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.)
(6, 2, 34)
(1, 5, 13)
(9, 1, ?)
Option 1: 25
Option 2: 19
Option 3: 16
Option 4: 13
Correct Answer: 25
Solution :
Given:
(6, 2, 34); (1, 5, 13); (9, 1, ?)
In the given sets, multiply the first and second numbers by 3, then subtract the resultant with 2 to get the third number.
Like, (6, 2, 34)→(6 × 2) × 3 = 12 × 3 = 36; 36 – 2 = 34
And, (1, 5, 13)→(1 × 5) × 3 = 5 × 3 = 15; 15 – 2 = 13
Similarly, follow the same pattern for (9, 1, ?)→(9 × 1) × 3 = 9 × 3 = 27; 27 – 2 = 25
So, 25 is the missing number of the given set. Hence, the first option is correct.
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