In the following number-pairs, the second number is obtained by applying…
2024
In the following number-pairs, the second number is obtained by applying certain mathematical operations to the first number. Select the set in which the numbers are related in the same way as are the numbers of the following sets.
(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.)
(12, 145)
(9, 82)
- A.
(16, 256)
- B.
(14, 197)
- C.
(22, 483)
- D.
(8, 69)
Attempted by 5 students.
Show answer & explanation
Correct answer: B
To find the correct option, let's first identify the mathematical relationship between the numbers in the provided sets: (12, 145) and (9, 82).
Identifying the Pattern
For each pair, let the first number be n and the second number be x.
Check the first set (12, 145):
12² = 144
144 + 1 = 145
The pattern is: n² + 1 = x
Check the second set (9, 82):
9² = 81
81 + 1 = 82
The pattern holds: n² + 1 = x
Option 2 is the correct set because it adheres to the established n² + 1 relationship identified in the sample sets.