# Mathematical Operations - 2

Directions (QDirections (Qs. 1 - 5): Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.s. 1 - 5): Select the correct combination of mathematical signs that can sequentially replace the * signs and balance the given equation.

1. 90 * 15 * 60 * 15 * 20 = 355

A) ×, +, −, ÷       B) ×, ÷, +, −        C) ÷, ×, +, −      D) ÷, ×, −, +

Explanation: 90 ÷ 15 × 60 + 15 − 20 = 355

Ans: C

2. 100 * 306 * 18 * 5 * 10 = 175

A) +, ÷, ×, −      B) ×, +, −, ÷     C) ×, ÷, +, −       D) ÷, +, −, ×

Explanation: 100 + 306 ÷ 18 × 5 − 10 = 175

Ans: A

3. 220 * 102 * 195 * 26 * 20 = 268

A) ×, −, +, ÷      B) −, +, ÷, ×       C) +, ÷, ×, −        D) +, −, ÷, ×

Explanation: 220 − 102 + 195 ÷ 26 × 20 = 268

Ans: B

4. 64 * 41 * 217 * 31 * 12 = 21

A) +, ÷, ×, −        B) ×, −, +, ÷     C) +, −, ×, ÷        D) +, −, ÷, ×

Explanation: 64 + 41 − 217 ÷ 31 × 12 = 21

Ans: D

5. 506 * 22 * 14 * 10 * 200 = 83

A) ×, −, +, ÷         B) ÷, ×, +, −       C) ÷, −, ×, +      D) +, −, ÷, ×

Explanation: 506 ÷ 22 − 14 × 10 + 200 = 83

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. 315 ÷ 45 × 20 − 100 + 89 = 151

A) −, ÷       B) −, +     C) ÷ , ×       D) −, ×

Explanation: 315 ÷ 45 × 20 + 100 − 89 = 151

Ans: B

8. 80 × 135 − 15 + 80 ÷ 125 = 675

A) −, ×         B) +, −        C) −, ÷      D) ÷, ×

Explanation: 80 × 135 ÷ 15 + 80 − 125 = 675

Ans: C

9. (109 + 63) − 26 × 217 ÷ 14 = 449

A) −, ×      B) −, ÷      C) ÷, ×         D) +, −

Explanation: (109 − 63) + 26 × 217 ÷ 14 = 449

Ans: D

10. (40 − 35) ÷ 28 + 107 × 55 = 102

A) ÷, ×         B) −, ×       C) +, −      D) +, ×

Explanation: (40 × 35) ÷ 28 + 107 − 55 = 102

Ans: B

11. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 300 > 129 ∗ 33 # 11 & 122

A) 240       B) 350         C) 166       D) 221

Explanation: 300 > 129 ∗ 33 # 11 & 122

= 300 + 129 ÷ 33 × 11 − 122 = 221

Ans: D

12. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 8 # 52 & 43 > 84 ∗ 6

A) 387        B) 446      C) 404       D) 434

Explanation: 8 # 52 & 43 > 84 ∗ 6

= 8 × 52 − 43 + 84 ÷ 6 = 387

Ans: A

13. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 60 > 15 # 153 ∗ 27 & 27

A) 140         B) 144        C) 118       D) 133

Explanation: 60 > 15 # 153 ∗ 27 & 27

= 60 + 15 × 153 ÷ 27 − 27 = 118

Ans: C

14. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 306 ∗ 18 # 5 > 70 & 50

A) 145       B) 105       C) 154      D) 231

Explanation: 306 ∗ 18 # 5 > 70 & 50

= 306 ÷ 18 × 5 + 70 − 50 = 105

Ans: B

15. If ‘&’ means ‘minus’, ‘>’ means ‘plus’, ‘#’ means ‘multiplied by’ and ‘∗’ means ‘divided by’ then what would be the value of 58 # 450 ∗ 15 & 122 > 60

A) 1480       B) 1130       C) 1678       D) 1051

Explanation: 58 # 450 ∗ 15& 122 > 60

= 58 × 450 ÷ 15 − 122 + 60 = 1678

Ans: C

16. Select the correct combination of mathematical signs to replace  signs and to balance the following equation: 350 ∗ 124 ∗ 936 ∗ 18 = 278

A) ÷, ×, −       B) +, ÷, −       C) −, +, ÷      D) ×, −, +

Explanation: 350 − 124 + 936 ÷ 18 = 278

Ans: C

17. Select the correct combination of mathematical signs to replace  signs and to balance the following equation: 116 ∗ 290 ∗ 58 ∗ 11 = 171

A) −, +, ÷       B) +, ÷, ×      C) ÷, ×, +       D) −, +, ×

Explanation: 116 + 290 ÷ 58 × 11 = 171

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:3456 ∗ 93 ∗ 15 ∗ 36 = 3009

A) +, ×, ÷ B) +, ×, − C) ×, ÷, + D) +, −, ×

Explanation: 3456 + 93 − 15 × 36 = 3009

Ans: D

20. Select the correct combination of mathematical signs to replace  signs and to balnce the following equation: 396 ÷ 18 × 30 + 16 = 676

A) −, ×, +      B) +, ×, ÷        C) ÷, ×, +       D) ÷, +, −

Explanation: 396 ÷ 18 × 30 + 16 = 676

Ans: C

21. Which interchange of signs will make the following equation correct? 102 × 102 ÷ 102 − 102 + 102 = 102

A) + and ÷        B) + and −      C) − and ×       D) No change required

Explanation: 102 × 102 ÷ 102 − 102 + 102 = 102

Ans: D

22. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 40 ÷ 21 − 162 + 9

A) 358       B) 240      C) 402      D) 858

Explanation: 40 ÷ 21 − 162 + 9 = 40 × 21 + 162 ÷ 9 = 858

Ans: D

23. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 4 ÷ 23 − 189 + 9 × 12

A) 193       B) 101       C) 300      D) 150

Explanation: 4 ÷ 23 − 189 + 9 × 12 = 4 × 23 + 189 ÷ 9 − 12 = 101

Ans: B

24. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 126 + 36 ÷ 44 × 19 − 75

A) 210        B) 156       C) 146      D) 166

Explanation: 126 + 36 ÷ 44 × 19 − 75 = 126 ÷ 36 × 44 − 19 + 75 = 210

Ans: A

25. If ‘+’ means ‘divided by’, ‘−’ means ‘added to’, ‘×’ means ‘subtracted from’ and ‘÷’ means ‘multiplied by’, then what is the value of 900 + 36 ÷ 47 × 100 − 53

A) 1128       B) 1843       C) 1933      D) 1837

Explanation: 900 + 36 ÷ 47 × 100 − 53 = 900 ÷ 36 × 47 − 100 + 53 = 1128

Ans: A

26. If ÷ means ×, × means +, + means − and − means ÷, then find the value of 58 × 26 + 108 − 27 ÷ 30

A) −15       B) −36       C) 20     D) 44

Explanation: 58 × 26 + 108 − 27 ÷ 30 = 58 + 26 − 108 ÷ 27 × 30 = −36

Ans: B

27. If ÷ means ×, × means +, + means − and − means ÷, then find the value of 63 − 18 + 25 × 36 ÷ 8

A) 160.2        B) 255.6       C) 164.5       D) 266.5

Explanation: 63 − 18 + 25 × 36 ÷ 8 = 63 ÷ 18 − 25 + 36 × 8 = 266.5

Ans: D

28. If ÷ means ×, × means +, + means − and − means ÷, then find the value of 450 + 264 − 12 ÷ 10 × 45

A) 388       B) 391       C) 390      D) 275

Explanation: 450 + 264 − 12 ÷ 10 × 45 = 450 − 264 ÷ 12 × 10 + 45 = 275

Ans: D

29. If ÷ means ×, × means +, + means − and − means ÷, then find the value of 112 ÷ 3 × 83 + 320 − 16

A) 525       B) 399      C) 630      D) 696

Explanation: 112 ÷ 3 × 83 + 320 − 16 = 112 × 3 + 83 − 320 ÷ 16 = 399

Ans: B

30. If ! means +, @ means − , # means × and & means ÷, then what is the value of 150 & 45 # 30 ! 63 @ 34

A) 136       B) 140      C) 129       D) 159

Explanation: 150 & 45 # 30 ! 63 @ 34 = 150 ÷ 45 × 30 + 63 − 34 = 129

Ans: C

1. If '' means 'plus', '=' means 'multiplied by' and ‘\$’ means 'divided' by', then what would be the value of 27 > 81 \$ 9 < 6?

A) 30         B) 33        C) 36       D) 54

Explanation: Using the correct symbols, we have:

Given expression = 27 + 81 ÷ 9 − 6

= 27 + 9 − 6 = 36 − 6 = 30

Ans: A

2. If '+' means 'divided by', '−' means 'added to', ‘×’ means ‘subtracted from’ and ‘÷’ means 'multiplied by', then what is the value of 24 ÷ 12 − 18 + 9?

A) −25        B) 0.72     C) 15.30      D) 290

Explanation: Using the correct symbols, we have:

Given expression = 24 × 12 + 18 ÷ 9 = 288 + 2 = 290

Ans: D

3. If \$ means +, # means −, @ means × and ∗ means ÷, then what is the value of 16 \$ 4 @ 5 # 72 ∗ 8?

A) 25      B) 27     C) 29      D) 36

Explanation: Using the correct symbols, we have:

Given expression = 16 + 4 × 5 − 72 ÷ 8

= 16 + 20 − 9 = 36 − 9 = 27

Ans: B

4. If ÷ means ×, × means +, + means − and − means ÷, find the value of 16 × 3 + 5 − 2 ÷ 4.

A) 9 B) 27 C) 19 D) None of these

Explanation: Using the correct symbols, we have:

Given = 16 + 3 − 5 ÷ 2 × 4 = 16 + 3

5 / 2 × 4 = 19 − 10 = 9 2

Ans: A

5. If + means ÷, ÷ means −, − means ×, × means +, then 12 + 6 ÷ 3 − 2 × 8 = ?

A) −2        B) 2        C) 4        D) 52

Explanation: Using the correct symbols ,we have:

Given = 12 ÷ 6 − 3 × 2 + 8

= 2 − 6 + 8 = 10 − 6 = 4

Ans: C

Posted Date : 06-01-2023

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