MCQ
Numerical: Simplification & BODMAS MCQ - Practice Questions with Answers
Solve 16 Numerical: Simplification & BODMAS questions for RAS/RPSC preparation.
Practice questions
Q1Match each expression with its correct value. P. 9 + 6 × 4 − 12 ÷ 3; Q. (9 + 6) × 4 − 12 ÷ 3; R. 9 + 6 × (4 − 12 ÷ 3)
Solve each expression using BODMAS. For P, do multiplication and division before addition and subtraction: 9 + 6 × 4 − 12 ÷ 3 = 9 + 24 − 4 = 29. For Q, first solve the bracket: (9 + 6) = 15. Then 15 × 4 − 12 ÷ 3 = 60 − 4 = 56. For R, solve the bracket carefully: 12 ÷ 3 = 4, so (4 − 4) = 0. Therefore, R = 9 + 6 × 0 = 9. The matching is P=29, Q=56, R=9.
Q2Simplify: 84 − [36 ÷ 3 × 2 + {18 − (5 × 2)}]
Follow the order of brackets from inside to outside. In 84 − [36 ÷ 3 × 2 + {18 − (5 × 2)}], first solve (5 × 2) = 10. So {18 − 10} = 8. In the square bracket, division and multiplication go from left to right: 36 ÷ 3 = 12, and 12 × 2 = 24. The square bracket becomes 24 + 8 = 32. Now subtract it from 84: 84 − 32 = 52. Hence, the answer is 52.
Q3Simplify: 8 + 12 ÷ 4 × 3 − 5
Apply BODMAS: division and multiplication are done before addition and subtraction, and operations of the same priority are taken from left to right. In 8 + 12 ÷ 4 × 3 − 5, first compute 12 ÷ 4 = 3. Then multiply 3 × 3 = 9. Now the expression becomes 8 + 9 − 5. Finally, work left to right: 8 + 9 = 17 and 17 − 5 = 12. Therefore, the simplified value is 12.
Q4Which one of the following statements is incorrect according to BODMAS?
To find the incorrect statement, solve each expression by BODMAS. Options A, B and C match their stated values: 60 ÷ 10 × 2 = 12, 18 + 24 − 4 = 38, and 30 + 14 = 44. For option D, solve the bracket first: 9 − 4 = 5. Then multiply 8 × 5 = 40. Now subtract: 56 − 40 = 16. The stated value is 24, so option D is the incorrect statement.
Q5Simplify: 48 ÷ 6 × (7 + 5) − 18
Use BODMAS: solve brackets first, then division and multiplication from left to right, and finally subtraction. The given expression is 48 ÷ 6 × (7 + 5) − 18. First, (7 + 5) = 12. Now the expression becomes 48 ÷ 6 × 12 − 18. Division and multiplication have the same priority, so move left to right: 48 ÷ 6 = 8, and 8 × 12 = 96. Finally, 96 − 18 = 78. Therefore, the correct answer is 78.
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More questions
6Which one of the following statements is correct according to BODMAS?
7Which of the following statements is incorrect? 1. 50 − 5 × 6 + 12 ÷ 3 = 24; 2. (50 − 5) × 6 + 12 ÷ 3 = 266; 3. 50 − 5 × (6 + 12) ÷ 3 = 20
8Assertion: The value of 120 − 6 × 8 + 36 ÷ 9 is 76. Reason: In BODMAS, multiplication and division are done before addition and subtraction, so 120 − 48 + 4 = 76.
9The value of 1028√16 + 25% of 512 - 4/5 of 75 is:
10Match the expressions with their correct values. P. 40 ÷ 5 + 6 × 3 Q. (40 ÷ 5 + 6) × 3 R. 40 ÷ (5 + 5) + 6 × 3
11Find the value of 72 ÷ 8 + 6 × (5 + 3).
12Match each expression with its correct value: 1: 36 ÷ 6 + 4 × 3; 2: (25 − 5) × 2 ÷ 4; 3: 7 + 42 ÷ 7 × 2 − 3; 4: 80 − 6 × 8 + 12 ÷ 3.
13For the expression 120 ÷ (6 + 4) × 3 − 8, consider the following statements. 1. Its correct value is 28. 2. If the bracket is ignored but BODMAS is otherwise followed, the value becomes 24. 3. The step 120 ÷ (10 × 3) − 8 is valid because multiplication must be done before division. Which statements are correct?
14For E = 96 ÷ 12 + 4 × 7 − 9, which statement is incorrect? 1. The value of E is 27. 2. If the expression is solved strictly from left to right, the result becomes 75. 3. Multiplication has higher priority than division, so 4 × 7 must be solved before 96 ÷ 12.
15Which option gives the correct value of 5² + 36 ÷ 6 × 2 − 7?