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, 20,100)
(50, 5, 125)
Option 1: (20, 5, 60)
Option 2: (40, 4, 150)
Option 3: (14, 10, 35)
Option 4: (12, 10, 60)
Correct Answer: (12, 10, 60)
Solution :
Given:
(10, 20,100); (50, 5,125)
Multiply the first and second numbers and divide the resultant by 2, to get the third number –
⇒ (10, 20,100)→(10 × 20) ÷ 2 = 100
⇒ (50, 5, 125)→(50 × 5) ÷ 2 = 125
Let's check each option –
First option:
(20, 5, 60)→ (20 × 5) ÷ 2 = 50 ≠ 60
Second option:
(40, 4, 150)→(40 × 4) ÷ 2 = 80 ≠ 150
Third option:
(14, 10, 35)→(14 × 10) ÷ 2 = 70 ≠ 35
Fourth option:
(12, 10, 60)→(12 × 10) ÷ 2 = 60
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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