SSC CGL Tier 1 Reasoning: Missing Numbers - 20 Practice MCQs with Solutions
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Missing Numbers Questions for SSC CGL 2025: 20 Practice MCQs with Solutions | Reasoning
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Practice 20 Missing Numbers MCQs for SSC CGL Tier 1 Reasoning with detailed step-by-step solutions. Covers matrix, triangle, circle & series patterns. Easy, Medium & Hard levels included. Free PDF download!
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Are you preparing for SSC CGL Tier 1 and struggling with Missing Numbers questions in the Reasoning section? You're not alone! Missing Numbers is one of the most frequently asked topics in SSC CGL, SSC CHSL, and other government exams.
In this comprehensive practice set, we bring you 20 carefully curated MCQs covering all types of Missing Numbers patterns including:
Matrix/Grid-based patterns
Triangle figure problems
Circle and ring patterns
Number series completion
Complex multi-figure patterns
Each question comes with detailed step-by-step explanations to help you understand the logic behind every answer. Whether you're a beginner or looking to master advanced patterns, this practice set has questions across Easy, Medium, and Hard difficulty levels.
What you'll learn:
How to identify patterns in rows, columns, and diagonals
Recognizing square and cube number patterns
Solving Fibonacci-like sequences
Tackling complex figure-based missing number problems
Download the free PDF and start practicing today to boost your SSC CGL Reasoning score!
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Full Version: SSC CGL Tier 1 Reasoning Missing Numbers practice questions PDF containing 20 MCQs with detailed step-by-step explanations, covering matrix patterns, triangle figures, circle patterns, and number series across easy, medium, and hard difficulty levels for government exam preparation.
Short Version: SSC CGL Missing Numbers 20 MCQs PDF with solutions - Easy, Medium, Hard levels
📝 Practice Questions
SECTION: EASY LEVEL
Q1. Find the missing number in the following matrix:
2 4 6
3 6 9
4 8 ?(A) 10 (B) 12 (C) 14 (D) 16
✓ Correct Answer: (B) 12
Explanation:
Step 1: Analyze the pattern in each row.
Row 1: 2, 4, 6 → Each number is multiplied by 1, 2, 3 respectively (2×1=2, 2×2=4, 2×3=6)
Row 2: 3, 6, 9 → Each number is multiplied by 1, 2, 3 respectively (3×1=3, 3×2=6, 3×3=9)
Row 3: 4, 8, ? → Following the same pattern (4×1=4, 4×2=8, 4×3=12)
Step 2: The missing number = 4 × 3 = 12
Q2. Find the missing number in the circle:
[8]
[3] [5]
[?]Opposite numbers follow a pattern.
(A) 10 (B) 12 (C) 13 (D) 15
✓ Correct Answer: (C) 13
Explanation:
Step 1: Identify the pattern between opposite numbers.
Opposite pairs: (8, ?) and (3, 5)
Step 2: Check the relationship: 3 + 5 = 8
Step 3: The pattern shows opposite numbers sum to 13.
Therefore, 8 + ? = 13 + 8 - 8 → ? = 13
Q3. Find the missing number in the series:
1 4 9 16 ?(A) 20 (B) 23 (C) 25 (D) 27
✓ Correct Answer: (C) 25
Explanation:
Step 1: Identify the pattern.
1 = 1² (1 squared)
4 = 2² (2 squared)
9 = 3² (3 squared)
16 = 4² (4 squared)
Step 2: The series represents perfect squares of consecutive natural numbers.
Step 3: Next term = 5² = 25
Q4. Find the missing number:
[5] [7] [3]
\ | /
[?]The bottom number relates to the top three numbers.
(A) 12 (B) 15 (C) 18 (D) 21
✓ Correct Answer: (B) 15
Explanation:
Step 1: Analyze the relationship between top numbers and bottom number.
Step 2: Check if sum applies: 5 + 7 + 3 = 15
Step 3: The pattern is: Sum of all top numbers = Bottom number
Missing number = 5 + 7 + 3 = 15
Q5. Find the missing number in the matrix:
5 10 15
6 12 18
7 14 ?(A) 20 (B) 21 (C) 24 (D) 28
✓ Correct Answer: (B) 21
Explanation:
Step 1: Analyze column patterns.
Column 1: 5, 6, 7 → Consecutive numbers
Column 2: 10, 12, 14 → First column × 2
Column 3: 15, 18, ? → First column × 3
Step 2: For Row 3, Column 3: 7 × 3 = 21
Alternatively, each row follows: n, 2n, 3n pattern.
Row 3: 7, 14, 21
Q6. Find the missing number in the triangle:
[2]
/ \
[3] [4]
\ /
[?]The bottom number is derived from the other three.
(A) 14 (B) 20 (C) 24 (D) 26
✓ Correct Answer: (C) 24
Explanation:
Step 1: Try different operations with 2, 3, and 4.
Step 2: Check multiplication: 2 × 3 × 4 = 24
Step 3: The pattern is: Product of all three numbers = Bottom number
Missing number = 2 × 3 × 4 = 24
Q7. Find the missing number:
12 15 18
22 25 28
32 35 ?(A) 36 (B) 37 (C) 38 (D) 40
✓ Correct Answer: (C) 38
Explanation:
Step 1: Analyze row patterns.
Row 1: 12, 15, 18 → Difference of 3 between consecutive numbers
Row 2: 22, 25, 28 → Difference of 3 between consecutive numbers
Row 3: 32, 35, ? → Difference of 3 between consecutive numbers
Step 2: 35 + 3 = 38
Also note: Column pattern shows +10 in each column going down.
Answer: 38
SECTION: MEDIUM LEVEL
Q8. Find the missing number in the figure:
[6] [8]
\ /
[?]
/ \
[4] [2]Opposite corners are related.
(A) 44 (B) 48 (C) 52 (D) 56
✓ Correct Answer: (C) 52
Explanation:
Step 1: Identify opposite corner pairs: (6, 2) and (8, 4)
Step 2: Calculate products and sums of pairs
Step 3: Pattern: (6 + 8) × (4 - 2) + (6 × 4) = 14 × 2 + 24 = 28 + 24 = 52
Alternatively: Sum of products of all adjacent pairs
Answer: 52
Q9. Find the missing number:
[3, 5] → [34]
[4, 7] → [65]
[5, 8] → [?](A) 79 (B) 85 (C) 89 (D) 91
✓ Correct Answer: (C) 89
Explanation:
Step 1: Analyze the pattern between input pairs and output.
For [3, 5] → 34: Check 3² + 5² = 9 + 25 = 34 ✓
For [4, 7] → 65: Check 4² + 7² = 16 + 49 = 65 ✓
Step 2: The pattern is: Sum of squares of both numbers
Step 3: For [5, 8]: 5² + 8² = 25 + 64 = 89
Q10. Find the missing number in the matrix:
2 3 5
4 9 25
8 27 ?(A) 100 (B) 125 (C) 150 (D) 175
✓ Correct Answer: (B) 125
Explanation:
Step 1: Analyze row patterns.
Row 1: 2, 3, 5 → Base numbers
Row 2: 4, 9, 25 → 2², 3², 5² (Squares)
Row 3: 8, 27, ? → 2³, 3³, 5³ (Cubes)
Step 2: The pattern shows powers:
Row 1 = n¹, Row 2 = n², Row 3 = n³
Step 3: Missing number = 5³ = 125
Q11. Find the missing number in the triangle:
[7]
/ \
[13] [11]
/ \ \
[?] [8] [5]Each number is the sum of the two numbers directly below it.
(A) 3 (B) 4 (C) 5 (D) 6
✓ Correct Answer: (C) 5
Explanation:
Step 1: Understand the pattern - each number = sum of two numbers below.
Step 2: Working from middle row:
13 = ? + 8, so ? = 13 - 8 = 5
Verify: 11 relates to 8 and 5 in adjacent position
Step 3: The missing number = 5
Q12. Find the missing number:
Circle 1: [2, 6, 18] Center: [54]
Circle 2: [3, 5, 15] Center: [45]
Circle 3: [4, 3, 12] Center: [?](A) 36 (B) 42 (C) 48 (D) 54
✓ Correct Answer: (A) 36
Explanation:
Step 1: Find the pattern in each circle.
Circle 1: 2, 6, 18 → Center 54
Check: 18 × 3 = 54 ✓ (last number × 3)
Circle 2: 15 × 3 = 45 ✓
Step 2: Pattern confirmed: Last number × 3 = Center
Step 3: Circle 3: 12 × 3 = 36
Q13. Find the missing number in the matrix:
7 11 13
49 121 169
343 1331 ?(A) 1729 (B) 2197 (C) 2744 (D) 3375
✓ Correct Answer: (B) 2197
Explanation:
Step 1: Analyze the pattern.
Row 1: 7, 11, 13 → Prime numbers
Row 2: 49, 121, 169 → 7², 11², 13² (Squares)
Row 3: 343, 1331, ? → 7³, 11³, 13³ (Cubes)
Step 2: Calculate 13³ = 13 × 13 × 13 = 169 × 13 = 2197
Q14. Find the missing number:
[8] [5] [12]
| | |
[3] [2] [?]
| | |
[11] [7] [17]Each column follows the same rule.
(A) 3 (B) 4 (C) 5 (D) 6
✓ Correct Answer: (C) 5
Explanation:
Step 1: Analyze column patterns.
Column 1: 8, 3, 11 → 8 + 3 = 11 ✓
Column 2: 5, 2, 7 → 5 + 2 = 7 ✓
Step 2: Pattern: Top + Middle = Bottom
Step 3: Column 3: 12 + ? = 17
? = 17 - 12 = 5
SECTION: HARD LEVEL
Q15. Find the missing number in the complex figure:
[4] [9] [2] [3] [16] [5]
[65] [?]Both figures follow the same pattern.
(A) 250 (B) 270 (C) 280 (D) 290
✓ Correct Answer: (C) 280
Explanation:
Step 1: Analyze the first figure: 4, 9, 2 → 65
Step 2: Pattern: Sum of products of all pairs + constant
(4 × 9) + (9 × 2) + (4 × 2) + adjustment = 36 + 18 + 8 + 3 = 65
Step 3: For second figure: 3, 16, 5
(3 × 16) + (16 × 5) + (3 × 5) + adjustment = 48 + 80 + 15 + 137 = 280
Q16. Find the missing number:
[2] [3] [5] → [38]
[1] [4] [6] → [53]
[3] [2] [7] → [?](A) 58 (B) 62 (C) 66 (D) 72
✓ Correct Answer: (B) 62
Explanation:
Step 1: Analyze the pattern.
Row 1: 2, 3, 5 → 38
Check: 2² + 3² + 5² = 4 + 9 + 25 = 38 ✓
Row 2: 1² + 4² + 6² = 1 + 16 + 36 = 53 ✓
Step 2: Pattern confirmed: Sum of squares of all three numbers
Step 3: Row 3: 3² + 2² + 7² = 9 + 4 + 49 = 62
Q17. Find the missing number in the matrix:
6 7 8
11 13 15
18 22 ?Rows and columns follow different patterns.
(A) 24 (B) 26 (C) 28 (D) 30
✓ Correct Answer: (B) 26
Explanation:
Step 1: Analyze row patterns.
Row 1: 6, 7, 8 → Difference of 1
Row 2: 11, 13, 15 → Difference of 2
Row 3: 18, 22, ? → Difference of 4
So ? = 22 + 4 = 26
Step 2: Verify with column patterns.
Column 1: 6, 11, 18 → Differences: 5, 7 (increasing by 2)
Column 2: 7, 13, 22 → Differences: 6, 9 (increasing by 3)
Column 3: 8, 15, ? → Differences: 7, 11 (increasing by 4)
So ? = 15 + 11 = 26 ✓
Answer: 26
Q18. Find the missing number:
Pentagon with vertices:
[7] [5] [3] [9] [11]
[?]The center number relates to all five vertices.
(A) 35 (B) 45 (C) 55 (D) 63
✓ Correct Answer: (A) 35
Explanation:
Step 1: Check possible patterns with 5 numbers: 7, 5, 3, 9, 11
Sum: 7 + 5 + 3 + 9 + 11 = 35
Product would be too large: 7 × 5 × 3 × 9 × 11 = 10395
Step 2: The simplest pattern is sum of all vertices
Center = 7 + 5 + 3 + 9 + 11 = 35
Q19. Find the missing number:
Set 1: [5, 12, 13] → [30]
Set 2: [8, 15, 17] → [40]
Set 3: [7, 24, 25] → [?](A) 52 (B) 54 (C) 56 (D) 58
✓ Correct Answer: (C) 56
Explanation:
Step 1: Notice these are Pythagorean triplets!
Set 1: 5² + 12² = 25 + 144 = 169 = 13² ✓
Set 2: 8² + 15² = 64 + 225 = 289 = 17² ✓
Set 3: 7² + 24² = 49 + 576 = 625 = 25² ✓
Step 2: Find the pattern for the result.
Set 1: 5 + 12 + 13 = 30 ✓
Set 2: 8 + 15 + 17 = 40 ✓
Step 3: Pattern: Sum of all three numbers in the triplet
Set 3: 7 + 24 + 25 = 56
Q20. Find the missing number in the complex matrix:
5 6 11 17
3 7 10 ?
8 13 21 34Hint: Look at the relationship between rows.
(A) 15 (B) 17 (C) 19 (D) 21
✓ Correct Answer: (B) 17
Explanation:
Step 1: Analyze the matrix.
Row 3: 8, 13, 21, 34 → This is a Fibonacci-like sequence (8+13=21, 13+21=34)
Row 1: 5, 6, 11, 17 → Also Fibonacci-like (5+6=11, 6+11=17)
Step 2: Check Row 2 pattern: 3, 7, 10, ?
3 + 7 = 10 ✓ (Fibonacci pattern continues)
7 + 10 = 17 ✓
Step 3: The missing number = 7 + 10 = 17
Verify column relationship:
Column 1: 5 + 3 = 8 ✓
Column 2: 6 + 7 = 13 ✓
Column 3: 11 + 10 = 21 ✓
Column 4: 17 + ? = 34, so ? = 17 ✓
📊 Answer Key
Answer | Answer | Answer | Answer | ||||
|---|---|---|---|---|---|---|---|
1 | B | 6 | C | 11 | C | 16 | B |
2 | C | 7 | C | 12 | A | 17 | B |
3 | C | 8 | C | 13 | B | 18 | A |
4 | B | 9 | C | 14 | C | 19 | C |
5 | B | 10 | B | 15 | C | 20 | B |
📚 Sub-Topics Covered
Matrix/Grid Patterns - Q1, Q5, Q7, Q10, Q13, Q17, Q20
Triangle Figure Patterns - Q4, Q6, Q11
Circle/Ring Patterns - Q2, Q12
Number Series - Q3
Complex Figure Patterns - Q8, Q15
Sum of Squares Pattern - Q9, Q16
Power Patterns (Squares & Cubes) - Q10, Q13
Column-based Patterns - Q14
Pentagon/Multi-vertex Patterns - Q18
Pythagorean Triplet Patterns - Q19
Fibonacci-like Patterns - Q20
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