Question 1

Simplify: 48 ÷ 6 + 12 × 2 − 5

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 48 ÷ 6 = 8 and 12 × 2 = 24. Step 2: Substitute: 8 + 24 − 5. Step 3: Addition and Subtraction (left to right): 8 + 24 = 32, then 32 − 5 = 27. Therefore, the answer is 27.

Question 2

Simplify: 18 + 4 × 5 – 10 ÷ 2

Accepted Answer

Step 1: Apply BODMAS — Division first: 10 ÷ 2 = 5. Step 2: Multiplication: 4 × 5 = 20. Step 3: Now solve left to right: 18 + 20 – 5 = 33. Therefore, answer is 33.

Question 3

Simplify: 144 ÷ 12 + 8 × 3 − 5 + 2 × 6 ÷ 3

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 144 ÷ 12 = 12, 8 × 3 = 24, 2 × 6 = 12, then 12 ÷ 3 = 4. Step 2: Rewrite as 12 + 24 − 5 + 4. Step 3: Apply Addition and Subtraction (left to right): 12 + 24 = 36, 36 − 5 = 31, 31 + 4 = 35. Therefore, answer is 35.

Question 4

Simplify: 144 ÷ 12 + 8 × 3 − 5 + 2³ ÷ 4 × 6 − 10

Accepted Answer

Step 1: Apply BODMAS — Brackets, Orders (exponents), Division/Multiplication (left to right), Addition/Subtraction (left to right). Step 2: Solve exponents first: 2³ = 8. Expression becomes: 144 ÷ 12 + 8 × 3 − 5 + 8 ÷ 4 × 6 − 10. Step 3: Perform division and multiplication left to right: 144 ÷ 12 = 12, 8 × 3 = 24, 8 ÷ 4 = 2, 2 × 6 = 12. Expression becomes: 12 + 24 − 5 + 12 − 10. Step 4: Perform addition and subtraction left to right: 12 + 24 = 36, 36 − 5 = 31, 31 + 12 = 43, 43 − 10 = 33. Therefore, the answer is 33.

Question 5

Simplify: 18 + 6 × 4 − 12 ÷ 3

Accepted Answer

Step 1: Apply Division first → 12 ÷ 3 = 4. Step 2: Apply Multiplication → 6 × 4 = 24. Step 3: Now solve left to right → 18 + 24 − 4 = 38. Therefore, answer is 38.

Question 6

Evaluate: 72 ÷ 8 + 6 × 3 − 4

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first. 72 ÷ 8 = 9 and 6 × 3 = 18. Step 2: Now we have 9 + 18 − 4. Step 3: Addition and Subtraction (left to right): 9 + 18 = 27, then 27 − 4 = 23. Therefore, answer is 23.

Question 7

Simplify: 2 + 3 × 4 − 6 ÷ 2

Accepted Answer

Step 1: Apply BODMAS — Multiplication and Division first (left to right). 3 × 4 = 12 and 6 ÷ 2 = 3. Step 2: Now we have 2 + 12 − 3. Step 3: Addition and Subtraction (left to right): 2 + 12 = 14, then 14 − 3 = 11. Therefore, answer is 11.

Question 8

Simplify: 50 − 10 × 2 + 8 ÷ 4

Accepted Answer

Step 1: Apply BODMAS — Multiplication and Division first. 10 × 2 = 20 and 8 ÷ 4 = 2. Step 2: Now we have 50 − 20 + 2. Step 3: Subtraction and Addition (left to right): 50 − 20 = 30, then 30 + 2 = 32. Therefore, answer is 32.

Question 9

Simplify: 48 ÷ 6 + 12 × 2 − 5

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 48 ÷ 6 = 8 and 12 × 2 = 24. Step 2: Now we have 8 + 24 − 5. Step 3: Addition and Subtraction (left to right): 8 + 24 = 32, then 32 − 5 = 27. Therefore, the answer is 27.

Question 10

Calculate: 60 ÷ 5 × 2 + 18 − 6

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 60 ÷ 5 = 12, then 12 × 2 = 24. Step 2: Expression becomes 24 + 18 − 6. Step 3: Addition and Subtraction (left to right): 24 + 18 = 42, then 42 − 6 = 36.

Question 11

Simplify: 36 + 12 ÷ 3 − 8 × 2

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 12 ÷ 3 = 4 and 8 × 2 = 16. Step 2: Expression becomes 36 + 4 − 16. Step 3: Addition and Subtraction (left to right): 36 + 4 = 40, then 40 − 16 = 24.

Question 12

Evaluate: 60 ÷ 5 + 7 × 3 − 9

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 60 ÷ 5 = 12 and 7 × 3 = 21. Step 2: Now we have 12 + 21 − 9. Step 3: Addition and Subtraction (left to right): 12 + 21 = 33, then 33 − 9 = 24.

Question 13

Calculate: 36 ÷ 3 × 2 + 10 − 8

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 36 ÷ 3 = 12, then 12 × 2 = 24. Step 2: Now we have 24 + 10 − 8. Step 3: Addition and Subtraction (left to right): 24 + 10 = 34, then 34 − 8 = 26.

Question 14

Simplify: 72 ÷ 8 × 2 + 10 − 6

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 72 ÷ 8 = 9, then 9 × 2 = 18. Step 2: Substitute back: 18 + 10 − 6. Step 3: Perform Addition and Subtraction (left to right): 18 + 10 = 28, then 28 − 6 = 22. Therefore, the answer is 22.

Question 15

Simplify: 48 ÷ 6 + 8 × 3 − 5

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 48 ÷ 6 = 8 and 8 × 3 = 24. Step 2: Now we have 8 + 24 − 5. Step 3: Addition and Subtraction (left to right): 8 + 24 = 32, then 32 − 5 = 27. Therefore, the answer is 27.

Question 16

Simplify: 48 ÷ 6 + 8 × 2 − 5

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 48 ÷ 6 = 8 and 8 × 2 = 16. Step 2: Now we have 8 + 16 − 5. Step 3: Addition and Subtraction (left to right): 8 + 16 = 24, then 24 − 5 = 19. Therefore, answer is 19.

Question 17

Solve: 5 × 6 − 8 ÷ 2 + 4

Accepted Answer

Step 1: Apply BODMAS — Multiplication and Division first (left to right). 5 × 6 = 30 and 8 ÷ 2 = 4. Step 2: Now we have 30 − 4 + 4. Step 3: Subtraction and Addition (left to right): 30 − 4 = 26, then 26 + 4 = 30.

Question 18

Simplify: 2 + 8 × 3 − 12 ÷ 4

Accepted Answer

Step 1: Apply BODMAS — Multiplication and Division first (left to right). 8 × 3 = 24 and 12 ÷ 4 = 3. Step 2: Now we have 2 + 24 − 3. Step 3: Addition and Subtraction (left to right): 2 + 24 = 26, then 26 − 3 = 23.

Question 19

Evaluate: 100 − 20 ÷ 4 + 3 × 5

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first. 20 ÷ 4 = 5 and 3 × 5 = 15. Step 2: Now we have 100 − 5 + 15. Step 3: Subtraction and Addition (left to right): 100 − 5 = 95, then 95 + 15 = 110.

Question 20

Calculate: 36 ÷ 6 × 2 + 5 − 3

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first (left to right). 36 ÷ 6 = 6, then 6 × 2 = 12. Step 2: Now we have 12 + 5 − 3. Step 3: Addition and Subtraction (left to right): 12 + 5 = 17, then 17 − 3 = 14. Therefore, answer is 14.

Question 21

Evaluate: 5 + 3 × 8 − 12 ÷ 4 + 2

Accepted Answer

Step 1: Apply BODMAS — Multiplication and Division first (left to right). 3 × 8 = 24 and 12 ÷ 4 = 3. Step 2: Substitute back: 5 + 24 − 3 + 2. Step 3: Perform Addition and Subtraction (left to right): 5 + 24 = 29, then 29 − 3 = 26, then 26 + 2 = 28. Therefore, the answer is 28.

Question 22

Evaluate: 100 − 20 ÷ 4 + 3 × 5

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication first. 20 ÷ 4 = 5 and 3 × 5 = 15. Step 2: Now we have 100 − 5 + 15. Step 3: Subtraction and Addition (left to right): 100 − 5 = 95, then 95 + 15 = 110. Therefore, answer is 110.

Question 23

What is the value of 100 − 20 × 3 + 15 ÷ 5?

Accepted Answer

Step 1: Apply BODMAS — Multiplication and Division first (left to right). 20 × 3 = 60 and 15 ÷ 5 = 3. Step 2: Substitute back: 100 − 60 + 3. Step 3: Perform Subtraction and Addition (left to right): 100 − 60 = 40, then 40 + 3 = 43. Therefore, the answer is 43.

Question 24

Simplify: 36 + 12 ÷ 4 × 2 − 9

Accepted Answer

Step 1: Apply BODMAS — Division and Multiplication (left to right). 12 ÷ 4 = 3, then 3 × 2 = 6. Step 2: Rewrite as 36 + 6 − 9. Step 3: Addition and Subtraction (left to right): 36 + 6 = 42, 42 − 9 = 33. Therefore, answer is 33.

Agniveer (All) BODMAS

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