Q. C and D start a business with investments of $6000 and $4000 respectively. If the profit is $1000, what is C's share?
A.
$600
B.
$400
C.
$700
D.
$800
Show solution
Solution
Total investment = 6000 + 4000 = 10000. C's share = (6000/10000) * 1000 = $600.
Correct Answer:
A
— $600
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Q. C and D start a business with investments of $6000 and $4000 respectively. If they make a profit of $1000, how much does C get?
A.
$600
B.
$400
C.
$700
D.
$800
Show solution
Solution
Total investment = 6000 + 4000 = 10000. C's share = (6000/10000) * 1000 = $600.
Correct Answer:
D
— $800
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Q. C and D start a business with investments of $8000 and $12000 respectively. If they make a profit of $6000, what is D's share?
A.
$2400
B.
$3600
C.
$4000
D.
$3000
Show solution
Solution
Total investment = 8000 + 12000 = 20000. D's share = (12000/20000) * 6000 = $3600.
Correct Answer:
B
— $3600
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Q. C and D start a business with investments of $8000 and $12000 respectively. If the profit is $6000, what is D's share?
A.
$2400
B.
$3600
C.
$4000
D.
$3000
Show solution
Solution
Total investment = 8000 + 12000 = 20000. D's share = (12000/20000) * 6000 = $3600.
Correct Answer:
B
— $3600
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Q. C and D start a business with investments of $8000 and $12000 respectively. If they make a profit of $6000, how much does C get?
A.
$2400
B.
$3000
C.
$2000
D.
$3600
Show solution
Solution
Total investment = 8000 + 12000 = 20000. C's share = (8000/20000) * 6000 = $2400.
Correct Answer:
B
— $3000
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Q. C and D start a business with investments of $8000 and $12000 respectively. If they make a profit of $6000, how much will C get?
A.
$2400
B.
$3000
C.
$2000
D.
$3600
Show solution
Solution
Total investment = 8000 + 12000 = 20000. C's share = (8000/20000) * 6000 = $2400.
Correct Answer:
B
— $3000
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Q. C, D, and E start a business with investments of $12,000, $18,000, and $30,000 respectively. What is the share of E in a profit of $60,000?
A.
$20,000
B.
$30,000
C.
$15,000
D.
$25,000
Show solution
Solution
E's share = (E's investment / Total investment) * Total profit = (30000 / 60000) * 60000 = $30,000.
Correct Answer:
B
— $30,000
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Q. C, D, and E start a business with investments of $12,000, $18,000, and $30,000 respectively. What is the share of D in a profit of $60,000?
A.
$18,000
B.
$24,000
C.
$12,000
D.
$30,000
Show solution
Solution
D's share = (D's investment / Total investment) * Total profit = (18000 / 60000) * 60000 = $18,000.
Correct Answer:
B
— $24,000
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Q. C, D, and E start a business with investments of $5,000, $10,000, and $15,000 respectively. If they make a profit of $60,000, how much will C receive?
A.
$10,000
B.
$15,000
C.
$12,000
D.
$5,000
Show solution
Solution
Total investment = 5000 + 10000 + 15000 = 30000. C's share = (5000 / 30000) * 60000 = $10,000.
Correct Answer:
C
— $12,000
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Q. Calculate 45 ÷ 5 + 6 × 2.
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Solution
45 ÷ 5 = 9; 6 × 2 = 12; 9 + 12 = 21.
Correct Answer:
B
— 18
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Q. Calculate the compound interest on $2000 for 2 years at an interest rate of 8% per annum.
A.
$320
B.
$256
C.
$400
D.
$300
Show solution
Solution
Compound Interest = P(1 + r/n)^(nt) - P = 2000(1 + 0.08/1)^(1*2) - 2000 = 2000(1.1664) - 2000 = $256
Correct Answer:
B
— $256
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Q. Calculate the compound interest on $5000 at 8% per annum for 3 years, compounded annually.
A.
$1,000
B.
$1,200
C.
$1,500
D.
$1,400
Show solution
Solution
Compound Interest = 5000(1 + 0.08)^3 - 5000 = 5000(1.259712) - 5000 = $1298.56
Correct Answer:
D
— $1,400
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Q. Calculate the surface area of a cylinder with a radius of 2 cm and a height of 10 cm.
A.
75.40 cm²
B.
62.83 cm²
C.
40.00 cm²
D.
50.27 cm²
Show solution
Solution
Surface Area = 2πr(h + r) = 2π(2)(10 + 2) = 2π(2)(12) = 48π ≈ 150.80 cm².
Correct Answer:
A
— 75.40 cm²
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Q. Calculate the surface area of a cylinder with a radius of 3 cm and a height of 10 cm.
A.
60 cm²
B.
62.83 cm²
C.
94.25 cm²
D.
100.00 cm²
Show solution
Solution
Surface Area = 2πr(h + r) = 2π(3)(10 + 3) = 2π(3)(13) = 78π ≈ 245.04 cm²
Correct Answer:
C
— 94.25 cm²
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Q. Calculate the surface area of a cylinder with a radius of 5 cm and a height of 10 cm.
A.
314.16 cm²
B.
250.00 cm²
C.
200.00 cm²
D.
150.00 cm²
Show solution
Solution
Surface Area = 2πr(h + r) = 2π(5)(10 + 5) = 2π(5)(15) = 150π ≈ 471.24 cm²
Correct Answer:
A
— 314.16 cm²
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Q. Calculate the surface area of a sphere with a radius of 6 cm.
A.
113.10 cm²
B.
150.80 cm²
C.
452.39 cm²
D.
226.20 cm²
Show solution
Solution
Surface Area = 4πr² = 4π(6)² = 144π ≈ 452.39 cm².
Correct Answer:
C
— 452.39 cm²
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Q. Calculate: (10 + 5) × 2 - 8.
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Solution
First, calculate inside the parentheses: 10 + 5 = 15. Then, 15 × 2 = 30. Finally, 30 - 8 = 22.
Correct Answer:
A
— 22
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Q. Calculate: (15 - 5) × 2 + 10.
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Solution
15 - 5 = 10; 10 × 2 = 20; 20 + 10 = 30.
Correct Answer:
B
— 25
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Q. Calculate: (5 + 3) × (2^2 - 1)
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Solution
First, calculate inside the parentheses: 2^2 - 1 = 3. Then, (5 + 3) = 8. Finally, 8 × 3 = 24.
Correct Answer:
B
— 24
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Q. Calculate: (8 + 4) × 2 - 10 ÷ 2.
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Solution
First, calculate inside the parentheses: 8 + 4 = 12. Then, 12 × 2 - 10 ÷ 2 = 24 - 5 = 19.
Correct Answer:
B
— 22
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Q. Calculate: 144 ÷ (12 - 8) + 6.
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Solution
12 - 8 = 4; 144 ÷ 4 = 36; 36 + 6 = 42.
Correct Answer:
A
— 36
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Q. Calculate: 20 + 3 × (4 - 2)
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Solution
First, calculate (4 - 2) = 2. Now, 3 × 2 = 6. Finally, 20 + 6 = 26.
Correct Answer:
A
— 22
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Q. Calculate: 20 - 4 × (2 + 1).
Show solution
Solution
First, calculate inside the parentheses: 2 + 1 = 3. Then, 4 × 3 = 12. Finally, 20 - 12 = 8.
Correct Answer:
B
— 12
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Q. Calculate: 2^3 + 3^2 - 4 × 2
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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
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Q. Calculate: 3 + 5 × 2 - 4 ÷ 2
Show solution
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
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Q. Calculate: 3 × (4 + 2) - 5.
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Solution
4 + 2 = 6; 3 × 6 = 18; 18 - 5 = 13.
Correct Answer:
A
— 15
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Q. Calculate: 50 - (6 × 5) + 3
Show solution
Solution
First, calculate 6 × 5 = 30. Now, 50 - 30 + 3 = 20 + 3 = 23.
Correct Answer:
B
— 20
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Q. Calculate: 6 + 2 × (5 - 3)^2
Show solution
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
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Q. Calculate: 7 - 2 × (3 + 1)
Show solution
Solution
First, calculate inside the parentheses: 3 + 1 = 4. Then, 2 × 4 = 8. Finally, 7 - 8 = -1.
Correct Answer:
C
— 5
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Q. Calculate: 8 × 3 - (6 ÷ 2) + 4.
Show solution
Solution
First, calculate 6 ÷ 2 = 3. Then, 8 × 3 = 24. Finally, 24 - 3 + 4 = 25.
Correct Answer:
B
— 20
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Showing 511 to 540 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!
