Directions (Qs. 1 - 5): Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.
1. 48 ∗ 16 ∗ 13 ∗ 40 ∗ 15 = 64
A) ×, +, −, ÷ B) ×, ÷, +, − C) ÷, ×, +, − D) ÷, ×, −, +
Explanation: 48 ÷ 16 × 13 + 40 − 15 = 64
Ans: C
2. 109 ∗ 270 ∗ 18 ∗ 6 ∗ 11 = 188
A) +, ÷, ×, − B) ×, +, −, ÷ C) ×, ÷, +, − D) ÷, +, −, ×
Explanation: 109 + 270 ÷ 18 × 6 − 11 = 188
Ans: A
3. 160 ∗ 113 ∗ 208 ∗ 26 ∗ 15 = 167
A) ×, −, +, ÷ B) −, +, ÷, × C) +, ÷, ×, − D) +, −, ÷, ×
Explanation: 160 − 113 + 208 ÷ 26 × 15 = 167
Ans: B
4. 71 ∗ 35 ∗ 248 ∗ 31 ∗ 13 = 2
A) +, ÷, ×, − B) ×, −, +, ÷ C) +, −, ×, ÷ D) +, −, ÷, ×
Explanation: 71 + 35 − 248 ÷ 31 × 13 = 2
Ans: D
5. 704 ∗ 22 ∗ 12 ∗ 5∗ 28 = 0
A) ×, −, +, ÷ B) ÷, ×, +, − C) ÷, −, ×, + D) +, −, ÷, ×
Explanation: 704 ÷ 22 − 12 × 5 + 28 = 0
Ans: C
Directions (Qs. 6 -10): Which of the following interchange of signs would make the given equation correct?
6. 140 − 10 ÷ 128 × 16 = 60
A) +, − B) −, ÷ C) −, × D) ÷, ×
Explanation: 140 − 10 × 128 ÷ 16 = 60
Ans: D
7. 345 ÷ 23 × 19 − 145 + 73 = 357
A) −, ÷ B) +, − C) ÷, × D) −, ×
Explanation: 345 ÷ 23 × 19 + 145 − 73 = 357
Ans: B
8. 56 × 170 − 17 + 180 ÷ 35 = 705
A) −, × B) +, − C) −, ÷ D) ÷, ×
Explanation: 56 × 170 ÷ 17 + 180 − 35 = 705
Ans: C
9. (127 + 49) − 34 × 198 ÷ 18 = 452
A) −, × B) −, ÷ C) ÷, × D) +, −
Explanation: (127 − 49) + 34 × 198 ÷ 18 = 452
Ans: D
10. (29 − 10) ÷ 29 + 110 × 35 = 85
A) ÷, × B) −, × C) +, − D) +, ×
Explanation: (29 × 10) ÷ 29 + 110 − 35 = 85
Ans: B
11. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 250 > 387 ∗ 43 # 17 & 101
A) 240 B) 350 C) 153 D) 302
Explanation: 250 > 387 ∗ 43 # 17 & 101
= 250 + 387 ÷ 43 × 17 − 101 = 302
Ans: D
12. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 10 # 59 & 63 > 540 ∗ 36
A) 542 B) 446 C) 504 D) 434
Explanation: 10 # 59 & 63 > 540 ∗ 36
= 10 × 59 − 63 + 540 ÷ 36 = 542
Ans: A
13. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 78 > 19 # 253 ∗ 11 & 33
A) 540 B) 344 C) 482 D) 433
Explanation: 78 > 19 # 253 ∗ 11 & 33
= 78 + 19 × 253 ÷ 11 − 33 = 482
Ans: C
14. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 208 ∗ 13 # 15 > 90 & 30
A) 345 B) 300 C) 254 D) 231
Explanation: 208 ∗ 13 # 15 > 90 & 30
= 208 ÷ 13 × 15 + 90 − 30 = 300
Ans: B
15. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 23 # 400 ∗ 25 & 92 > 98
A) 480 B) 630 C) 374 D) 751
Explanation: 23 # 400 ∗ 25 & 92 > 98
= 23 × 400 ÷ 25 − 92 + 98 = 374
Ans: C
16. Select the correct combination of mathematical signs to replace ∗ signs and to balance the following equation: 135 ∗ 89 ∗ 336 ∗ 12 = 74
A) ÷, ×, − B) +, ÷, − C) −, +, ÷ D) ×, −, +
Explanation: 135 − 89 + 336 ÷ 12 = 74
Ans: C
17. Select the correct combination of mathematical signs to replace ∗ signs and to balance the following equation: 135 ∗ 384 ∗ 64 ∗ 15 = 225
A) −, +, ÷ B) +, ÷, × C) ÷, ×, + D) −, +, ×
Explanation: 135 + 384 ÷ 64 × 15 = 225
Ans: B
18. Select the correct combination of mathematical signs to replace ∗ signs and to balance the following equation: 954 ∗ 36 ∗ 22 ∗ 110 = 693
A) ÷, ×, + B) ÷, ×, − C) +, ×, − D) +, ×, ÷
Explanation: 954 ÷ 36 × 22 + 110 = 693
Ans: A
19. Select the correct combination of mathematical signs to replace ∗ signs and to balance the following equation: 3956 ∗ 100 ∗ 16 ∗ 34 = 3512
A) +, ×, ÷ B) +, ×, − C) ×, ÷, + D) +, −, ×
Explanation: 3956 + 100 − 16 × 34 = 3512
Ans: D
20. Select the correct combination of mathematical signs to replace ∗ signs and to balance the following equation: 224 ∗ 14 ∗ 27 ∗18 = 450
A) −, ×, + B) +, ×, ÷ C) ÷, ×, + D) ÷, +, −
Explanation: 224 ÷ 14 × 27 + 18 = 450
Ans: C
21. Which interchange of signs will make the following equation correct? 110 × 110 ÷ 110 − 110 + 110 = 110
A) + and ÷ B) + and − C) + and × D) − and ×
Explanation: 110 × 110 ÷ 110 − 110 + 110 = 110
Ans: C
22. If ‘+’ means ‘divided by’, ‘−‘ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 56 ÷ 23 − 128 + 8
A) 1358 B) 1240 C) 1402 D) 1304
Explanation: 56 ÷ 23 − 128 + 8
= 56 × 23 + 128 ÷ 8 = 1304
Ans: D
23. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 6 ÷ 28 − 105 + 9 × 11
A) 193 B) 172 C) 300 D) 150
Explanation: 6 ÷ 28 − 105 + 9 × 11
= 6 × 28 + 105 ÷ 7 − 11 = 172
Ans: B
24. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 162 + 27 ÷ 45 × 13 − 74
A) 331 B) 156 C) 146 D) 166
Explanation: 162 + 27 ÷ 45 × 13 − 74
= 162 ÷ 27 × 45 − 13 + 74 = 331
Ans: A
25. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 180 + 36 ÷ 45 × 117 − 59
A) 167 B) 843 C) 193 D) 183
Explanation: 180 + 36 ÷ 45 × 117 − 59
180 ÷ 36 × 45 − 117 + 59 = 167
Ans: A
26. If ÷ means ×, × means +, + means − and − means ÷, then find the value of 58 × 126 + 306 − 17 ÷ 20
A) −125 B) −176 C) 120 D) 144
Explanation: 58 × 126 + 306 − 17 ÷ 20
= 58 + 126 − 306 ÷ 17 × 20 = −176
Ans: B
27. If ÷ means ×, × means +, + means − and − means ÷, find the value of 80 − 15 + 15 × 66 ÷ 6
A) 160.2 B) 255.6 C) 164.5 D) 386.3
Explanation: 80 − 15 + 15 × 66 ÷ 6
= 80 ÷ 15 − 15 + 66 × 6 = 386.3
Ans: D
28. If ÷ means ×, × means +, + means − and − means ÷, find the value of 480 + 308 − 22 ÷ 11 × 47
A) 388 B) 391 C) 390 D) 373
Explanation: 480 + 308 − 22 ÷ 11 × 47
= 480 − 308 ÷ 22 × 11 + 47 = 373
Ans: D
29. If ÷ means ×, × means +, + means − and − means ÷, find the value of 102 ÷ 3 × 89 + 256 − 16
A) 525 B) 379 C) 630 D) 696
Explanation: 102 ÷ 3 × 89 + 256 − 16
= 102 × 3 + 89 − 256 ÷ 16 = 379
Ans: B
30. If ! means +, @ means − , # means × and & means ÷, then what is the value of 432 & 54 # 10 ! 83 @ 40
A) 136 B) 140 C) 123 D) 159
Explanation: 432 & 54 # 10 ! 83 @ 40
= 432 ÷ 54 × 10 + 83 − 40 = 123
Ans: C
Previous Asked Questions
1. If + stands for division, × stands for addition, − stands for multiplication, ÷ stands for subtraction, which of the following is correct?
A) 46 × 6 ÷ 4 − 5 + 3 = 74 B) 46 − 6 + 4 × 5 ÷ 3 = 71
C) 46 ÷ 6 × 4 − 5 + 3 = 75.5 D) 46 × 6 − 4 + 5 ÷ 3 = 75.5
Explanation: Considering option (B), we get
= 46 × 6 ÷ 4 + 5 − 3 = 71
Ans: B
2. If + = ×, − = ÷, × = +, ÷ = − then which is the correct equation out of the following?
A) 18 + 6 − 4 × 2 ÷ 3 = 26 B) 18 ÷ 6 + 4 − 2 ÷ 3 = 22
C) 18 − 6 × 7 ÷ 2 + 8 = 63 D) 18 × 6 − 4 + 7 × 8 = 47
Explanation: Considering option (A), we get
= 18 × 6 ÷ 4 + 2 − 3 = 26
Ans: A
3. Select the correct combination of mathematical signs to replace ∗ signs and to balance the following equation. (8 ∗ 7 ∗ 6) 5 ∗ 10
A) ×, −, ÷, = B) −, ×, ÷, + C) +, −, ÷, × D) ×, +, =, ÷
Explanation: Replacing ‘∗’ sign with the mathematical sign of option (A), we get
(8 × 7 − 6) ÷ 5 = 10 ⇒ (56 − 6) ÷ 5
= 10 50 ÷ 5 = 10
Ans: A
