Mathematical Operations problems
- 1. 24 15 3
d 6 15
If 'd' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 37
- B. 8
- C. 22
- D. 29 Discuss
Correct Answer: 22
Explanation:
Rules
(i) (odd number) + (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 24 15 3 ? 24 + 15 = 39 [rule (ii)]
? 39 ÷ 3 = 13 [rule (iv)]
= d
2nd Row d 6 15 ? 13 6 15
? 13 - 6 = 7 [rule (v)]
? 7 + 15 = 22 [rule (i)]
? Resultant of second row = 22
- 2. 28 49 15
h 3 12
If 'h' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 13
- B. 15
- C. 19
- D. 27 Discuss
Correct Answer: 27
Explanation:
Rules
(i) (odd number) + (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 28 49 15 ? 49 - 28 = 21 [rule (iii)]
? 21 + 15 = 36 [rule (i)]
= h
2nd Row h 3 12 ? 36 6 12
? 36 + 3 = 39 [rule (ii)]
? 39 - 12 = 27 [rule (v)]
? Resultant of second row = 27
- 3. 36 15 3
12 3 n
If 'n' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 15/17
- B. 32
- C. 12/17
- D. 36 Discuss
Correct Answer: 15/17
Explanation:
Rules
(i) (odd number) + (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 36 15 3 ? 36 + 15 = 51 [rule (ii)]
? 51 ÷ 3 = 17 [rule (iv)]
= n
2nd Row 12 3 n ? 12 3 17
? 12 + 3 = 15 [rule (ii)]
? 15 ÷ 17 = 15/17 [rule (iv)]
? Resultant of second row = 15/17
- 4. 58 17 5
85 5 n
If 'n' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 255
- B. 32
- C. 49
- D. 34 Discuss
Correct Answer: 255
Explanation:
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 58 17 5 ? 58 + 17 = 75 [rule (ii)]
? 75 ÷ 5 = 15 [rule (iv)]
= n
2nd Row 85 5 n ? 85 5 15
? 85 ÷ 5 = 17 [rule (iv)]
? 17 x 15 = 255 [rule (i)]
? Resultant of second row = 255
- 5. 24 64 15
m 11 15
If 'm' is the resultant of the first row, what is the resultant of the second row?
Options- A. 165
- B. 75
- C. 20
- D. 3 Discuss
Correct Answer: 75
Explanation:
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 24 64 15 ? 64 - 24 = 40 [rule (iii)]
? 40 + 15 = 55 [rule (ii)]
= m
2nd Row m 11 15 ? 55 11 15
? 55 ÷ 11 = 5 [rule (iv)]
? 5 x 15 = 75 [rule (i)]
? Resultant of second row = 75
- 6. 7 21 3
d 7 33
If 'd' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 40
- B. 138
- C. 231
- D. 80 Discuss
Correct Answer: 231
Explanation:
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 7 21 3 ? 7 x 21 = 147 [rule (i)]
? 147 ÷ 3 = 49 = d [rule (iv)]
2nd Row d 7 33 ? 49 7 33
? 49 ÷ 7 = 7 [rule (iv)]
? 7 x 33 = 231 [rule (i)]
? Resultant of second row = 231
- 7. 73 34 13
32 p 15
If 'p' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 713
- B. 50
- C. 20
- D. 525 Discuss
Correct Answer: 525
Explanation:
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 73 34 13 ? 73 - 34 = 39 [rule (v)]
? 39 ÷ 13 = 3 = p [rule (iv)]
2nd Row 32 p 15 ? 32 3 15
? 32 + 3 = 35 [rule (ii)]
? 35 x 15 = 255 [rule (i)]
? Resultant of second row = 525
- 8. 14 5 9
24 w 88
If 'w' is the resultant of the first row, what will be the resultant of the second row?
Options- A. 171
- B. 283
- C. 195
- D. 107 Discuss
Correct Answer: 107
Explanation:
Rules
(i) (Odd number) x (Composite odd number)
(ii) (Even number) + (Odd number)
(iii) (Even number) ? (Perfect square number), then (Perfect square number) - (Even number)
(iv) (Odd number) ÷ (Prime odd number)
(v) (Odd number) - (Even number)
Solution
1st Row 14 5 9 ? 14 + 5 = 19 [rule (ii)]
? 19 x 9 = 171 [rule (i)]
= w
2nd Row 24 w 88 ? 24 171 88
? 24 + 171 = 195 [rule (ii)]
? 195 - 88 = 107 [rule (v)]
? Resultant of second row = 107
- 9. 84 14 13
360 24 17
What is the difference between the resultant of the first row and the second row?
Options- A. 100
- B. 46
- C. 56
- D. 90 Discuss
Correct Answer: 46
Explanation:
Rules
(i) (2-digit even number) ÷ ( Even number)
(ii) (Even number) x (Prime number)
(iii) (Odd number) + (Odd number)
(iv) (3-digit number) - (2-digit perfect square number)
(v) (3-digit number) ÷ (2-digit non-perfect square number)
Solution
1st Row 84 14 13 ? 84 ÷ 14 = 6 [rule (i)]
? 6 x 13 = 78 [rule (ii)]
2nd Row 360 24 17 ? 360 ÷ 24 = 15 [rule (v)]
? 15 + 17 = 32 [rule (iii)]
? Resultant difference = 78 - 32 = 46
- 10. If '+' mean '-', '-' means 'x', 'x' means '÷' and '÷' means '+', then value of 16 x 2 ÷ 25 + 7 - 4 is
Options- A. 104
- B. 5
- C. 22
- D. 4 Discuss
Correct Answer: 5
Explanation:
16 x 2 ÷ 25 + 7 - 4
= 16 ÷ 2 + 25 - 7 x 4
= 8 + 25 - 28
= 25 - 20 = 5
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