# DBT JRF 2022 — Question 39

Exam: DBT JRF 2022 · Section: A · Topic: Aptitude › Magic Square - Number Puzzles · Difficulty: Medium

## Question

Identify the sum of a+b+c, provided the total of each row and each column is same.
|  |  |  |
| --- | --- | --- |
| 11 | 16 | a |
| 10 | b | 14 |
| c | 8 | 13 |

## Options

- **A.** 32
- **B.** 36
- **C.** 27
- **D.** 30

## Answer

Option B

## Explanation

Magic square: sum of a + b + c (see question table): In a magic square, each row, column, and diagonal sums to the same value (the magic constant). From the given table
|  |  |  |
| --- | --- | --- |
| 11 | 16 | a |
| 10 | b | 14 |
| c | 8 | 13 |
 , using the known values in the rows/columns, the magic constant can be determined. The sum of a + b + c (values from a specific row, column, or diagonal containing these three unknowns) equals 36. Answer: 36 (Option 2).

Source: https://mypyqbuddy.com/questions/identify-the-sum-of-a-b-c-provided-6a104cd5920734408bc0c704