Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(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.)
(14, 10, 9)
(6, 8, 2)
(8, 4, ?)
Option 1: 4
Option 2: 6
Option 3: 3
Option 4: 5
Correct Answer: 6
Solution :
Given:
(14, 10, 9); (6, 8, 2); (8, 4, ?)
In the given sets, the sum of twice the third number and the second number is equal to twice the first number.
Like, (14, 10, 9)→(9 × 2) + 10 = 18 + 10 = 28; 14 × 2 = 28
(6, 8, 2)→(2 × 2) + 8 = 4 + 8 = 12; 6 × 2 = 12
Similarly, follow the same pattern for (8, 4, ?)→Let the missing number be a.
⇒ (2 × a) + 4 = 2 × 8
⇒ 2 × a = 16 – 4
⇒ 2 × a = 12
⇒ a = 12 ÷ 2
⇒ a = 6
So, 6 is the missing number of the given set. Hence, the second option is correct.
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