Question : Directions: Study the given pattern carefully and select the number that can replace the question mark (?) in it.
(12, 7, 32); (17, 13, 33); (14, 8, ?)
(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.)
Option 1: 38
Option 2: 35
Option 3: 43
Option 4: 42
Correct Answer: 38
Solution :
Given:
(12, 7, 32); (17, 13, 33); (14, 8, ?)
Here, (12, 7, 32)→(5 × 12) – (4 × 7) = 60 – 28 = 32
(17, 13, 33)→(5 × 17) – (4 × 13) = 85 – 52 = 33
Similarly, follow the same pattern for (14, 8, ?) –
(5 × 14) – (4 × 8) = 70 – 32 = 38
So, 38 is the required answer. Hence, the first option is correct.
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