Quantitative Aptitude (SSC)

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Q. Simplify: 100 - (25 + 25) ÷ 5.

A. 90
B. 80
C. 70
D. 60

Solution

25 + 25 = 50; 50 ÷ 5 = 10; 100 - 10 = 90.

Correct Answer: B — 80

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Q. Simplify: 100 - (25 ÷ 5) × 4.

A. 80
B. 60
C. 40
D. 20

Solution

25 ÷ 5 = 5; 5 × 4 = 20; 100 - 20 = 80.

Correct Answer: B — 60

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Q. Simplify: 18 - (3 × 4) + 2.

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

Solution

3 × 4 = 12; 18 - 12 + 2 = 8.

Correct Answer: B — 12

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Q. Simplify: 3 × (2 + 4) ÷ 2

A. 9
B. 6
C. 12
D. 15

Solution

First, solve inside the parentheses: 2 + 4 = 6. Then multiply: 3 × 6 = 18. Finally, divide: 18 ÷ 2 = 9.

Correct Answer: B — 6

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Q. Simplify: 3√(27) + 2^3 - 5

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

Solution

Calculate the cube root: 3√(27) = 3. Then, calculate the exponent: 2^3 = 8. Finally, add and subtract: 3 + 8 - 5 = 6.

Correct Answer: B — 18

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Q. Simplify: 4 + 2 × (3 - 1)^2

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

Solution

First, calculate the expression in parentheses: 3 - 1 = 2. Then, square it: 2^2 = 4. Now, multiply: 2 × 4 = 8. Finally, add: 4 + 8 = 12.

Correct Answer: B — 10

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Q. Simplify: 45 ÷ 9 + 6 × 2

A. 18
B. 20
C. 16
D. 14

Solution

First, calculate 45 ÷ 9 = 5 and 6 × 2 = 12. Now, 5 + 12 = 17.

Correct Answer: B — 20

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Q. Simplify: 4√(81) - 2^3

A. 30
B. 26
C. 22
D. 18

Solution

Calculate the square root: 4√(81) = 4 × 9 = 36. Then, 2^3 = 8. Finally, 36 - 8 = 28.

Correct Answer: B — 26

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Q. Simplify: 4√(9) + 2^3 - 5

A. 15
B. 17
C. 13
D. 11

Solution

Calculate the square root: 4√(9) = 4 × 3 = 12. Then calculate the exponent: 2^3 = 8. Finally, perform the addition and subtraction: 12 + 8 - 5 = 15.

Correct Answer: B — 17

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Q. Simplify: 4√(9) + 2√(16)

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

Solution

Calculate 4√(9) = 4 × 3 = 12 and 2√(16) = 2 × 4 = 8. Then, 12 + 8 = 20.

Correct Answer: A — 20

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Q. Simplify: 4√(9) - 2^3

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

Solution

4√(9) = 4 × 3 = 12 and 2^3 = 8. So, 12 - 8 = 4.

Correct Answer: B — 8

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Q. Simplify: 5 + 2 × (3^2 - 1)

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

Solution

First, calculate the exponent: 3^2 = 9. Then, solve inside the parentheses: 9 - 1 = 8. Next, multiply: 2 × 8 = 16. Finally, add: 5 + 16 = 21.

Correct Answer: B — 12

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Q. Simplify: 5 × (3 + 2) - 4 × 2.

A. 15
B. 10
C. 20
D. 5

Solution

First, calculate inside the parentheses: 3 + 2 = 5. Then, 5 × 5 - 4 × 2 = 25 - 8 = 17.

Correct Answer: A — 15

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Q. Simplify: 50 ÷ 2 + 3 × 4 - 5

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

Solution

50 ÷ 2 = 25; 3 × 4 = 12; 25 + 12 - 5 = 32.

Correct Answer: C — 30

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Q. Simplify: 60 - (12 ÷ 4) × 5.

A. 45
B. 50
C. 55
D. 60

Solution

12 ÷ 4 = 3; 3 × 5 = 15; 60 - 15 = 45.

Correct Answer: A — 45

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Q. Simplify: 7 + 2 × 5 - 3.

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

Solution

First, calculate 2 × 5 = 10. Then, 7 + 10 - 3 = 14.

Correct Answer: B — 14

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Q. Simplify: 7 × 2 + 8 ÷ 4 - 3.

A. 15
B. 14
C. 16
D. 12

Solution

First, calculate 7 × 2 = 14 and 8 ÷ 4 = 2. Then, 14 + 2 - 3 = 13.

Correct Answer: A — 15

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Q. Simplify: 7 × 3 + 12 ÷ 4 - 5.

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

Solution

First, calculate 7 × 3 = 21 and 12 ÷ 4 = 3. Then, 21 + 3 - 5 = 19.

Correct Answer: C — 18

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Q. Simplify: 8 × (2 + 3) - 10.

A. 30
B. 25
C. 20
D. 15

Solution

2 + 3 = 5; 8 × 5 = 40; 40 - 10 = 30.

Correct Answer: B — 25

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Q. Simplify: 8 × (3 + 5) - 16 ÷ 4

A. 56
B. 48
C. 40
D. 32

Solution

3 + 5 = 8; 8 × 8 = 64; 16 ÷ 4 = 4; 64 - 4 = 60.

Correct Answer: B — 48

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Q. Simplify: 9 - (3 × 2) + 4.

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

Solution

First, calculate inside the parentheses: 3 × 2 = 6. Then, 9 - 6 + 4 = 7.

Correct Answer: B — 8

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Q. Simplify: 90 - (6 × 10) + 15

A. 15
B. 30
C. 45
D. 60

Solution

6 × 10 = 60; 90 - 60 + 15 = 45.

Correct Answer: C — 45

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Q. Solve for x and y: 7x + 2y = 14 and 3x + 4y = 18. What is the value of x?

A. 1
B. 2
C. 3
D. 4

Solution

From the first equation, y = (14 - 7x)/2. Substituting into the second gives 3x + 4((14 - 7x)/2) = 18. Solving leads to x = 2.

Correct Answer: B — 2

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Q. Solve for x and y: 7x + 2y = 34 and 3x + 4y = 18. What is the value of y?

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

Solution

From the first equation, 2y = 34 - 7x, so y = (34 - 7x)/2. Substituting into the second equation gives 3x + 4(34 - 7x)/2 = 18. Solving leads to y = 3.

Correct Answer: B — 3

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Q. Solve for x: 10x - 10 = 0. (2023)

A. 0
B. 1
C. 2
D. 3

Solution

10x - 10 = 0 => 10x = 10 => x = 1.

Correct Answer: B — 1

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Q. Solve for x: 7x - 3 = 18. (2023)

A. 3
B. 4
C. 5
D. 6

Solution

7x - 3 = 18 => 7x = 21 => x = 3.

Correct Answer: C — 5

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Q. Solve for y: 4y + 12 = 28.

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

Solution

Subtract 12 from both sides: 4y = 16. Then divide by 4: y = 4.

Correct Answer: C — 4

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Q. Solve for y: 4y + 2 = 18.

A. 3
B. 4
C. 5
D. 6

Solution

Subtract 2 from both sides: 4y = 16. Then divide by 4: y = 4.

Correct Answer: A — 3

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Q. Solve for z: 2z/3 + 4 = 10.

A. 6
B. 7
C. 8
D. 9

Solution

Subtract 4 from both sides: 2z/3 = 6. Multiply by 3: 2z = 18. Divide by 2: z = 9.

Correct Answer: A — 6

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Q. Solve the equations: 2x + 3y = 12 and x - y = 1. What is the value of x?

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

Solution

From the second equation, x = y + 1. Substituting into the first gives 2(y + 1) + 3y = 12. Simplifying, 2y + 2 + 3y = 12, so 5y = 10, thus y = 2. Therefore, x = 3.

Correct Answer: B — 3

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Quantitative Aptitude (SSC) MCQ & Objective Questions

Quantitative Aptitude is a crucial component of various exams, especially for students preparing for the SSC (Staff Selection Commission) exams. Mastering this subject not only enhances problem-solving skills but also boosts confidence in tackling objective questions. Regular practice with MCQs and practice questions is essential for scoring better and understanding important concepts effectively.

What You Will Practise Here

Number Systems and their properties
Percentage, Ratio, and Proportion calculations
Time, Speed, and Distance problems
Simple and Compound Interest concepts
Algebraic expressions and equations
Data Interpretation and analysis
Mensuration and Geometry basics

Exam Relevance

Quantitative Aptitude is a significant part of the syllabus for CBSE, State Boards, and competitive exams like NEET and JEE. In these exams, students can expect questions that assess their ability to apply mathematical concepts to real-world scenarios. Common question patterns include direct problem-solving, data interpretation, and application of formulas, making it essential for students to be well-prepared.

Common Mistakes Students Make

Misunderstanding the problem statement leading to incorrect assumptions
Neglecting to apply the correct formulas in calculations
Overlooking units of measurement in word problems
Rushing through questions without double-checking calculations

FAQs

Question: What are the best ways to prepare for Quantitative Aptitude in SSC exams?
Answer: Regular practice with MCQs, understanding key concepts, and solving previous years' question papers are effective strategies.

Question: How can I improve my speed in solving Quantitative Aptitude questions?
Answer: Practicing timed quizzes and focusing on shortcut methods can significantly enhance your speed and accuracy.

Start your journey towards mastering Quantitative Aptitude today! Solve practice MCQs and test your understanding to achieve your exam goals. Remember, consistent practice is the key to success!

Quantitative Aptitude (SSC)

Quantitative Aptitude (SSC) MCQ & Objective Questions

What You Will Practise Here

Exam Relevance

Common Mistakes Students Make

FAQs

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