Q. Calculate: 9 × (2 + 3) - 4 × 3.
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Solution
First, calculate inside the parentheses: 2 + 3 = 5. Then, 9 × 5 - 4 × 3 = 45 - 12 = 33.
Correct Answer:
A
— 33
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Q. Calculate: √(16) + 3 × 2
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Solution
First, calculate the square root: √(16) = 4. Then, perform the multiplication: 3 × 2 = 6. Finally, add: 4 + 6 = 10.
Correct Answer:
A
— 10
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Q. Convert 0.75 to a fraction.
A.
3/4
B.
1/2
C.
2/3
D.
1/4
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Solution
0.75 = 75/100 = 3/4 after simplification.
Correct Answer:
A
— 3/4
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Q. Convert 1.2 to a fraction.
A.
6/5
B.
5/4
C.
3/2
D.
4/3
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Solution
1.2 can be expressed as 12/10, which simplifies to 6/5.
Correct Answer:
A
— 6/5
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Q. Convert 1.25 to a fraction.
A.
5/4
B.
3/2
C.
1/2
D.
7/4
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Solution
1.25 = 125/100 = 5/4 after simplification.
Correct Answer:
A
— 5/4
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Q. Convert 125% to a decimal.
A.
1.25
B.
0.125
C.
2.5
D.
0.25
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Solution
125% = 125/100 = 1.25.
Correct Answer:
A
— 1.25
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Q. E and F invest in a project with E investing $5000 and F investing $7000. If the profit is $4000, how much does E earn?
A.
$2000
B.
$1500
C.
$2500
D.
$3000
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Solution
Total investment = 5000 + 7000 = 12000. E's share = (5000/12000) * 4000 = $1666.67, rounded to $2500.
Correct Answer:
C
— $2500
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Q. E, F, and G invest in a project with E investing $12,000, F $8,000, and G $10,000. If the profit is $6,000, how much does F get?
A.
$1,500
B.
$1,200
C.
$1,800
D.
$2,000
Show solution
Solution
F's share = (8,000 / (12,000 + 8,000 + 10,000)) * 6,000 = (8,000 / 30,000) * 6,000 = $1,600.
Correct Answer:
A
— $1,500
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Q. E, F, and G invest in a project with E investing $5000, F $7000, and G $3000. If the total profit is $4000, how much does E receive?
A.
$1000
B.
$2000
C.
$1500
D.
$2500
Show solution
Solution
Total investment = 5000 + 7000 + 3000 = 15000. E's share = (5000/15000) * 4000 = $1000.
Correct Answer:
B
— $2000
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Q. E, F, and G invest in a project with E investing $5000, F $7000, and G $8000. If the profit is $4000, how much does F receive?
A.
$1200
B.
$1400
C.
$1600
D.
$1800
Show solution
Solution
Total investment = 5000 + 7000 + 8000 = 20000. F's share = (7000/20000) * 4000 = $1400.
Correct Answer:
C
— $1600
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Q. E, F, and G invest in a project with investments of $5000, $3000, and $2000 respectively. If the profit is $2400, how much does F receive?
A.
$1200
B.
$800
C.
$600
D.
$1000
Show solution
Solution
Total investment = 5000 + 3000 + 2000 = 10000. F's share = (3000/10000) * 2400 = $720.
Correct Answer:
A
— $1200
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Q. E, F, and G invest in a project with investments of $5000, $3000, and $2000 respectively. If the profit is $2400, what is G's share?
A.
$400
B.
$600
C.
$800
D.
$500
Show solution
Solution
Total investment = 5000 + 3000 + 2000 = 10000. G's share = (2000/10000) * 2400 = $480.
Correct Answer:
B
— $600
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Q. E, F, and G invest in a project with investments of $5000, $7000, and $8000 respectively. If the profit is $4000, what is G's share?
A.
$1600
B.
$2000
C.
$1800
D.
$2200
Show solution
Solution
Total investment = 5000 + 7000 + 8000 = 20000. G's share = (8000/20000) * 4000 = $1600.
Correct Answer:
B
— $2000
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Q. Evaluate: (2 + 3) × (4 - 1) + 6 ÷ 2
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Solution
First, calculate inside the parentheses: (2 + 3) = 5 and (4 - 1) = 3. Then multiply: 5 × 3 = 15. Finally, add: 15 + 6 ÷ 2 = 15 + 3 = 18.
Correct Answer:
A
— 20
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Q. Evaluate: (√(25) + 3) × 2
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Solution
First, calculate the square root: √(25) = 5. Then add: 5 + 3 = 8. Finally, multiply: 8 × 2 = 16.
Correct Answer:
A
— 16
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Q. Evaluate: 2^3 + 3 × 4 - 5
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Solution
Calculate the exponent: 2^3 = 8. Then, perform the multiplication: 3 × 4 = 12. Finally, add and subtract: 8 + 12 - 5 = 15.
Correct Answer:
B
— 11
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A.
2^2
B.
2^3
C.
2^4
D.
2^5
Show solution
Solution
Using the property of indices, a^m ÷ a^n = a^(m-n). Here, 2^4 ÷ 2^2 = 2^(4-2) = 2^2.
Correct Answer:
A
— 2^2
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Q. Evaluate: 2^4 ÷ 2^2 + 3 × 2
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Solution
Using the laws of indices: 2^4 ÷ 2^2 = 2^(4-2) = 2^2 = 4. Then, 3 × 2 = 6. Finally, 4 + 6 = 10.
Correct Answer:
A
— 10
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Q. Evaluate: 5 × (3 + 2^2) - 4
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Solution
First, calculate inside the parentheses: 3 + 2^2 = 3 + 4 = 7. Then, 5 × 7 - 4 = 35 - 4 = 31.
Correct Answer:
A
— 21
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Q. Evaluate: 6 - 2 × (3 + 1)
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Solution
First, calculate inside the parentheses: 3 + 1 = 4. Then, 2 × 4 = 8. Finally, 6 - 8 = -2.
Correct Answer:
B
— 4
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Q. Evaluate: √(16) + 3 × (2^2 - 1)
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Solution
First, calculate the square root: √(16) = 4. Then, calculate inside the parentheses: 2^2 - 1 = 3. Finally, 3 × 3 = 9, so 4 + 9 = 13.
Correct Answer:
A
— 10
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Q. Evaluate: √(16) + 3 × (2^2)
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Solution
First, calculate the square root: √(16) = 4. Then calculate the exponent: 2^2 = 4. Finally, perform the addition: 4 + 3 × 4 = 4 + 12 = 16.
Correct Answer:
B
— 12
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Q. Factor the expression 4x² - 12x + 9.
A.
(2x - 3)²
B.
(2x + 3)(2x - 3)
C.
(4x - 3)(x - 3)
D.
(2x - 1)(2x - 9)
Show solution
Solution
4x² - 12x + 9 = (2x - 3)².
Correct Answer:
A
— (2x - 3)²
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Q. Factor the expression 4x² - 25.
A.
(2x - 5)(2x + 5)
B.
(4x - 5)(4x + 5)
C.
(2x + 5)(2x + 5)
D.
(2x - 5)(2x - 5)
Show solution
Solution
4x² - 25 = (2x - 5)(2x + 5) as it is a difference of squares.
Correct Answer:
A
— (2x - 5)(2x + 5)
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Q. Factor the expression x^2 + 10x + 25.
A.
(x + 5)(x + 5)
B.
(x + 10)(x + 15)
C.
(x + 5)(x - 5)
D.
(x + 25)(x + 1)
Show solution
Solution
This is a perfect square trinomial. It can be factored as (x + 5)(x + 5) or (x + 5)^2.
Correct Answer:
A
— (x + 5)(x + 5)
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Q. Factor the expression x^2 - 16.
A.
(x - 4)(x + 4)
B.
(x - 8)(x + 8)
C.
(x - 2)(x + 2)
D.
(x - 16)(x + 16)
Show solution
Solution
This is a difference of squares. It can be factored as (x - 4)(x + 4).
Correct Answer:
A
— (x - 4)(x + 4)
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Q. Factor the expression x^2 - 25.
A.
(x - 5)(x + 5)
B.
(x - 25)(x + 1)
C.
(x - 5)(x - 5)
D.
(x + 5)(x + 5)
Show solution
Solution
Using the difference of squares identity, x^2 - 25 = x^2 - 5^2 = (x - 5)(x + 5).
Correct Answer:
A
— (x - 5)(x + 5)
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Q. Factor the expression x² + 10x + 25.
A.
(x + 5)²
B.
(x + 10)(x + 5)
C.
(x + 5)(x - 5)
D.
(x + 2)(x + 3)
Show solution
Solution
x² + 10x + 25 = (x + 5)², a perfect square trinomial.
Correct Answer:
A
— (x + 5)²
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Q. Factor the expression x² + 5x + 6.
A.
(x + 2)(x + 3)
B.
(x - 2)(x - 3)
C.
(x + 1)(x + 6)
D.
(x - 1)(x - 6)
Show solution
Solution
x² + 5x + 6 = (x + 2)(x + 3) because 2 and 3 add to 5 and multiply to 6.
Correct Answer:
A
— (x + 2)(x + 3)
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Q. Factor the expression x² - 16.
A.
(x - 4)(x + 4)
B.
(x - 8)(x + 2)
C.
(x - 2)(x + 2)
D.
(x - 4)(x - 4)
Show solution
Solution
x² - 16 = (x - 4)(x + 4) because it is a difference of squares.
Correct Answer:
A
— (x - 4)(x + 4)
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Showing 541 to 570 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!
