**1.If ‘–’ stands for ‘division’, ‘+’ for ‘multiplications’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’, then which one of the following equations is correct?**

**A.4 × 5 + 9 – 3 ÷ 4 = 15**

B.4 × 5 × 9 + 3 ÷ 4 = 11

C.4 – 5 ÷ 9 × 3 – 4 = 17

D.4 ÷ 5 + 9 – 3 + 4 = 18

**Using the proper notations in (a), we get the statement as:**

**4 + 5 × 9 ÷ 3 – 4 = 4 + 5 × 3 – 4 = 4 + 15 – 4 = 15.**

**2. If ‘+’ stands for ‘division’, ‘÷’ stands for ‘multiplication’, ‘×’ stands for ‘subtraction’ and ‘–’ stands for ‘addition’, which one of the following is correct?**

A.18 ÷ 6 × 7 + 5 – 2 = 22

B.18 × 6 + 7 ÷ 5 – 2 = 16

C.18 ÷ 6 – 7 + 5 × 2 = 20

**D.18 + 6 ÷ 7 × 5 – 2 = 18**

**Using the proper notations in (d), we get the statement as:**

**18 ÷ 6 × 7 – 5 + 2 = 3 × 7 – 5 + 2 = 21 – 5 + 2 = 18.**

**3.If ‘–’ stands for ‘division’, ‘+’ for ‘multiplication’, ‘÷’ for ‘subtraction’ and ‘×’ for ‘addition’ which one of the following equation is correct?**

A.6 + 20 – 12 ÷ 7 – 1 = 38

B.6 – 20 ÷ 12 × 7 + 1 = 57

C.6 + 20 – 12 ÷ 7 × 1 = 62

**D.6 ÷ 20 × 12 + 7 – 1 = 70**

**Using the proper notations in (d), we get the statement as:**

**6 – 20 + 12 × 7 ÷ 1 = 6 – 20 + 84 = 90 – 20 = 70.**

**4. If → stands for ‘addition’, ← stands for ‘subtractions’, ↑ stands for ‘division’, ↓ stands for ‘multiplication’, ↗ stands for ‘equal to’, then which of the following alternatives is correct?**

A.7 ← 43 ↑ 6 ↓ 1 ↗ 4

B.3 ↓ 6 ↑ 2 → 3 ← 6 ↗ 5

C.5 → 7 ← 3 ↑ 2 ↗ 4

**D.2 ↓ 5 ← 6 → 2 ↗ 6**

**Using the proper notations in (d), we get the statement as:**

**2 × 5 – 6 + 2 = 6 or**

**10 – 6 + 2 = 6 or 6 = 6, which is true.**

**5. If – means ÷, + means ×, ÷ means –, × means +, which of the following equations is correct?**

**A.52 ÷ 4 + 5 × 8 – 2 = 36**

B.43 × 7 ÷ 5 + 4 – 8 = 25

C.36 × 4 – 12 + 5 ÷ 3 = 420

D.36 – 12 × 6 ÷ 3 + 4 = 60

**Using the proper notations in (a), we get the statement as:**

**52 – 4 × 5 + 8 ÷ 2 = 52 – 4 × 5 + 4 = 52 – 20 + 4 = 56 – 20 = 36.**

**6. If P denotes +, Q denotes –, R denotes × and S denotes ÷, which of the following statements is correct?**

A.36 R 4 S 8 Q 7 P 4 = 10

B.16 R 12 P 49 S 7 Q 9 = 200

C.32 S 8 R 9 = 160 Q 12 R 12

**D.8 R 8 P 8 S 8 Q 8 = 57**

**Using the proper notations in (d), we get the statement as:**

**8 ×8 + 8 ÷ 8 – 8 = 8 × 8 + 1 – 8 = 64 + 1 – 8 = 65 – 8 = 57.**

**7. If L denotes ÷, M denotes ×, P denotes + and Q denotes –, then which of the following statements is true?**

A.32 P 8 L 16 Q 4 =-3/2

B.6 M 18 Q 26 L 13 P 7 =173/13

C.11 M 34 L 17 Q 8 L 3 =38/3

**D.9 P 9 L 9 Q 9 M 9 = – 71**

**Using the proper notations in (d), we get the statement as:**

**9 + 9 ÷ 9 – 9 ×9 = 9 + 1 – 9 ×9 = 9 + 1 – 81 = 10 – 81 = – 71**

**8. If ‘×’ stands for ‘addition’, ‘<’ for ‘subtraction’, ‘+’ for ‘division’, ‘>’ for ‘multiplication’, ‘–’ for ‘equal to’, ‘÷’ for greater than and ‘=’ for ‘less than’, then state which of the following is true?**

A.3 × 4 > 2 – 9 + 3 < 3

B.5 × 3 < 7 ÷ 8 + 4 × 1

**C.5 > 2 + 2 = 10 < 4 × 8**

D.3 × 2 < 4 ÷ 16 > 2 + 4

**Using the proper notations in (c), we get the statement as:**

**5 × 2 ÷ 2 < 10 – 4 + 8 or**

**5 × 1 < 18 – 4 or**

**5 < 14, which is true.**

**9. If ‘÷’ stands for ‘greater than’, ‘×’ stands for ‘addition’, ‘+’ stands for ‘division’, ‘–’ stands for ‘equal to’, ‘>’ stands for ‘multiplication’, ‘=’ stands for ‘less than’ and ‘<’ stands for ‘minus’, then which of the following alternatives is correct?**

A.5 > 2 < 1 – 3 × 4 × 1

B.5 < 2 × 1 + 3 > 4 × 1

**C.5 > 2 × 1 – 3 > 4 < 1**

D.5 + 2 × 1 = 3 + 4 > 1

**Using the proper notations in (c), we get the statement as:**

**5 × 2 + 1 = 3 × 4 – 1 or**

**10 + 1 = 12 – 1 or 11 = 11, which is true.**

**10. If ‘÷’ implies =, × implies <, + implies >, – implies ×, > implies ÷, < implies +, = implies –, identify the correct expression.**

A.1 – 3 > 2 +1 – 5 = 3 – 1 < 2

B.1 – 3 > 2 + 1 × 5 = 3 × 1 > 2

C.1 × 3 > 2 + 1 × 5 × 3 – 1 > 2

**D.1 – 3 > 2 + 1 × 5 + 3 – 1 > 2**

**Using the proper notations in (d), we get the statement as:**

**1 × 3 ÷ 2 > 1 < 5 > 3 × 1 ÷ 2 or**

**3/2>1<5>3/2 , which is true.**