Quantitative Aptitude (SSC)

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Q. Solve the system: 6x + 5y = 30 and 4x - 3y = 6. What is the value of x?

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

Solution

From the first equation, 5y = 30 - 6x, so y = (30 - 6x)/5. Substituting into the second gives 4x - 3(30 - 6x)/5 = 6. Solving leads to x = 2.

Correct Answer: B — 2

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Q. Solve the system: 6x + 5y = 45 and 4x - 3y = 1. What is the value of y?

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

Solution

From the first equation, 5y = 45 - 6x. Substituting into the second gives 4x - 3(45 - 6x)/5 = 1. Solving gives y = 5.

Correct Answer: A — 5

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Q. Solve the system: 6x + 5y = 45 and 4x - 3y = 7. What is the value of y?

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

Solution

From the first equation, y = (45 - 6x)/5. Substituting into the second gives 4x - 3((45 - 6x)/5) = 7. Solving leads to y = 5.

Correct Answer: A — 5

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Q. T and U invest $20000 and $30000 respectively. If they make a profit of $10000, what is U's share?

A. $4000
B. $6000
C. $5000
D. $7000

Solution

Total investment = 20000 + 30000 = 50000. U's share = (30000/50000) * 10000 = $6000.

Correct Answer: B — $6000

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Q. T and U invest in a business in the ratio 2:3. If T's profit is $800, what is U's profit?

A. $600
B. $700
C. $800
D. $900

Solution

If T's profit is $800 and the ratio is 2:3, then U's profit is (3/2) * 800 = $1,200.

Correct Answer: A — $600

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Q. T and U invest in a business with T investing $12000 and U investing $18000. If the profit is $9000, how much does U receive?

A. $4000
B. $5000
C. $6000
D. $7000

Solution

Total investment = 12000 + 18000 = 30000. U's share = (18000/30000) * 9000 = $5400.

Correct Answer: C — $6000

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Q. The average of 12 numbers is 15. If one number is removed, the average becomes 14. What is the removed number?

A. 16
B. 17
C. 18
D. 19

Solution

Total of 12 numbers = 12 * 15 = 180. Total of 11 numbers = 11 * 14 = 154. Removed number = 180 - 154 = 26.

Correct Answer: C — 18

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Q. The average of 12 numbers is 40. If one number is increased by 20, what will be the new average?

A. 40
B. 41
C. 42
D. 43

Solution

Total of 12 numbers = 12 * 40 = 480. New total = 480 + 20 = 500. New average = 500 / 12 = 41.67.

Correct Answer: B — 41

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Q. The average of 12 numbers is 60. If one number is removed, the average becomes 58. What is the removed number?

A. 66
B. 60
C. 54
D. 62

Solution

Total of 12 numbers = 12 * 60 = 720. Total of 11 numbers = 11 * 58 = 638. Removed number = 720 - 638 = 82.

Correct Answer: D — 62

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Q. The average of 12 numbers is 60. If the average of the first 6 numbers is 70, what is the average of the last 6 numbers?

A. 50
B. 55
C. 60
D. 65

Solution

Total of 12 numbers = 12 * 60 = 720. Total of first 6 = 6 * 70 = 420. Total of last 6 = 720 - 420 = 300. Average of last 6 = 300 / 6 = 50.

Correct Answer: A — 50

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Q. The average of 12 numbers is 60. If the highest number is removed, the average of the remaining numbers is 58. What is the highest number?

A. 66
B. 68
C. 70
D. 72

Solution

Total of 12 numbers = 12 * 60 = 720. Total of 11 numbers = 11 * 58 = 638. Highest number = 720 - 638 = 82.

Correct Answer: C — 70

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Q. The average of 4 numbers is 20. If one number is increased by 10, what will be the new average?

A. 20
B. 22.5
C. 25
D. 30

Solution

Total of 4 numbers = 4 * 20 = 80. New total = 80 + 10 = 90. New average = 90 / 4 = 22.5.

Correct Answer: B — 22.5

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Q. The average of 4 numbers is 25. If one number is increased by 5, what will be the new average?

A. 25
B. 26
C. 27
D. 28

Solution

Total of 4 numbers = 4 * 25 = 100. New total = 100 + 5 = 105. New average = 105 / 4 = 26.25.

Correct Answer: B — 26

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Q. The average of 4 numbers is 25. If one number is removed, the average becomes 20. What is the removed number?

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

Solution

Total of 4 numbers = 4 * 25 = 100. Total of 3 numbers = 3 * 20 = 60. Removed number = 100 - 60 = 40.

Correct Answer: D — 30

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Q. The average of 5 numbers is 12. If one number is removed, the average of the remaining numbers becomes 10. What is the number that was removed?

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

Solution

Total of 5 numbers = 5 * 12 = 60. Total of 4 numbers = 4 * 10 = 40. Number removed = 60 - 40 = 20.

Correct Answer: D — 14

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Q. The average of 5 numbers is 45. If the largest number is 60, what is the average of the other four numbers?

A. 40
B. 42
C. 44
D. 46

Solution

Total of 5 numbers = 5 * 45 = 225. Total of other four numbers = 225 - 60 = 165. Average of other four = 165 / 4 = 41.25.

Correct Answer: C — 44

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Q. The average of 5 numbers is 50. If one number is removed, the average becomes 45. What is the number that was removed?

A. 55
B. 60
C. 65
D. 70

Solution

Total of 5 numbers = 5 * 50 = 250. Total of 4 numbers = 4 * 45 = 180. Number removed = 250 - 180 = 70.

Correct Answer: A — 55

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Q. The average of 5 numbers is 50. If the average of the first 3 numbers is 40, what is the average of the last 2 numbers?

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

Solution

Total of 5 numbers = 5 * 50 = 250. Total of first 3 numbers = 3 * 40 = 120. Total of last 2 numbers = 250 - 120 = 130. Average of last 2 numbers = 130 / 2 = 65.

Correct Answer: B — 70

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Q. The average of 5 test scores is 76. If the highest score is removed, the average of the remaining scores is 72. What is the highest score?

A. 80
B. 84
C. 88
D. 92

Solution

Total score of 5 tests = 5 * 76 = 380. Total score of 4 tests = 4 * 72 = 288. Therefore, the highest score = 380 - 288 = 92.

Correct Answer: B — 84

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Q. The average of 5 test scores is 82. If the highest score is removed, the average becomes 80. What was the highest score?

A. 84
B. 85
C. 86
D. 87

Solution

Total score = 5 * 82 = 410. Total score without highest = 4 * 80 = 320. Highest score = 410 - 320 = 90.

Correct Answer: B — 85

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Q. The average of 5 test scores is 82. If the highest score is removed, the average of the remaining scores is 78. What is the highest score?

A. 84
B. 86
C. 88
D. 90

Solution

Total of 5 scores = 5 * 82 = 410. Total of 4 scores = 4 * 78 = 312. Highest score = 410 - 312 = 98.

Correct Answer: B — 86

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Q. The average of 6 numbers is 12. If one number is increased by 6, what will be the new average?

A. 12
B. 13
C. 14
D. 15

Solution

Total of 6 numbers = 6 * 12 = 72. New total = 72 + 6 = 78. New average = 78 / 6 = 13.

Correct Answer: B — 13

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Q. The average of 6 numbers is 30. If one number is removed, the average becomes 28. What is the number that was removed?

A. 32
B. 34
C. 36
D. 38

Solution

Total of 6 numbers = 6 * 30 = 180. Total of 5 numbers = 5 * 28 = 140. Number removed = 180 - 140 = 40.

Correct Answer: A — 32

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Q. The average of 8 numbers is 50. If one number is removed, the average becomes 48. What is the value of the removed number?

A. 56
B. 50
C. 48
D. 44

Solution

Total of 8 numbers = 8 * 50 = 400. Total of 7 numbers = 7 * 48 = 336. Therefore, the removed number = 400 - 336 = 64.

Correct Answer: A — 56

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Q. The average of five numbers is 50. If one number is increased by 10, what will be the new average?

A. 52
B. 50
C. 51
D. 53

Solution

Total sum = 5 * 50 = 250. New total = 250 + 10 = 260. New average = 260 / 5 = 52.

Correct Answer: C — 51

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Q. The average of three consecutive integers is 15. What is the largest of these integers?

A. 15
B. 16
C. 17
D. 18

Solution

Let the integers be x, x+1, x+2. Average = (x + (x+1) + (x+2))/3 = 15. Solving gives x = 14, largest integer = 16.

Correct Answer: C — 17

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Q. The average of three consecutive integers is 15. What is the smallest of these integers?

A. 14
B. 15
C. 16
D. 17

Solution

Let the integers be x, x+1, x+2. Average = (x + (x+1) + (x+2)) / 3 = 15. Solving gives x = 14.

Correct Answer: A — 14

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Q. The average of three numbers is 15. If one of the numbers is increased by 5, what will be the new average?

A. 15
B. 16
C. 17
D. 18

Solution

Total of three numbers = 3 * 15 = 45. New total after increasing one number by 5 = 45 + 5 = 50. New average = 50 / 3 = 16.67.

Correct Answer: B — 16

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Q. The average of three numbers is 30. If one number is removed, the average becomes 25. What is the removed number?

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

Solution

Let the three numbers be x, y, z.  (x + y + z) / 3 = 30 => x + y + z = 90. After removing one number, (x + y) / 2 = 25 => x + y = 50. Therefore, removed number = 90 - 50 = 40.

Correct Answer: A — 35

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Q. The average of three numbers is 30. If one of the numbers is increased by 10, what will be the new average?

A. 30
B. 32
C. 33.33
D. 35

Solution

The sum of the three numbers is 3 * 30 = 90. If one number is increased by 10, the new sum is 90 + 10 = 100. The new average = 100 / 3 = 33.33.

Correct Answer: C — 33.33

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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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