Study the given pattern carefully and select the number that can replace the question mark (?) in it.
First row: 11, 12, 529
Second row: 13, 14, 729
Third row: 15, 16, ?
(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/deleting/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)
- A956
- B961
- C934
- D945
Solution & Step-by-step Explanation
Let's establish the relationship between the numbers in each row:
First row: 11, 12, 529
(11+12)
2
=(23)
2
=529
Second row: 13, 14, 729
(13+14)
2
=(27)
2
=729
Third row: 15, 16, ?
Applying the same logic:
(15+16)
2
=(31)
2
=961
First row: 11, 12, 529
(11+12)
2
=(23)
2
=529
Second row: 13, 14, 729
(13+14)
2
=(27)
2
=729
Third row: 15, 16, ?
Applying the same logic:
(15+16)
2
=(31)
2
=961