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## Inserting The Missing Character

1. • A. 3
• B. 4
• C. 5
• D. 6
 Ans: C. Sol. In the first column, 29 - 8 = 7 × 3 = 21. In the second column, 19 - 7 = 4 × 3 = 12. Let the missing number in the third column be x. Then, 31 - 6 = 5 × x or 5x = 25 or x = 5.

2. • A. 25
• B. 27
• C. 32
• D. 37
 Ans: B. Sol. In the first row, 5 × 1 = 5, 6 × 1 = 6, 5 + 6 =11. In the second row, 6 × 4 = 24, 3 × 2 = 6, 24 + 6 = 30. In the third row, 3 × 5 = 15, 4 × 3 = 12. So, missing number = 15 + 12 = 27.

3. • A. 2
• B. 3
• C. 4
• D. 5
 Ans: B. Sol. In the first column, 12 × 6 = 72; 18 / 6 = 3. In the third column, 16 × 8 = 128; 32 / 8 = 4. In the second column, 14 × 8 = 112. So, the missing number = 24 / 8 = 3.

4. • A. 7
• B. 9
• C. 11
• D. 15
 Ans: A. Sol. Clearly, (3rd column)2 + (2nd column)2 = (1st column)2 In the first row, 52 + 122 = 132. In the second row, 82 + 152 = 1752. Let the missing number in the third row be x. Then x2 + 242 = 252 or x2 + 576 = 625 or x2 = 49 or x = 7.

5. • A. 15
• B. 18
• C. 19
• D. 20
 Ans: B. Sol. In the first row, 3 × 4 + 3 = 15. In the second row, 7 × 5 + 3 = 38. Therefore, in the third row, missing number = 3 × 5 + 3 = 18.