Reasoning — Missing Number in Matrix

6 mins
Time
8
Questions
🎓
1
Per Q

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Reasoning — Missing Number in Matrix — Questions with Answers Open after you finish the quiz — all 8 questions, with answers and explanations.
Q1. Consider a 3x3 matrix: Row 1: 5, 6, 11 Row 2: 7, 8, 15 Row 3: 9, 10, ? What is the missing number?
  1. 17
  2. 18
  3. 19
  4. 20
Show answer
Answer: C. 19
The pattern is that the third number in each row is the sum of the first two numbers. Row 1: 5 + 6 = 11. Row 2: 7 + 8 = 15. Following this pattern, for Row 3: 9 + 10 = 19. Therefore, the missing number is 19.
Q2. Consider a 3x3 matrix: Row 1: 3, 4, 12 Row 2: 5, 6, 30 Row 3: 7, 8, ? What is the missing number?
  1. 49
  2. 52
  3. 56
  4. 63
Show answer
Answer: C. 56
The pattern is that the third number in each row is the product of the first two numbers. Row 1: 3 * 4 = 12. Row 2: 5 * 6 = 30. Following this pattern, for Row 3: 7 * 8 = 56. Therefore, the missing number is 56.
Q3. Consider a 3x3 matrix: Row 1: 10, 5, 50 Row 2: 12, 3, 36 Row 3: 15, 4, ? What is the missing number?
  1. 55
  2. 60
  3. 65
  4. 70
Show answer
Answer: B. 60
The pattern is that the third number in each row is the product of the first two numbers. Row 1: 10 * 5 = 50. Row 2: 12 * 3 = 36. Following this pattern, for Row 3: 15 * 4 = 60. Therefore, the missing number is 60.
Q4. Consider a 3x3 matrix: Row 1: 2, 3, 13 Row 2: 4, 5, 41 Row 3: 6, 7, ? What is the missing number?
  1. 72
  2. 80
  3. 85
  4. 90
Show answer
Answer: C. 85
The pattern is that the third number in each row is the sum of the squares of the first two numbers. Row 1: 2^2 + 3^2 = 4 + 9 = 13. Row 2: 4^2 + 5^2 = 16 + 25 = 41. Following this pattern, for Row 3: 6^2 + 7^2 = 36 + 49 = 85. Therefore, the missing number is 85.
Q5. Consider a 3x3 matrix: Row 1: 9, 4, 26 Row 2: 7, 5, 19 Row 3: 8, 6, ? What is the missing number?
  1. 20
  2. 21
  3. 22
  4. 23
Show answer
Answer: B. 21
The pattern is (First number * 3) - (Row number). Row 1: (9 * 3) - 1 = 27 - 1 = 26. Row 2: (7 * 3) - 2 = 21 - 2 = 19. Following this pattern, for Row 3: (8 * 3) - 3 = 24 - 3 = 21. Therefore, the missing number is 21.
Q6. Consider a 3x3 matrix: Row 1: 7, 2, 51 Row 2: 9, 4, 85 Row 3: 11, 6, ? What is the missing number?
  1. 121
  2. 125
  3. 127
  4. 131
Show answer
Answer: C. 127
The pattern is that the third number in each row is the square of the first number plus the second number. Row 1: 7^2 + 2 = 49 + 2 = 51. Row 2: 9^2 + 4 = 81 + 4 = 85. Following this pattern, for Row 3: 11^2 + 6 = 121 + 6 = 127. Therefore, the missing number is 127.
Q7. Consider a 3x3 matrix: Row 1: 15, 7, 8 Row 2: 23, 11, 12 Row 3: 31, 15, ? What is the missing number?
  1. 14
  2. 16
  3. 18
  4. 20
Show answer
Answer: B. 16
The pattern is that the third number in each row is the difference between the first and second numbers. Row 1: 15 - 7 = 8. Row 2: 23 - 11 = 12. Following this pattern, for Row 3: 31 - 15 = 16. Therefore, the missing number is 16.
Q8. Consider a 3x3 matrix: Row 1: 12, 18, 30 Row 2: 16, 24, 40 Row 3: 20, 30, ? What is the missing number?
  1. 45
  2. 50
  3. 55
  4. 60
Show answer
Answer: B. 50
The pattern involves a common factor for each row and a set of internal multipliers. For Row 1, the common factor is 6: 6 * 2 = 12, 6 * 3 = 18, 6 * 5 = 30. For Row 2, the common factor is 8: 8 * 2 = 16, 8 * 3 = 24, 8 * 5 = 40. The common factors (6, 8, ...) are increasing by 2. So for Row 3, the common factor will be 10. The internal multipliers (2, 3, 5) remain constant across rows. Following this pattern, for Row 3: First number: 10 * 2 = 20. Second number: 10 * 3 = 30. Third (missing) number: 10 * 5 = 50. Therefore, the missing number is 50.
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