Category: Fluid Reasoning
Difficulty: Hard
Result: Wrong
19. The numbers alongside each column and row in the drawing below are the sums of the values represented by the symbols within each column and row. What number should replace the question marks?
- 23
- 25◀ Correct Answer
- 28
- 30
- 32
Your Answer: No Answer Given
This question involves analyzing a grid of symbols with corresponding row and column sums to determine the missing column sum (??). Here's how to solve it:
Breakdown:
We assign values to each symbol:
- Apple = A
- Carrot = C
- Grapes = G
- Brocolli = B
Using the row sums:
- Row 1: A + A + A + A = 28 => 4 * A = 28 => A = 7
- Row 2: A + A + C + C = 30 => 2 * A + 2 * C = 30 => 2 * 7 + 2 * C = 30 => 2 * C = 16 => C = 8
- Row 3: C + G + B + A = 20 => 8 + G + B + 7 = 20 => G + B = 5
- Row 4: B + B + G + C = 16 => 2 * B + G + 8 = 16 => 2 * B + G = 8
Solving the equations:
- From Row 3: G + B = 5
- From Row 4: 2 * B + G = 8
- Subtract Row 3 from Row 4: (2 * B + G) - (G + B) = 8 - 5 => B = 3
- Then, G = 5 - B = 2
Now, calculate the column sums:
- Column 1: A + A + C + B = 7 + 7 + 8 + 3 = 25
- Column 2: A + A + G + B = 7 + 7 + 2 + 3 = 19
- Column 3: A + C + B + G = 7 + 8 + 3 + 2 = 20
- Column 4: A + C + A + C = 7 + 8 + 7 + 8 = 30
The missing column sum (??) is 25.