Q. If A invests $50,000 and B invests $70,000 in a partnership, and they agree to share profits in the ratio of their investments, what will be A's share if the total profit is $30,000?
A.
$12,000
B.
$15,000
C.
$18,000
D.
$20,000
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Solution
Total investment = 50000 + 70000 = 120000. A's share = (50000/120000) * 30000 = $12,500.
Correct Answer:
B
— $15,000
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Q. If a man sells an article for $150 at a profit of 20%, what was the cost price?
A.
$125
B.
$130
C.
$140
D.
$120
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Solution
Let the cost price be x. Selling Price = Cost Price + Profit = x + 0.2x = 1.2x. 1.2x = 150, x = 150/1.2 = 125.
Correct Answer:
A
— $125
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Q. If a number is a multiple of 9 and less than 100, what is the largest such number?
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Solution
The largest multiple of 9 less than 100 is 81.
Correct Answer:
A
— 81
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Q. If a number is a multiple of both 3 and 5, what is the smallest number greater than 10?
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Solution
The smallest multiple of both 3 and 5 greater than 10 is 15.
Correct Answer:
A
— 15
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Q. If a number is a multiple of both 5 and 7, what is the smallest such number?
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Solution
The smallest multiple of both 5 and 7 is 35.
Correct Answer:
A
— 35
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Q. If a number is a multiple of both 5 and 9, what is the smallest such number?
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Solution
The smallest multiple of both 5 and 9 is 45.
Correct Answer:
B
— 90
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Q. If a number is composite, which of the following must be true?
A.
It has exactly two factors
B.
It has more than two factors
C.
It is even
D.
It is greater than 1
Show solution
Solution
A composite number has more than two factors.
Correct Answer:
B
— It has more than two factors
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Q. If a number is divisible by 2 and 3, is it prime or composite?
A.
Prime
B.
Composite
C.
Neither
D.
Cannot be determined
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Solution
A number divisible by 2 and 3 is composite, as it has divisors other than 1 and itself.
Correct Answer:
B
— Composite
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Q. If a number is divisible by 2 and 3, is it prime?
A.
Yes
B.
No
C.
Only if it's 6
D.
Only if it's odd
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Solution
No, because if a number is divisible by 2 and 3, it has divisors other than 1 and itself.
Correct Answer:
B
— No
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Q. If a number is divisible by 9, which of the following must also be true?
A.
It is divisible by 3
B.
It is divisible by 6
C.
It is divisible by 12
D.
It is divisible by 18
Show solution
Solution
Any number divisible by 9 is also divisible by 3.
Correct Answer:
A
— It is divisible by 3
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Q. If a number is divisible by both 3 and 4, what is the smallest positive number it can be?
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Solution
The smallest positive number divisible by both 3 and 4 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the least possible value of that number?
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Solution
The least common multiple (LCM) of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest positive integer that is also a multiple of both?
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Solution
The LCM of 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest positive integer that it can be?
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Solution
The smallest positive integer divisible by both 4 and 6 is 12.
Correct Answer:
A
— 12
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Q. If a number is divisible by both 4 and 6, what is the smallest such number?
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Solution
The smallest number divisible by both 4 and 6 is their LCM, which is 12.
Correct Answer:
A
— 12
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Q. If a number is multiplied by 3 and then decreased by 4, the result is 11. What is the number?
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Solution
Let the number be x. Then, 3x - 4 = 11. Solving gives x = 5.
Correct Answer:
B
— 7
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Q. If a number is multiplied by 3 and then decreased by 5, the result is 16. What is the number?
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Solution
Let the number be x. Then, 3x - 5 = 16. Solving gives x = 7.
Correct Answer:
B
— 8
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Q. If a number is multiplied by 7 and the result is 56, what is the number?
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Solution
The number is 8, since 7 * 8 = 56.
Correct Answer:
C
— 8
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Q. If a number is multiplied by 9 and then decreased by 27, the result is 0. What is the number?
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Solution
Let the number be x. Then, 9x - 27 = 0, so 9x = 27, and x = 3.
Correct Answer:
A
— 3
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Q. If a number is multiplied by 9 and then decreased by 27, the result is 54. What is the number?
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Solution
Let the number be x. Then, 9x - 27 = 54. Solving gives x = 9.
Correct Answer:
B
— 6
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Q. If a number is multiplied by 9 and then decreased by 7, the result is 20. What is the number?
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Solution
Let the number be x. Then, 9x - 7 = 20, so 9x = 27, and x = 3.
Correct Answer:
A
— 3
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Q. If a person can read 60 pages in 2 hours, how many pages can he read in 5 hours? (2021)
A.
120 pages
B.
150 pages
C.
180 pages
D.
200 pages
Show solution
Solution
Reading speed = 60 pages / 2 hours = 30 pages/hour. In 5 hours, he can read 30 × 5 = 150 pages.
Correct Answer:
C
— 180 pages
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Q. If a person can type 30 words per minute, how many words can he type in 45 minutes? (2021)
A.
1200 words
B.
1350 words
C.
1500 words
D.
1800 words
Show solution
Solution
Total Words = Speed × Time = 30 wpm × 45 min = 1350 words
Correct Answer:
B
— 1350 words
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Q. If a person can walk 5 km in 1 hour, how long will it take him to walk 15 km?
A.
2 hours
B.
2.5 hours
C.
3 hours
D.
3.5 hours
Show solution
Solution
Time = Distance / Speed = 15 km / 5 km/h = 3 hours.
Correct Answer:
C
— 3 hours
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Q. If a person earns $5000 and spends 80% of it, how much does he save?
A.
$800
B.
$1000
C.
$1200
D.
$1500
Show solution
Solution
Amount spent = 80% of 5000 = 4000. Savings = 5000 - 4000 = 1000.
Correct Answer:
B
— $1000
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Q. If a person runs 10 km in 50 minutes, what is their speed in km/h?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
15 km/h
Show solution
Solution
Speed = Distance / Time = 10 km / (50/60) hours = 10 km / (5/6) = 12 km/h.
Correct Answer:
B
— 12 km/h
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Q. If a person runs 10 km in 50 minutes, what is their speed in m/s?
A.
2 m/s
B.
3 m/s
C.
4 m/s
D.
5 m/s
Show solution
Solution
Speed = (10 km * 1000 m/km) / (50 min * 60 s/min) = 3.33 m/s, rounded to 4 m/s.
Correct Answer:
C
— 4 m/s
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Q. If a person walks at a speed of 4 km/h, how long will it take him to walk 16 km? (2023)
A.
2 hours
B.
3 hours
C.
4 hours
D.
5 hours
Show solution
Solution
Time = Distance / Speed = 16 km / 4 km/h = 4 hours
Correct Answer:
C
— 4 hours
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Q. If a person walks at a speed of 4 km/h, how long will it take to walk 10 km?
A.
2 hours
B.
2.5 hours
C.
3 hours
D.
3.5 hours
Show solution
Solution
Time = Distance / Speed = 10 km / 4 km/h = 2.5 hours.
Correct Answer:
A
— 2 hours
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Q. If a piece of ribbon is 2.5 meters long, how many 0.5 meter pieces can be cut from it?
Show solution
Solution
2.5 / 0.5 = 5 pieces can be cut.
Correct Answer:
B
— 5
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Showing 781 to 810 of 1468 (49 Pages)
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!
