Simplification Techniques for Competitive Exam Success

My Learning Cart

Simplification

Download Q&A

Simplification MCQ & Objective Questions

Simplification is a crucial topic in mathematics that plays a significant role in various exams. Mastering simplification can enhance your problem-solving speed and accuracy, making it easier to tackle complex questions. Practicing MCQs and objective questions on simplification helps students identify important concepts and improves their exam preparation, ultimately leading to better scores.

What You Will Practise Here

Basic operations: Addition, subtraction, multiplication, and division
Order of operations: BODMAS/BIDMAS rules
Fractions and decimals: Simplifying complex fractions
Algebraic expressions: Simplifying polynomials and rational expressions
Exponents and roots: Understanding powers and square roots
Common factors and multiples: Finding GCD and LCM
Word problems: Applying simplification in real-life scenarios

Exam Relevance

Simplification is a fundamental topic that frequently appears in CBSE, State Boards, NEET, and JEE exams. Students can expect to encounter various question patterns, including direct MCQs, fill-in-the-blanks, and application-based problems. Understanding simplification not only helps in mathematics but also aids in logical reasoning sections of competitive exams.

Common Mistakes Students Make

Ignoring the order of operations, leading to incorrect answers
Misunderstanding the simplification of fractions and decimals
Confusing algebraic terms and making errors in polynomial simplification
Overlooking negative signs during calculations
Failing to apply simplification techniques in word problems

FAQs

Question: What are some effective strategies for mastering simplification?
Answer: Regular practice with MCQs, understanding the underlying concepts, and reviewing mistakes can significantly improve your skills in simplification.

Question: How can I use simplification in competitive exams?
Answer: Simplification helps you solve problems quickly, allowing you to manage your time effectively during exams.

Start solving practice MCQs on simplification today to test your understanding and boost your confidence for upcoming exams. Remember, consistent practice is the key to success!

BODMAS, Surds & Indices

Q. Calculate 45 ÷ 5 + 6 × 2.

A. 12
B. 18
C. 15
D. 10

Solution

45 ÷ 5 = 9; 6 × 2 = 12; 9 + 12 = 21.

Correct Answer: B — 18

Q. Calculate: (10 + 5) × 2 - 8.

A. 22
B. 20
C. 18
D. 24

Solution

First, calculate inside the parentheses: 10 + 5 = 15. Then, 15 × 2 = 30. Finally, 30 - 8 = 22.

Correct Answer: A — 22

Q. Calculate: (15 - 5) × 2 + 10.

A. 20
B. 25
C. 30
D. 35

Solution

15 - 5 = 10; 10 × 2 = 20; 20 + 10 = 30.

Correct Answer: B — 25

Q. Calculate: (5 + 3) × (2^2 - 1)

A. 32
B. 24
C. 16
D. 20

Solution

First, calculate inside the parentheses: 2^2 - 1 = 3. Then, (5 + 3) = 8. Finally, 8 × 3 = 24.

Correct Answer: B — 24

Q. Calculate: (8 + 4) × 2 - 10 ÷ 2.

A. 20
B. 22
C. 18
D. 16

Solution

First, calculate inside the parentheses: 8 + 4 = 12. Then, 12 × 2 - 10 ÷ 2 = 24 - 5 = 19.

Correct Answer: B — 22

Q. Calculate: 144 ÷ (12 - 8) + 6.

A. 36
B. 30
C. 24
D. 18

Solution

12 - 8 = 4; 144 ÷ 4 = 36; 36 + 6 = 42.

Correct Answer: A — 36

Q. Calculate: 20 + 3 × (4 - 2)

A. 22
B. 24
C. 26
D. 20

Solution

First, calculate (4 - 2) = 2. Now, 3 × 2 = 6. Finally, 20 + 6 = 26.

Correct Answer: A — 22

Q. Calculate: 20 - 4 × (2 + 1).

A. 8
B. 12
C. 16
D. 10

Solution

First, calculate inside the parentheses: 2 + 1 = 3. Then, 4 × 3 = 12. Finally, 20 - 12 = 8.

Correct Answer: B — 12

Q. Calculate: 2^3 + 3^2 - 4 × 2

A. 6
B. 8
C. 10
D. 12

Solution

First, calculate the powers: 2^3 = 8 and 3^2 = 9. Then, perform the multiplication: 4 × 2 = 8. Finally, add and subtract: 8 + 9 - 8 = 9.

Correct Answer: B — 8

Q. Calculate: 3 + 5 × 2 - 4 ÷ 2

A. 6
B. 8
C. 10
D. 4

Solution

According to BODMAS, first calculate multiplication and division: 5 × 2 = 10 and 4 ÷ 2 = 2. Then, perform addition and subtraction: 3 + 10 - 2 = 11.

Correct Answer: B — 8

Q. Calculate: 3 × (4 + 2) - 5.

A. 15
B. 10
C. 12
D. 18

Solution

4 + 2 = 6; 3 × 6 = 18; 18 - 5 = 13.

Correct Answer: A — 15

Q. Calculate: 50 - (6 × 5) + 3

A. 23
B. 20
C. 25
D. 22

Solution

First, calculate 6 × 5 = 30. Now, 50 - 30 + 3 = 20 + 3 = 23.

Correct Answer: B — 20

Q. Calculate: 6 + 2 × (5 - 3)^2

A. 8
B. 10
C. 12
D. 14

Solution

First, solve inside the parentheses: 5 - 3 = 2. Then, calculate the exponent: 2^2 = 4. Next, multiply: 2 × 4 = 8. Finally, add: 6 + 8 = 14.

Correct Answer: B — 10

Q. Calculate: 7 - 2 × (3 + 1)

A. 3
B. 1
C. 5
D. 7

Solution

First, calculate inside the parentheses: 3 + 1 = 4. Then, 2 × 4 = 8. Finally, 7 - 8 = -1.

Correct Answer: C — 5

Q. Calculate: 8 × 3 - (6 ÷ 2) + 4.

A. 22
B. 20
C. 18
D. 24

Solution

First, calculate 6 ÷ 2 = 3. Then, 8 × 3 = 24. Finally, 24 - 3 + 4 = 25.

Correct Answer: B — 20

Q. Calculate: 9 × (2 + 3) - 4 × 3.

A. 33
B. 29
C. 25
D. 31

Solution

First, calculate inside the parentheses: 2 + 3 = 5. Then, 9 × 5 - 4 × 3 = 45 - 12 = 33.

Correct Answer: A — 33

Q. Calculate: √(16) + 3 × 2

A. 10
B. 8
C. 12
D. 14

Solution

First, calculate the square root: √(16) = 4. Then, perform the multiplication: 3 × 2 = 6. Finally, add: 4 + 6 = 10.

Correct Answer: A — 10

Q. Evaluate: (2 + 3) × (4 - 1) + 6 ÷ 2

A. 20
B. 22
C. 18
D. 16

Solution

First, calculate inside the parentheses: (2 + 3) = 5 and (4 - 1) = 3. Then multiply: 5 × 3 = 15. Finally, add: 15 + 6 ÷ 2 = 15 + 3 = 18.

Correct Answer: A — 20

Q. Evaluate: (√(25) + 3) × 2

A. 16
B. 18
C. 20
D. 22

Solution

First, calculate the square root: √(25) = 5. Then add: 5 + 3 = 8. Finally, multiply: 8 × 2 = 16.

Correct Answer: A — 16

Q. Evaluate: 2^3 + 3 × 4 - 5

A. 9
B. 11
C. 13
D. 15

Solution

Calculate the exponent: 2^3 = 8. Then, perform the multiplication: 3 × 4 = 12. Finally, add and subtract: 8 + 12 - 5 = 15.

Correct Answer: B — 11

Q. Evaluate: 2^4 ÷ 2^2

A. 2^2
B. 2^3
C. 2^4
D. 2^5

Solution

Using the property of indices, a^m ÷ a^n = a^(m-n). Here, 2^4 ÷ 2^2 = 2^(4-2) = 2^2.

Correct Answer: A — 2^2

Q. Evaluate: 2^4 ÷ 2^2 + 3 × 2

A. 10
B. 8
C. 6
D. 12

Solution

Using the laws of indices: 2^4 ÷ 2^2 = 2^(4-2) = 2^2 = 4. Then, 3 × 2 = 6. Finally, 4 + 6 = 10.

Correct Answer: A — 10

Q. Evaluate: 5 × (3 + 2^2) - 4

A. 21
B. 25
C. 17
D. 15

Solution

First, calculate inside the parentheses: 3 + 2^2 = 3 + 4 = 7. Then, 5 × 7 - 4 = 35 - 4 = 31.

Correct Answer: A — 21

Q. Evaluate: 6 - 2 × (3 + 1)

A. 2
B. 4
C. 6
D. 8

Solution

First, calculate inside the parentheses: 3 + 1 = 4. Then, 2 × 4 = 8. Finally, 6 - 8 = -2.

Correct Answer: B — 4

Q. Evaluate: √(16) + 3 × (2^2 - 1)

A. 10
B. 8
C. 6
D. 12

Solution

First, calculate the square root: √(16) = 4. Then, calculate inside the parentheses: 2^2 - 1 = 3. Finally, 3 × 3 = 9, so 4 + 9 = 13.

Correct Answer: A — 10

Q. Evaluate: √(16) + 3 × (2^2)

A. 10
B. 12
C. 14
D. 16

Solution

First, calculate the square root: √(16) = 4. Then calculate the exponent: 2^2 = 4. Finally, perform the addition: 4 + 3 × 4 = 4 + 12 = 16.

Correct Answer: B — 12

Q. If 5x = 45, what is the value of x?

A. 5
B. 6
C. 7
D. 8

Solution

5x = 45; x = 45 ÷ 5 = 9.

Correct Answer: B — 6

Q. If 5y - 10 = 0, what is the value of y?

A. 2
B. 3
C. 4
D. 5

Solution

5y = 10; y = 10 ÷ 5 = 2.

Correct Answer: A — 2

Q. If x = 2, evaluate: 3x^2 + 4x - 5

A. 5
B. 7
C. 9
D. 11

Solution

Substituting x = 2: 3(2^2) + 4(2) - 5 = 3(4) + 8 - 5 = 12 + 8 - 5 = 15.

Correct Answer: C — 9

Q. If x = 2, what is the value of 3x² + 4?

A. 16
B. 14
C. 12
D. 10

Solution

Substituting x = 2, we get 3(2²) + 4 = 3(4) + 4 = 12 + 4 = 16.

Correct Answer: B — 14

1
2
3
4
>
>|

Showing 1 to 30 of 97 (4 Pages)

School

College

Degree

Competitve

Skills

Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely