Matrix Questions for SSC CHSL

What is a Matrix Question

A matrix is a grid, usually 3x3 or 4x4, filled with numbers or letters. One cell is blank or marked with a question mark. Your job is to find what goes in that blank by spotting the rule that connects the other values. The rule could work row-wise (across), column-wise (down), or diagonally. SSC CHSL almost always uses number matrices — letter matrices are rarer but do appear.

• Grid is usually 3 rows x 3 columns (3x3)
• One cell is missing — marked as ? or left blank
• Pattern can be row-based, column-based, or diagonal
• Number matrices are most common in CHSL Reasoning
• Always check all three rows and all three columns before picking your answer

Common Patterns to Look For

Most matrix questions use one of five pattern types. Once you identify which type it is, the answer follows directly. The key is to test the complete rows first — if a row has all three values filled, find what operation connects them. Then apply that same operation to the incomplete row to find the missing value.

• Addition or Subtraction: values in a row or column add up to a fixed total
• Multiplication or Division: one value is the product or ratio of the other two
• Square or Cube: values are perfect squares or cubes of row/column numbers
• Middle value rule: the center cell equals some operation on surrounding cells
• Difference pattern: differences between consecutive values follow a series

Step-by-Step Solving Method

Follow this four-step approach every time. Do not jump to options first — work the pattern, then match. This prevents the common trap of choosing a close but wrong answer from the options.

• Step 1: Look at the complete rows (no missing values) and find the pattern
• Step 2: Confirm the same pattern holds in the second complete row
• Step 3: Apply the confirmed pattern to the incomplete row to get the answer
• Step 4: If row pattern fails, try column-wise with the same four steps
• Step 5: If both fail, try diagonal — rare but appears once a year in CHSL

Letter Matrix

Letter matrices work the same way but use alphabetical positions instead of numbers. Assign A=1, B=2 ... Z=26. Then find the pattern in terms of those position numbers. The gap between letters in a row or column is usually fixed or follows a simple series. Letter matrices in CHSL are straightforward — gaps of 2, 3, or 4 positions are most common.

• Convert each letter to its alphabet position number first
• Then find the numeric pattern as you would in a number matrix
• Common patterns: each letter moves +2 or +3 positions across a row
• Sometimes alternate rows have different fixed jumps — check carefully
• Z wraps back to A in some questions — treat Z=26 and A=1 next

• Checking only one row and assuming the pattern — always verify with a second row before applying
• Confusing row pattern with column pattern — if row gives no clear pattern, immediately try column-wise
• In letter matrices, forgetting to convert letters to numbers first and trying to guess visually
• Choosing an answer that looks close but not checking the arithmetic — matrix questions have trap options that are off by one step
• Spending more than 90 seconds on one matrix question — if pattern is not clear in 60 seconds, mark and move, come back later

• SAMD rule: check Sum, then Average, then Multiplication, then Difference — in that order for any matrix
• Two-row test: never trust a pattern unless it works in at least two complete rows or columns
• Letter matrix tip: think of the alphabet as a number line — A is stop 1, Z is stop 26, every question is just gap-finding on that line
• Mnemonic RCD: Row first, Column second, Diagonal last — this is the order to try patterns

• SSC CHSL typically puts 1 to 2 matrix questions in Tier-1 Reasoning. They are easy to medium difficulty — rarely hard. Do not skip them.
• Recent papers (2023-2024) favor number matrices with multiplication or mixed operations (like first column squared plus second column equals third). Keep this in mind.
• Time target: 45-60 seconds per matrix question. If you practice the SAMD method, you will hit this comfortably.
• Options in CHSL matrix questions are usually set as traps — for example if the answer is 35, wrong options will be 30, 40, and 45. Calculate fully before looking at options.
• Letter matrix questions in CHSL often appear in coded matrix format where each row has a code word and you find the code for a new word — this is a separate type but also pattern-based, so same logic applies.