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!
Q. A 12-meter tall pole casts a shadow of 6 meters. What is the angle of elevation of the sun?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
Show solution
Solution
Using tan(θ) = height / shadow length, we have θ = tan⁻¹(12/6) = tan⁻¹(2) which corresponds to approximately 60 degrees.
Correct Answer:
C
— 60 degrees
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Q. A and B are mixed in the ratio 1:3. If there are 48 liters of the mixture, how much of liquid A is there?
A.
12 liters
B.
16 liters
C.
18 liters
D.
20 liters
Show solution
Solution
In a 1:3 ratio, the total parts = 1 + 3 = 4. Liquid A = (1/4) * 48 = 12 liters.
Correct Answer:
B
— 16 liters
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Q. A and B are mixed in the ratio 1:4. If there are 100 liters of the mixture, how much of A is there?
A.
20 liters
B.
25 liters
C.
30 liters
D.
40 liters
Show solution
Solution
Total parts = 1 + 4 = 5. A = (1/5) * 100 = 20 liters.
Correct Answer:
A
— 20 liters
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Q. A and B are mixed in the ratio 1:4. If there are 15 liters of B, how much A is there?
A.
3 liters
B.
4 liters
C.
5 liters
D.
6 liters
Show solution
Solution
If B = 4 parts = 15L, then A = (1/4) * 15 = 3.75L.
Correct Answer:
A
— 3 liters
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Q. A and B are mixed in the ratio 2:3. If the total quantity of the mixture is 50 liters, how much of A is there?
A.
20 liters
B.
30 liters
C.
25 liters
D.
15 liters
Show solution
Solution
Total parts = 2 + 3 = 5. A's part = (2/5) * 50 = 20 liters.
Correct Answer:
A
— 20 liters
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Q. A and B are mixed in the ratio 2:3. If the total volume of the mixture is 50 liters, how much of A is there?
A.
20 liters
B.
30 liters
C.
10 liters
D.
25 liters
Show solution
Solution
Total parts = 2 + 3 = 5. A = (2/5) * 50 = 20 liters.
Correct Answer:
A
— 20 liters
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Q. A and B are mixed in the ratio 2:3. If there are 30 liters of mixture, how much of A is there?
A.
12 liters
B.
18 liters
C.
20 liters
D.
15 liters
Show solution
Solution
In a 2:3 ratio, total parts = 2 + 3 = 5. A = (2/5) * 30 = 12 liters.
Correct Answer:
B
— 18 liters
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Q. A and B are mixed in the ratio 5:3. If there are 64 liters of the mixture, how much of liquid B is there?
A.
24 liters
B.
32 liters
C.
40 liters
D.
16 liters
Show solution
Solution
In a 5:3 ratio, the total parts = 5 + 3 = 8. Liquid B = (3/8) * 64 = 24 liters.
Correct Answer:
A
— 24 liters
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Q. A and B can complete a work in 12 days and 18 days respectively. If they work together, how long will it take them to complete the work?
A.
6 days
B.
8 days
C.
10 days
D.
12 days
Show solution
Solution
A's work rate = 1/12, B's work rate = 1/18. Together, they work at (1/12 + 1/18) = 5/36. Time taken = 36/5 = 7.2 days.
Correct Answer:
B
— 8 days
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Q. A and B can complete a work in 12 days and 18 days respectively. In how many days can they complete the work together?
Show solution
Solution
A's work rate = 1/12, B's work rate = 1/18. Together, they work at (1/12 + 1/18) = 5/36. Therefore, time = 36/5 = 7.2 days.
Correct Answer:
A
— 7.2
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Q. A and B can do a piece of work in 12 days and 18 days respectively. If they work together for 6 days, how much of the work is left?
A.
1/3
B.
1/4
C.
1/2
D.
2/3
Show solution
Solution
A's rate = 1/12, B's rate = 1/18. Combined rate = 1/12 + 1/18 = 5/36. In 6 days, they complete 5/6 of the work, leaving 1/6.
Correct Answer:
C
— 1/2
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Q. A and B can do a piece of work in 20 days and 30 days respectively. If they work together for 10 days, how much of the work is left?
A.
1/3
B.
1/4
C.
1/5
D.
1/6
Show solution
Solution
A's rate = 1/20, B's rate = 1/30. Combined rate = 1/20 + 1/30 = 1/12. In 10 days, they complete 10/12 = 5/6 of the work. Remaining = 1 - 5/6 = 1/6.
Correct Answer:
A
— 1/3
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Q. A and B have an average weight of 60 kg. If A weighs 70 kg, what is B's weight?
A.
50 kg
B.
60 kg
C.
70 kg
D.
80 kg
Show solution
Solution
Average = (A + B) / 2 = 60. Therefore, A + B = 120. If A = 70, then B = 120 - 70 = 50 kg.
Correct Answer:
A
— 50 kg
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Q. A and B invest in a business in the ratio 3:2. If A's share of profit is $600, what is B's share?
A.
$400
B.
$300
C.
$500
D.
$600
Show solution
Solution
If A's share is $600 and the ratio is 3:2, then B's share is (2/3) * 600 = $400.
Correct Answer:
A
— $400
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Q. A and B invest in a business in the ratio 3:2. If the total profit is $5000, how much does B receive?
A.
$2000
B.
$2500
C.
$3000
D.
$1500
Show solution
Solution
Total parts = 3 + 2 = 5. B's share = (2/5) * 5000 = $2000.
Correct Answer:
A
— $2000
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Q. A and B invest in a business in the ratio of 3:2. If the total profit is $5000, how much does B receive?
A.
$2000
B.
$3000
C.
$2500
D.
$1500
Show solution
Solution
Total parts = 3 + 2 = 5. B's share = (2/5) * 5000 = $2000.
Correct Answer:
A
— $2000
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Q. A and B invest in a business in the ratio of 3:4. If the total profit is $70,000, how much does A receive?
A.
$30,000
B.
$28,000
C.
$32,000
D.
$35,000
Show solution
Solution
Total parts = 3 + 4 = 7. A's share = (3/7) * 70000 = $30,000.
Correct Answer:
A
— $30,000
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Q. A and B invest in a business in the ratio of 4:5. If A's investment is $16,000, what is B's investment?
A.
$20,000
B.
$18,000
C.
$22,000
D.
$24,000
Show solution
Solution
If A's investment is 4 parts, then B's investment = (5/4) * 16000 = $20,000.
Correct Answer:
A
— $20,000
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Q. A and B invest in a business with A investing $10,000 and B investing $15,000. If they make a profit of $25,000, how much does A receive?
A.
$10,000
B.
$12,500
C.
$8,333
D.
$6,250
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (10000 / 25000) * 25000 = $10,000.
Correct Answer:
B
— $12,500
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Q. A and B invest in a business with A investing $12,000 and B investing $18,000. If they make a profit of $30,000, how much does A get?
A.
$12,000
B.
$15,000
C.
$18,000
D.
$20,000
Show solution
Solution
A's share = (12000 / (12000 + 18000)) * 30000 = (12000 / 30000) * 30000 = $12,000.
Correct Answer:
B
— $15,000
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Q. A and B invest in a business with A investing $25,000 and B investing $35,000. If the total profit is $60,000, what is A's share?
A.
$25,000
B.
$30,000
C.
$35,000
D.
$40,000
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (25000 / 60000) * 60000 = $25,000.
Correct Answer:
B
— $30,000
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Q. A and B invest in a business with A investing $30,000 and B investing $50,000. If they make a profit of $40,000, how much will B receive?
A.
$20,000
B.
$25,000
C.
$30,000
D.
$15,000
Show solution
Solution
Total investment = 30000 + 50000 = 80000. B's share = (50000/80000) * 40000 = $25,000.
Correct Answer:
B
— $25,000
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Q. A and B invest in a business with A investing $40,000 and B investing $60,000. If the total profit is $200,000, what is B's share?
A.
$80,000
B.
$100,000
C.
$120,000
D.
$140,000
Show solution
Solution
B's share = (B's investment / Total investment) * Total profit = (60000 / 100000) * 200000 = $120,000.
Correct Answer:
B
— $100,000
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Q. A and B invest in a business with A investing $8,000 and B investing $12,000. If they make a profit of $40,000, how much does B receive?
A.
$16,000
B.
$24,000
C.
$20,000
D.
$12,000
Show solution
Solution
B's share = (B's investment / Total investment) * Total profit = (12000 / 20000) * 40000 = $24,000.
Correct Answer:
B
— $24,000
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Q. A and B invest in a business with investments of $15,000 and $25,000 respectively. If they make a profit of $40,000, how much will B receive?
A.
$25,000
B.
$30,000
C.
$15,000
D.
$20,000
Show solution
Solution
Total investment = 15,000 + 25,000 = 40,000. B's share = (25,000/40,000) * 40,000 = $25,000.
Correct Answer:
B
— $30,000
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Q. A and B start a business with investments of $12,000 and $18,000 respectively. If they make a profit of $30,000, how much will A receive?
A.
$12,000
B.
$10,000
C.
$8,000
D.
$15,000
Show solution
Solution
Total investment = 12,000 + 18,000 = 30,000. A's share = (12,000/30,000) * 30,000 = $12,000.
Correct Answer:
B
— $10,000
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Q. A and B start a business with investments of $25,000 and $35,000 respectively. If they make a profit of $12,000, how much will A receive?
A.
$5,000
B.
$6,000
C.
$7,000
D.
$8,000
Show solution
Solution
Total investment = 25000 + 35000 = 60000. A's share = (25000/60000) * 12000 = $5,000.
Correct Answer:
B
— $6,000
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Q. A and B start a business with investments of $25,000 and $35,000 respectively. If they make a profit of $60,000, how much will A receive?
A.
$25,000
B.
$30,000
C.
$35,000
D.
$15,000
Show solution
Solution
Total investment = 25000 + 35000 = 60000. A's share = (25000 / 60000) * 60000 = $25,000.
Correct Answer:
B
— $30,000
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Q. A and B start a business with investments of $30,000 and $45,000 respectively. If they make a profit of $90,000, how much does A receive?
A.
$30,000
B.
$36,000
C.
$40,000
D.
$45,000
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (30000 / 75000) * 90000 = $36,000.
Correct Answer:
B
— $36,000
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Q. A bag contains 3 red, 5 blue, and 2 green balls. What is the average number of balls per color?
Show solution
Solution
Total balls = 3 + 5 + 2 = 10. Average = Total balls / Number of colors = 10 / 3 = 3.33.
Correct Answer:
D
— 4
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