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.)
(3, 9, 2)
(8, 6, 8)
(5, 3, ?)
Option 1: 22
Option 2: 13
Option 3: 10
Option 4: 5
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Correct Answer: 10
Solution :
Given:
(3, 9, 2); (8, 6, 8); (5, 3, ?)
The pattern is as follows –
Like, (3, 9, 2)→(9 × 2) ÷ 6 = 18 ÷ 6 = 3
And, (8, 6, 8)→(6 × 8) ÷ 6 = 48 ÷ 6 = 8
Similarly, follow the same pattern for (5, 3, ?) –
Let the missing number be x.
⇒ (3 × x) ÷ 6 = 5
⇒ (3 × x) = 5 × 6
⇒ x = 30 ÷ 3
⇒ x = 10
So, the missing number of the given set is 10. Hence, the third option is correct.
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