# Mathematical Operations - 3

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

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

Posted Date : 27-01-2023

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