 8)
Option 2: (100, 50, 8)
Option 3: (120, 100, 5)
Option 4: (54, 9,14)
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Correct Answer: (56, 14, 8)
Solution :
Given:
(64, 8, 16); (40, 20, 4)
Multiply the second number with half of the third number, to get the first number –
⇒ (64, 8, 16)→8 × (16 ÷ 2) = 64
⇒ (40, 20, 4)→20 × (4 ÷ 2) = 40
Let's check each option –
First option:
(56, 14, 8)→14 × (8 ÷ 2) = 56
Second option:
(100, 50, 8)→50 × (8 ÷ 2) = 200 ≠ 100
Third option:
(120, 100, 5)→100 × (5 ÷ 2) = 250 ≠ 120
Fourth option:
(54, 9,14)→9 × (14 ÷ 2) = 63 ≠ 54
So, only the first option follows the same pattern as the given set of numbers. Hence, the first option is correct.
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