Mathematical operations is an important concept of reasoning that is usually asked in various competitive exams (SSC CGL , CHSL; RRB etc.). This topic is asked to test the analytical abilities of the candidates. It shows how good you are at observing things and then implying it to solve the questions. For every type of Mathematical operations question, you must know only one rule i.e. BODMAS. It is “Brackets, Orders, Division, Multiplication, Addition, and Subtraction.
Model Questions
Directions (Qs. 1 - 15): Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
1. 16 * 486 * 9 * 264 * 68 = 1060
A) ×, +, −, ÷ B) ×, ÷, +, −
C) ÷, ×, +, − D) ÷, ×, −, +
2. 387 * 3 * 260 * 14 * 6 = 305
A) +, ÷, ×, − B) ×, +, −, ÷
C) ×, ÷, +, − D) ÷, +, −, ×
3. 216 * 40 * 738 * 18 * 10 = 586
A) ×, −, +, ÷ B) −, +, ÷, ×
C) +, ÷, ×, − D) +, −, ÷, ×
4. 160 * 98 * 14 * 15 * 30 = 235
A) +, ÷, ×, − B) ×, −, +, ÷
C) +, −, ×, ÷ D) +, −, ÷, ×
5. 140 * 25 * 100 * 70 * 120 = 510
A) ×, −, +, ÷ B) ÷, ×, +, −
C) ÷, −, ×, + D) +, −, ÷, ×
6. 51 * 36 * 360 * 108 * 12 = 47
A) ×, −, +, ÷ B) −, +, ÷, ×
C) +, ÷, ×, − D) +, −, ÷, ×
7. 240 * 36 * 9 * 150 * 100 = 110
A) ×, +, −, ÷ B) ×, ÷, +, −
C) ÷, ×, +, − D) ÷, ×, −, +
8. 235 * 65 * 15 * 35 * 7 = 225
A) +, ÷, ×, − B) ×, −, +, ÷
C) +, −, ×, ÷ D) +, −, ÷, ×
9. 25 * 36 * 40 * 120 * 24 = 865
A) ×, −, +, ÷ B) ÷, ×, +, −
C) ÷, −, ×, + D) +, −, ÷, ×
10. 45 * 80 * 20 * 70 * 50 = 200
A) ×, +, −, ÷ B) ×, ÷, +, −
C) ÷, × , +, − D) ÷, ×, −, +
11. 1024 * 32 * 16 * 95 * 23 = 584
A) × , + , − , ÷ , B) ×, ÷ , + , −
C) ÷ , × , + , − D) ÷ , × , − , +
12. 100 * 189 * 18 * 6 * 40 = 123
A) +, ÷ , × , − B) × , + , − , ÷
C) ×, ÷ , + , − D) ÷ , + , − , ×
13. 140 * 65 * 125 * 10 * 16 = 275
A) × , −, +, ÷ B) − , + , ÷ , ×
C) +, ÷ , × , − D) + , − , ÷ , ×
14. 100 * 27 * 135 * 18 * 10 = 52
A) +, ÷ , × , − B) × , −, +, ÷
C) + , − , ×, ÷ D) + , − , ÷ , ×
15. 231 * 7 * 6 * 3 * 59 = 74
A) × , −, +, ÷ B) ÷ , × , + , −
C) ÷ , − , × , + D) + , − , ÷ , ×
Directions (Qs. 16 - 25): Which of the following interchange of signs would make the given equation correct?
16. 240 × 120 + 2 − 60 ÷ 3 = 160
A) +, − B) −, ÷ C) −, × D) ÷, ×
17. 244 − 4 + 40 ÷ 8 × 6 = 53
A) −, ÷ B) +, − C) ÷, × D) −, ×
18. 60 − 40 × 24 ÷ 30 + 36 = 46
A) −, × B) +, − C) −, ÷ D) ÷, ×
19. (16 × 5 ) ÷ 30 − 6 + 40 = 115
A) −, × B) −, ÷ C) ÷, × D) +, −
20. (160 ÷ 40) − 63 + 16 ÷ 8 = 65
A) ÷, × B) −, × C) +, − D) +, ×
21. 343 ÷ 49 − 10 + 26 × 40 = 56
A) −, ÷ B) +, − C) ÷, × D) −, ×
22. 25 × 48 ÷ 6 − 40 + 36 = 204
A) +, − B) −, ÷ C) −, × D) ÷, ×
23. 40 + (12 × 10 ) − 6 ÷ 36 = 24
A) −, × B) −, ÷ C) ÷, × D) +, −
24. 260 ÷ 13 − 5 + 60 × 85 = 75
A) −, ÷ B) +, − C) ÷, × D) −, ×
25. 189 × 9 + 25 ÷ 16 − 100 = 321
A) −, ÷ B) +, − C) ÷, × D) −, ×
26. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 45 ´ 18 # 10 > 60 & 50
A) 53 B) 35 C) 40 D) 60
27. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 28 & 12 ´ 8 # 10 > 80
A) 92 B) 94 C) 96 D) 93
28. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 23 # 10 & 14 > 121 ´ 11
A) 169 B) 254 C) 227 D) 256
29. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 160 ´ 40 # 12 > 25 & 60
A) 45 B) 13 C) 14 D) 31
30. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 6 # 15 ´ 10 & 60 > 85
A) 34 B) 29 C) 43 D) 40
31. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 245 > 621 ´ 36 # 18 & 100
A) 240 B) 350.5 C) 466.5 D) 455.5
32. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 10 # 24 & 18 > 624 ´ 12
A) 274 B) 446 C) 204 D) 434
33. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 60 > 15 # 153 ´ 27 & 20
A) 640 B) 644 C) 635 D) 633
34. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 810 ´ 27 # 6 > 30 & 60
A) 145 B) 150 C) 254 D) 200
35. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘×’ means ‘divided by’ then what would be the value of 10 # 432 ´ 18 & 45 > 54
A) 640 B) 210 C) 249 D) 190
36. If ‘+’ means ‘divided by’, ‘-’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 15 ¸ 20 - 147 + 7
A) 308 B) 460 C) 302 D) 321
37. If ‘+’ means ‘divided by’, ‘-’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 10 ¸ 11 - 208 + 4 ´ 30
A) 193 B) 132 C) 300 D) 150
38. If ‘+’ means ‘divided by’, ‘-’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 240 + 48 ¸ 12 ´ 100 - 75
A) 35 B) 56 C) 46 D) 65
39. If ‘+’ means ‘divided by’, ‘-’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 840 + 24 ¸ 36 ´ 150 - 40
A) 1150 B) 1843 C) 1133 D) 1137
40. If ÷ means ×, × means +, + means − and − means ÷, find the value of 125 ´ 100 + 240 - 36 ¸ 18
A) 115 B) 105 C) 120 D) 144
Key
1-B 2-D 3-B 4-A 5-B 6-D 7-C 8-C 9-A 10-B 11-C 12-A 13-B 14-D 15-C 16-C 17-A 18-D 19-B 20-C 21-D 22-A 23-B 24-D 25-C 26-B 27-D 28-C 29-B 30-A 31-D 32-A 33-C 34-B 35-C 36-D 37-B 38-A 39-A 40-B
Explanations
1. 16 × 486 ÷ 9 + 264 − 68 = 1060
2. 387 ÷ 3 + 260 − 14 × 6 = 305
3. 216 − 40 + 738 ÷ 18 × 10 = 586
4. 160 + 98 ÷ 14 × 15 − 30 = 235
5. 140 ÷ 25 × 100 + 70 − 120 = 510
6. 51 + 36 − 360 ÷ 108 × 12 = 47
7. 240 ÷ 36 × 9 + 150 − 100 = 110
8. 235 + 65 − 15 × 35 ÷ 7 = 225
9. 25 × 36 − 40 + 120 ÷ 24 = 865
10. 45 × 80 ÷ 20 + 70 − 50 = 200
11. 1024 ÷ 32 × 16 + 95 − 23 = 584
12. 100 + 189 ÷ 18 × 6 − 40 = 123
13. 140 − 65 + 125 ÷ 10 × 16 = 275
14. 100 + 27 − 135 ÷ 18 × 10 = 52
15. 231 ÷ 7 − 6 × 3 + 59 = 74
16. 240 − 120 + 2 × 60 ÷ 3 = 160
17. 244 ÷ 4 + 40 − 8 × 6 = 53
18. 60 − 40 ÷ 24 × 30 + 36 = 46
19. (16 × 5 ) − 30 ÷ 6 + 40 = 115
20. (160 ÷ 40) + 63 − 16 ÷ 8 = 65
21. 343 ÷ 49 × 10 + 26 − 40 = 56
22. 25 × 48 ÷ 6 + 40 − 36 = 204
23. 40 + (12 × 10 ) ÷ 6 − 36 = 24
24. 260 ÷ 13 × 5 + 60 − 85 = 75
25. 189 ÷ 9 + 25 × 16 − 100 = 321
26. 45 × 18 # 10 > 60 & 50
= 45 ÷ 18 × 10 + 60 − 50 = 35
27. 28 & 12 × 8 # 10 > 80
= 28 − 12 ÷ 8 × 10 + 80 = 93
28. 23 # 10 & 14 > 121 × 11
= 23 × 10 − 14 + 121 ÷ 11 = 227
29. 160 × 40 # 12 > 25 & 60
= 160 ÷ 40 × 12 + 25 − 60 = 13
30. 6 # 15 × 10 & 60 > 85
= 6 × 15 ÷ 10 − 60 + 85 = 34
31. 245 > 621 × 36 # 18 & 100
= 245 + 621 ÷ 36 × 18 − 100 = 455.5
32. 10 # 24 & 18 > 624 × 12
= 10 × 24 − 18 + 624 ÷ 12 = 274
33. 60 > 15 # 153 × 27 & 20
= 60 + 12 × 450 ÷ 9 − 25 = 635
34. 810 × 27 # 6 > 30 & 60
= 810 ÷ 27 × 6 + 30 − 60 = 150
35. 10 # 432 × 18 & 45 > 54
= 10 × 432 ÷ 18 − 45 + 54 = 249
36. 15 ÷ 20 − 147 + 7
= 15 × 20 + 147 ÷ 7 = 321
37. 10 ÷ 11 − 208 + 4 × 30
= 10 × 11 + 208 ÷ 4 − 30 = 132
38. 240 + 48 ÷ 12 × 100 − 75
= 240 ÷ 48 × 12 − 100 + 75 = 35
39. 840 + 24 ÷ 36 × 150 − 40
= 840 ÷ 24 × 36 − 150 + 40 = 1150
40. 125 × 100 + 240 − 36 ÷ 18
= 125 + 100 − 240 ÷ 36 × 18 = 105
Directions (Qs. 1 - 5): Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
1. 75 * 15 * 80 * 15 * 20 = 395
A) × , + , − , ÷ B) ×, ÷ , + , −
C) ÷ , × , + , − D) ÷ , × , − , +
2.105 * 162 * 18 * 5 * 20 = 130
A) +, ÷ , × , − B) × , + , − , ÷
C) ×, ÷ , + , − D) ÷ , + , − , ×
3. 250 * 112 * 169 * 26 * 20 = 268
A) × , −, +, ÷ B) − , + , ÷ , ×
C) +, ÷ , × , − D) + , − , ÷ , ×
4. 54 * 63 * 124 * 31 * 12 = 69
A) +, ÷ , × , − B) × , −, +, ÷
C) + , − , ×, ÷ D) + , − , ÷ , ×
5. 462 * 22 * 12 * 9 * 200 = 113
A) × , −, +, ÷ B) ÷ , × , + , −
C) ÷ , − , × , + D) + , − , ÷ , ×
Directions (Qs. 6 - 10): Which of the following interchange of signs would make the given equation correct?
6. 150 − 10 ÷ 112 × 16 = 80
A) + , − B) − , ÷ C) − , × D) ÷ , ×
7. 165 ÷ 45 × 30 − 100 + 89 = 121
A) − , ÷ B) + , −
C) ÷ , × D) − , ×
8. 79 × 96 − 16 + 81 ÷ 125 = 430
A) − , × B) + , −
C) − , ÷ D) ÷ , ×
9. (117 + 63) − 26 × 217 ÷ 14 = 457
A) − , × B) − , ÷
C) ÷ , × D) + , −
10. (40 − 35) ÷ 28 + 147 × 63 = 134
A) ÷ , × B) − , ×
C) + , − D) + , ×
11. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of 300 > 129 * 33 # 22 & 140
A) 240 B) 350 C) 166 D)246
12. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of 8 # 60 & 50 > 84 * 6
A) 444 B) 446 C) 404 D) 434
13. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divideby’ then what would be the value of 60 > 15 # 153 * 27 & 20
A) 140 B) 144 C) 125 D) 133
14. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of 252 *18 # 15 > 70 & 50
A) 145 B) 230 C) 154 D) 231
15. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of 58 # 275 * 29 & 120 > 60
A) 480 B) 630 C) 490 D) 605
16. Select the correct combination of mathematical signs to replace * signs and to balance the following equation: 360 * 123 * 954 * 18 = 290
A) ÷ , × , − B) + , ÷ , −
C) − , + , ÷ D) × , − , +
17. Select the correct combination of mathematical signs to replace * signs and to balance the following equation: 118 * 295 * 59 * 12 = 178
A) − , + , ÷ B) + , ÷ , ×
C) ÷ , × , + D) − , + , ×
18. Select the correct combination of mathematical signs to replace * signs and to balance the following equation: 918 * 36 * 24 * 111 = 723
A) ÷ , × , + B) ÷ , × , −
C) + , ×, − D) + , × , ÷
19. Select the correct combination of mathematical signs to replace * signs and to balance the following equation: 1056 * 93 * 15 * 36 = 609
A) + , ×, ÷ B) + , ×, −
C) ×, ÷ , + D) + , − , ×
20. Select the correct combination of mathematical signs to replace * signs and to balance the following equation: 123 ÷ 18 × 30 + 66 = 271
A) − , × , + B) + , ×, ÷
C) ÷ , × , + D) ÷ , + , −
21. Which interchange of signs will make the following equation correct? 101 + 101 ÷ 101 − 101 × 101 = 101
A) + and ÷ B) + and −
C) + and × D) − and ×
22. If ‘+’ means ‘divided by’, ‘ − ’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 39 ÷ 12 − 162 + 9
A) 358 B) 240 C) 402 D) 486
23. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 14 ÷ 13 − 189 + 9 × 12
A) 193 B) 191 C) 300 D) 150
24. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 126 + 36 ÷ 40 × 29 − 95
A) 206 B) 156 C) 146 D) 166
25. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 1600 + 36 ÷ 45 × 110 − 53
A) 1943 B) 1843 C) 1933 D) 1837
26. If ÷ means ×, × means +, + means − and − means ÷, find the value of 58 × 26 + 45 − 27 ÷ 30
A) 15 B) 34 C) 20 D) 44
27. If ÷ means ×, × means +, + means − and − means ÷, find the value of 63 − 18 + 25 × 36 ÷ 5
A) 160.2 B) 155.6 C) 164.5 D) 158.5
28. If ÷ means ×, × means +, + means − and − means ÷, find the value of 500 + 264 − 12 ÷ 10 × 45
A) 388 B) 391 C) 390 D) 325
29. If ÷ means ×, × means +, + means − and − means ÷, find the value of 216 ÷ 2 × 83 + 320 − 16
A) 525 B) 495 C) 630 D) 696
30. If ! means +, @ means − , # means × and & means ÷, then what is the value of 150 & 45 # 30 ! 63 @ 44
A) 136 B) 140 C) 119 D) 159
Key
1-C 2-A 3-B 4-D 5-C 6-D 7-B 8-C 9-D 10-B 11-D 12-A 13-C 14-B 15-C 16-C 17-B 18-A 19-D 20-C 21-C 22-D 23-B 24-A 25-A 26-B 27-D 28-D 29-B 30-C
Explanations
1. 75 ÷ 15 × 80 + 15 − 20 = 395
Hence option C is correct.
2. Solution : 105 + 162 ÷ 18 × 5 − 20 = 130
Hence Option A is correct.
3. 250 − 112 + 169 ÷ 26 × 20 = 268
Hence option B is correct.
4. 54 + 63 − 124 ÷ 31 × 12 = 69
Hence option D is correct.
5. 462 ÷ 22 − 12 × 9 + 200 = 113
Hence option C is correct.
6. 150 − 10 × 112 ÷ 16 = 80
Hence option D is correct.
7. 165 ÷ 45 × 30 + 100 − 89 = 121
Hence option B is correct.
8. 79 × 96 ÷ 16 + 81 − 125 = 430
Hence option C is correct.
9. (117 − 63) + 26 × 217 ÷ 14 = 457
Hence option D is correct.
10. (40 × 35) ÷ 28 + 147 − 63 = 134
Hence option B is correct.
11. 300 > 129 * 33 # 22 & 140
= 300 + 129 ÷ 33 × 22 − 140 = 246
Hence option D is correct.
12. 8 # 60 & 50 > 84 * 6
= 8 × 60 − 50 + 84 ÷ 6 = 444
Hence option A is correct.
13. 60 > 15 # 153 * 27 & 20
= 60 + 15 × 153 ÷ 27 − 20 = 125
Hence option C is correct.
14. 252 * 18 # 15 > 70 & 50
= 252 ÷ 18 × 15 + 70 − 50 = 230
Hence option B is correct.
15. 58 # 275 * 29 & 120 > 60
= 58 × 275 ÷ 29 − 120 + 60 = 490
Hence option C is correct.
16. 360 − 123 + 954 ÷ 18 = 290
Hence option C is correct.
17. 118 + 295 ÷ 59 × 12 = 178
Hence option B is correct.
18. 918 ÷ 36 × 24 + 111 = 723
Hence option A is correct.
19. 1056 + 93 − 15 × 36 = 609
Hence option D is correct.
20. 123 ÷ 18 × 30 + 66 = 271
Hence option C is correct.
21. 101 × 101 ÷ 101 − 101 + 101 = 101
Hence option C is correct.
22. 39 ÷ 12 − 162 + 9
= 39 × 12 + 162 ÷ 9 = 486
Hence option D is correct.
23. 14 ÷ 13 − 189 + 9 × 12
= 14 × 13 + 189 ÷ 9 − 12 = 191
Hence option B is correct.
24. 126 + 36 ÷ 40 × 29 − 95
= 126 ÷ 36 × 40 − 29 + 95 = 206
25. 1600 + 36 ÷ 45 × 110 − 53
= 1600 ÷ 36 × 45 − 110 + 53 = 1943
26. 58 × 26 + 45 − 27 ÷ 30
= 58 + 26 − 45 ÷ 27 × 30 = 34
27. 63 − 18 + 25 × 36 ÷ 5
= 63 ÷ 18 − 25 + 36 × 5 = 158.5
28. 500 + 264 − 12 ÷ 10 × 45
= 500 − 264 ÷ 12 × 10 + 45 = 325
29. 216 ÷ 2 × 83 + 320 − 16
= 216 × 2 + 83 − 320 ÷ 16 = 495
30. 150 & 45 # 30 ! 63 @ 44
= 150 ÷ 45 × 30 + 63 − 44 = 119
Directions (Qs. 1 - 5): Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
1. 64 * 8 * 14 * 6 * 12 = 106
A) ×, +, −, ÷ B) ×, ÷, +, −
C) ÷, ×, +, − D) ÷, ×, −, +
2. 75 * 39 * 13 * 4 * 15 = 72
A) +, ÷, ×, − B) ×, +, −, ÷
C) ×, ÷, +, − D) ÷, +, −, ×
3. 23 * 11 * 75 * 5 * 14 = 222
A) ×, −, +, ÷ B) −, +, ÷, ×
C) +, ÷, ×, − D) +, −, ÷, ×
4. 25 * 78 * 27 * 9 * 10 = 73
A) +, ÷, ×, − B) ×, −, +, ÷
C) +, −, ×, ÷ D) +, −, ÷, ×
5. 231 * 21 * 9 * 6 * 120 = 77
A) ×, −, +, ÷ B) ÷, ×, +, −
C) ÷, −, ×, + D) +, −, ÷, ×
6. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of
35 > 63 * 7 # 4 & 28
A) 24 B) 35 C) 16 D) 43
7. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of
A) 46 B) 44 C) 40 D) 43
8. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of
30 > 14 # 35 * 5 & 7
A) 100 B) 144 C) 121 D) 133
9. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of
123 * 18 # 36 > 21 & 54
A) 145 B) 213 C) 154 D) 231
10. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘*’ means ‘divided by’ then what would be the value of
26 # 14 * 13 & 25 > 49
A) 48 B) 63 C) 52 D) 65
11. Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
123 * 68 * 345 * 15 = 78
A) ÷, ×, − B) +, ÷, −
C) −, +, ÷ D) ×, −, +
12. Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
265 * 639 * 27 * 36 = 1117
A) −, +, ÷ B) +, ÷, ×
C) ÷, ×, + D) −, +, ×
13. Select the correct combination of mathematical signs to replace * signs and to balance the following equation.
840 * 15 * 10 * 59 = 619
A) ÷, ×, + B) ÷, ×, −
C) +, ×, − D) +, ×, ÷
14. Select the correct combination of mathematical signs to replace * signs and to balance the following equation:
123 * 321 * 12 * 23 = 168
A) +, ×, ÷ B) +, ×, −
C) ×, ÷, + D) +, −, ×
15. Select the correct combination of mathematical signs to replace * signs and to balance the following equation:
48 * 42 * 49 * 47 = 103
A) −, ×, + B) +, ×, ÷
C) ÷, ×, + D) ÷, +, −
16. Which interchange of signs will make the following equation correct?
23 + 23 ÷ 23 − 23 × 23 = 23
A) + and ÷ B) + and −
C) + and × D) − and ×
17. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of
84 ÷ 42 − 24 + 48
A) 3582.5 B) 24 C) 42 D) 3528.5
18. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of
20 ÷ 15 − 45 + 5 × 9
A) 150 B) 300 C) 30 D) 15
19. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of
64 + 10 ÷ 25 × 14 − 26
A) 172 B) 158 C) 148 D) 162
20. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of
192 + 96 ÷ 25 × 18 − 9
A) 41 B) 43 C) 33 D) 37
21. If ÷ means ×, × means +, + means − and − means ÷, find the value of
49 × 4 + 28 − 7 ÷ 10
A) 10 B) 13 C) 15 D) 20
22. If ÷ means ×, × means +, + means − and − means ÷, find the value of
49 − 4 + 28 × 7 ÷ 10
A) 60.25 B) 55.26 C) 64.25 D) 54.25
23. If ÷ means ×, × means +, + means − and − means ÷, find the value of
57 + 143 − 11 ÷ 12 × 8
A) − 88 B) 91 C) 90 D) − 91
24. If ÷ means ×, × means +, + means − and − means ÷, find the value of
15 ÷ 36 × 120 + 96 − 32
A) 525 B) 657 C) 630 D) 696
25. If ! means +, @ means − , # means × and & means ÷, then what is the value of
45 & 20 # 16 ! 30 @ 25
A) 36 B) 40 C) 41 D) 59
Key
1-C 2-A 3-B 4-D 5-C 6-D 7-A 8-C 9-B 10-C 11-C 12-B 13-A 14-D 15-C 16-C 17-D 18-B 19-A 20-A 21-B 22-D 23-D 24-B 25-C
Explanations
1. 64 ÷ 8 × 14 + 6 − 12 = 106
Hence option (C) is correct.
2. 75 + 39 ÷ 13 × 4 − 15 = 72
Hence option (A) is correct.
3. 23 − 11 + 75 ÷ 5 × 14 = 222
Hence option (B) is correct.
4. 25 + 78 − 27 ÷ 9 × 10 = 73
Hence option (D) is correct.
5. 231 ÷ 21 − 9 × 6 + 120 = 77
Hence option (C) is correct.
6. 35 > 63 * 7 # 4 & 28
= 35 + 63 ÷ 7 × 4 − 28 = 43
Hence Option (d) is correct.
7. 7 # 8 & 14 > 8 * 2 = 7 × 8 − 14 + 8 ÷ 2 = 46
Hence option (A) is correct.
8. 30 > 14 # 35 * 5 & 7
= 30 + 14 × 35 ÷ 5 − 7 = 121
Hence option (C) is correct.
9. 123 * 18 # 36 > 21 & 54
= 123 ÷ 18 × 36 + 21 − 54 = 213
Hence option (B) is correct.
10. 26 # 14 * 13 & 25 > 49
= 26 × 14 ÷ 13 − 25 + 49 = 52
Hence option (C) is correct.
11. 123 − 68 + 345 ÷ 15 = 78
Hence option (C) is correct.
12. 265 + 639 ÷ 27 × 36 = 1117
Hence option (B) is correct.
13. 840 ÷ 15 × 10 + 59 = 619
Hence option (A) is correct.
14. 123 + 321 − 12 × 23 = 168
Hence option (D) is correct.
15. 48 ÷ 42 × 49 + 47 = 103
Hence option (C) is correct.
16. 23 × 23 ÷ 23 − 23 + 23 = 23
Hence option (C) is correct.
17. 84 ÷ 42 − 24 + 48
= 84 × 42 + 24 ÷ 48 = 3528.5
Hence option (D) is correct.
18. 20 ÷ 15 − 45 + 5 × 9
= 20 × 15 + 45 ÷ 5 − 9 = 300
Hence option (B) is correct.
19. 64 + 10 ÷ 25 × 14 − 26
= 64 ÷ 10 × 25 − 14 + 26 = 172
Hence pption (A) is correct.
20. 192 + 96 ÷ 25 × 18 − 9
= 192 ÷ 96 × 25 − 18 + 9 = 41
Hence option (A) is correct.
21. 49 × 4 + 28 − 7 ÷ 10
= 49 + 4 − 28 ÷ 7 × 10 = 13
Hence option (B) is correct.
22. 49 − 4 + 28 × 7 ÷ 10
= 49 ÷ 4 − 28 + 7 × 10 = 54.25
Hence option (D) is correct.
23. 57 + 143 − 11 ÷ 12 × 8
= 57 − 143 ÷ 11 × 12 + 8 = − 91
Hence option (D) is correct.
24. 15 ÷ 36 × 120 + 96 − 32
= 15 × 36 + 120 − 96 ÷ 32 = 657
Hence option (B) is correct.
25. 45 & 20 # 16 ! 30 @ 25
= 45 ÷ 20 × 16 + 30 − 25 = 41
Hence option (C) is correct.
Some more Questions
Directions (Qs. 1 - 5): Which of the following interchange of signs would make the given equation correct?
1. 75 − 7 ÷ 21 × 3 = 26
A) +, − B) −, ÷ C) −, × D) ÷, ×
Explanation: 75 − 7 × 21 ÷ 3 = 26
Hence option (D) is correct.
2. 24 ÷ 3 × 9 − 6 + 12 = 66
A) −, ÷ B) +, − C) ÷, × D) −, ×
Explanation: 24 ÷ 3 × 9 + 6 − 12 = 66
Hence option (B) is correct.
3. 8 × 16 − 4 + 24 ÷ 20 = 36
A) −, × B) +, − C) −, ÷ D) ÷, ×
Explanation: 8 × 16 ÷ 4 + 24 − 20 = 36
Hence option (C) is correct.
4. (23 + 18) − 5 × 14 ÷ 7 = 15
A) −, × B) −, ÷ C) ÷, × D) +, −
Explanation: (23 − 18) + 5 × 14 ÷ 7 = 15
Hence option (D) is correct.
5. (12 − 11) ÷ 4 + 63 × 32 = 64
A) ÷, × B) −, × C) +, − D) +, ×
Explanation: (12 × 11) ÷ 4 + 63 − 32 = 64
Hence option (B) is correct.
Key
1-D 2-B 3-C 4-D 5-B