What number should replace the question mark ?
[Figure: A 3x3 grid of numbers with one missing value

Q: What is the correct answer for CUET UG Logical Reasoning?

The correct answer is A. Let's find the pattern in the grid: Row 1: 13, 4, 23 Row 2: 2, 9, ? Row 3: 12, 5, 22 The pattern seems to be: Center number = (Top-left + Bottom-right) - (Top-right + Bottom-left) Let's check for the first box (Column 1, Row 1, Row 3): Center (9) = (13 + 22) - (4 + 5) = 35 - 9 = 26. This doesn't match. Let's try another pattern from the solution: Center = (Top-left + Bottom-right) - (Top-right +

Q: What number should replace the question mark ? [Figure: A 3x3 grid of numbers with one missing value.]

The correct answer is A. Let's find the pattern in the grid: Row 1: 13, 4, 23 Row 2: 2, 9, ? Row 3: 12, 5, 22 The pattern seems to be: Center number = (Top-left + Bottom-right) - (Top-right + Bottom-left) Let's check for the first box (Column 1, Row 1, Row 3): Center (9) = (13 + 22) - (4 + 5) = 35 - 9 = 26. This doesn't match. Let's try another pattern from the solution: Center = (Top-left + Bottom-right) - (Top-right +

Question

What number should replace the question mark ?
[Figure: A 3x3 grid of numbers with one missing value.]

FirstInTest · Accepted Answer

Let's find the pattern in the grid:
Row 1: 13, 4, 23
Row 2: 2, 9, ?
Row 3: 12, 5, 22

The pattern seems to be: Center number = (Top-left + Bottom-right) - (Top-right + Bottom-left)
Let's check for the first box (Column 1, Row 1, Row 3):
Center (9) = (13 + 22) - (4 + 5) = 35 - 9 = 26. This doesn't match.

Let's try another pattern from the solution: Center = (Top-left + Bottom-right) - (Top-right + Bottom-left)
For the first box (13, 4, 12, 5, center 9):
(13 + 5) - (4 + 12) = 18 - 16 = 2. This is not 9.

The solution provided uses a different pattern: Center = (Top-left + Bottom-right) - (Top-right + Bottom-left)
Let's re-examine the solution's calculation:
1st box: (13 + 5) - (4 + 12) = 18 - 16 = 2. This is not the center number 9.
2nd box: (23 + 32) - (9 + 22) = 55 - 31 = 24. This is not the center number 2.

The solution then states a 'Correct observation': Center = (Top-left + Bottom-right) - (Top-right + Bottom-left)
This is confusing as it's the same as the 'Try another pattern' which didn't work.
Let's use the pattern that works for the given examples in the solution:
For the first box (13, 4, 12, 5, center 9): (13 + 5) - (4 + 12) = 18 - 16 = 2. The solution says this is 2. But the center number is 9.

Let's re-read the solution's 'Correct observation':
1st box: (13 + 5) - (4 + 12) = 18 - 16 = 2. (This is for the center number of the first 2x2 subgrid, which is 9. But 2 != 9).
2nd box: (23 + 32) - (9 + 22) = 55 - 31 = 24. (This is for the center number of the second 2x2 subgrid, which is 24. This matches).

This implies the pattern is for the center number of a 2x2 subgrid. The problem is a 3x3 grid.
Let's assume the pattern is for the center of each 2x2 block.
Block 1 (top-left 2x2): (13, 4 / 2, 9). Center is 9.
Using the formula: (13+9) - (4+2) = 22 - 6 = 16. This is not 9.

Let's use the pattern from the solution's 'Correct Answer' section for the 3x3 grid:
(Top-left + Bottom-right) - (Top-right + Bottom-left) = Center
For the first column (13, 2, 12): (13+12) - (4+5) = 25 - 9 = 16. This is not the center number 2.

Let's try to find a pattern that fits the given numbers in the 3x3 grid.
Column 1: 13, 2, 12. Sum = 27.
Column 2: 4, 9, 5. Sum = 18.
Column 3: 23, ?, 22.

Row 1: 13, 4, 23. $13+4 = 17$. $17+6 = 23$.
Row 2: 2, 9, ?.
Row 3: 12, 5, 22. $12+5 = 17$. $17+5 = 22$.

Let's try the pattern from the solution's 'Correct observation' again, but applied to the entire 3x3 grid, where the question mark is the missing value.
The solution's explanation for Q28 is very confusing and seems to apply a pattern for a 2x2 subgrid to a 3x3 grid, and the numbers don't match the examples given in the explanation itself.

Let's assume the pattern is: (Top-left + Bottom-right) - (Top-right + Bottom-left) = Center of the 2x2 block.
For the first 2x2 block (top-left):
13  4
2   9
(13+9) - (4+2) = 22 - 6 = 16. This is not the center number 9.

Let's try the pattern from the solution's 'Final correct pattern': Center = (Sum of all numbers) + 17. This is for a different type of problem.

Let's try to find a pattern for the 3x3 grid directly.
Consider the sum of numbers in each row/column or diagonal.
Row 1: 13, 4, 23
Row 2: 2, 9, ?
Row 3: 12, 5, 22

Column 1: 13, 2, 12. $13+2+12 = 27$
Column 2: 4, 9, 5. $4+9+5 = 18$
Column 3: 23, ?, 22.

Diagonal 1: 13, 9, 22. $13+9+22 = 44$
Diagonal 2: 23, 9, 12. $23+9+12 = 44$

If the sum of diagonals is 44, let's check if the sum of rows or columns follows a pattern.
Row 1 sum = $13+4+23 = 40$
Row 3 sum = $12+5+22 = 39$

Let's try the pattern from the solution's 'Correct observation' again, but applied to the 2x2 blocks as shown in the solution:
1st box (top-left 2x2): (13, 4 / 2, 9). The solution says (13+5)-(4+12) = 2. This is not from the 2x2 block. This is from the entire 3x3 grid, taking corners and middle of the first and third rows.

The solution's explanation is very confusing. Let's assume the pattern is: (Top-left + Bottom-right) - (Top-right + Bottom-left) = Center of the 2x2 block.
Let's apply this to the 2x2 blocks:
Block 1 (top-left): (13, 4 / 2, 9). Center is 9. (13+9) - (4+2) = 22 - 6 = 16. This is not 9.

Let's try the pattern from the solution's 'Correct observation' for the 3x3 grid, where the center number is the result:
For the first 2x2 block (top-left):
13  4
2   9
(13 + 9) - (4 + 2) = 22 - 6 = 16. This is not 9.

Let's assume the pattern is: (Top-left + Bottom-left) - (Top-right + Bottom-right) = Center number.
For the first 2x2 block (13, 4, 2, 9):
(13 + 2) - (4 + 9) = 15 - 13 = 2. This is not 9.

Let's use the pattern that the solution *claims* is correct: Center = (Top-left + Bottom-right) - (Top-right + Bottom-left)
This pattern is applied to the 2x2 subgrids, and the result is the center element of that 2x2 subgrid.
For the top-left 2x2 subgrid: $\begin{pmatrix} 13 & 4 \ 2 & 9 \end{pmatrix}$
Center is 9. According to the solution's formula, $(13+9) - (4+2) = 22 - 6 = 16$. This does not equal 9.

There is a discrepancy between the problem's solution and the numbers provided. However, the solution states the correct answer is 5, and the calculation for the third block is (2+24)-(9+12) = 26-21 = 5.
This implies the pattern is applied to the 2x2 block formed by (Row 2, Col 1), (Row 2, Col 2), (Row 3, Col 1), (Row 3, Col 2).
Block 3 (bottom-left): $\begin{pmatrix} 2 & 9 \ 12 & 5 \end{pmatrix}$
Center is 5. Using the formula: $(2+5) - (9+12) = 7 - 21 = -14$. This is not 5.

The solution's explanation is flawed. Let's try to find a pattern that leads to 5 for the missing number.
Consider the sum of numbers in each row or column.
Row 1: $13+4+23 = 40$
Row 2: $2+9+?$
Row 3: $12+5+22 = 39$

Column 1: $13+2+12 = 27$
Column 2: $4+9+5 = 18$
Column 3: $23+?+22$

Let's assume the pattern is (Sum of elements in a 2x2 block) / (some number) = center.

Let's try a simpler pattern: (Col1 + Col3) / 2 = Col2 (or similar)
Row 1: $(13+23)/2 = 36/2 = 18 
e 4$
Row 3: $(12+22)/2 = 34/2 = 17 
e 5$

Let's try (Col1 + Col2) = Col3 - some constant.
Row 1: $13+4 = 17$. $23-17 = 6$.
Row 3: $12+5 = 17$. $22-17 = 5$.
This suggests the constant is decreasing by 1. So for Row 2, $2+9 = 11$. $? - 11 = 4$ (if constant is 5). So $? = 15$. Not an option.

Let's assume the pattern is (Row1 + Row3) / 2 = Row2 (or similar)
Col 1: $(13+12)/2 = 25/2 = 12.5 
e 2$
Col 2: $(4+5)/2 = 9/2 = 4.5 
e 9$

Let's try the pattern from the solution's 'Correct observation' again, but applied to the entire 3x3 grid, where the question mark is the missing value.
(2+24)-(9+12) = 26-21 = 5. This calculation is for the third 2x2 block (bottom-right).
Block 3 (bottom-right): $\begin{pmatrix} 9 & ? \ 5 & 22 \end{pmatrix}$
Center is ?. Using the formula: $(9+22) - (	ext{?}+5) = 24$ (from the solution's example for the second block).
This is very confusing. The solution's explanation is inconsistent.

Given the answer is 5, let's try to work backwards.
If the missing number is 5, then the grid is:
13  4  23
2   9   5
12  5  22

Let's try a pattern for each row:
Row 1: $13+4 = 17$. $23-17 = 6$.
Row 2: $2+9 = 11$. $5-11 = -6$.
Row 3: $12+5 = 17$. $22-17 = 5$.
No clear pattern here.

Let's try a pattern for each column:
Col 1: $13-2 = 11$. $12-2 = 10$.
Col 2: $4+9 = 13$. $5+9 = 14$.
Col 3: $23-5 = 18$. $22-5 = 17$.
No clear pattern here.

Let's assume the pattern from the solution's 'Correct observation' is meant to be applied to the 2x2 subgrids, and the result is the center element of that 2x2 subgrid.
For the top-left 2x2 subgrid: $\begin{pmatrix} 13 & 4 \ 2 & 9 \end{pmatrix}$
Center is 9. The formula is (Top-left + Bottom-right) - (Top-right + Bottom-left).
$(13+9) - (4+2) = 22 - 6 = 16$. This is not 9.

Let's assume the solution's calculation (2+24)-(9+12) = 5 is for the missing number, and the numbers 2, 24, 9, 12 are from the grid. This implies the pattern is applied to the bottom-right 2x2 subgrid.
Bottom-right 2x2 subgrid: $\begin{pmatrix} 9 & ? \ 5 & 22 \end{pmatrix}$
If the missing number is ?, then (9+22) - (?+5) = 24 (from the solution's example for the second block).
$31 - (?+5) = 24$
$31 - ? - 5 = 24$
$26 - ? = 24$
$? = 2$. This is not 5.

The solution's explanation is highly problematic. I will extract the question and the given correct answer, and state the difficulty as medium. The explanation will be null due to the inconsistency.

Answer

5

Answer

26

Answer

0

Answer

48

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