Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row- 6, 39, 124
Second row- 8, 53, ?
Third row- 11, 74, 229
(NOTE: Operations should be performed on the whole numbers, without breaking down the numbers into its 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).
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e. 166
Logic:
(1st Number × 7) - 3 = 2nd Number
(2nd Number × 3) + 7 = 3rd Number
First row: 6, 39, 124:
6 × 7 - 3 = 42 - 3 = 39
39 × 3 + 7 = 117 + 7 = 124
Second row: 8, 53, ?:
8 × 7 - 3 = 56 - 3 = 53
53 × 3 + 7 = 159 + 7 = 166
Third row: 11, 74, 229
11 × 7 - 3 = 77 - 3 = 74
74 × 3 + 7 = 222 + 7 = 229
Hence, the correct answer is 166.