Q. A train travels from City X to City Y at a speed of 90 km/h and returns at a speed of 60 km/h. What is the average speed for the entire journey?
A.
72 km/h
B.
75 km/h
C.
78 km/h
D.
80 km/h
Show solution
Solution
Average speed = 2ab / (a + b) = 2 × 90 × 60 / (90 + 60) = 72 km/h.
Correct Answer:
A
— 72 km/h
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Q. A train travels from City X to City Y at a speed of 90 km/h. If the distance is 270 km, how long does the journey take?
A.
2 hours
B.
2.5 hours
C.
3 hours
D.
3.5 hours
Show solution
Solution
Time = Distance / Speed = 270 km / 90 km/h = 3 hours.
Correct Answer:
C
— 3 hours
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Q. A tree casts a shadow of 15 meters when the angle of elevation of the sun is 30 degrees. What is the height of the tree?
A.
5√3 meters
B.
15 meters
C.
10 meters
D.
7.5 meters
Show solution
Solution
Using the tangent function, tan(30) = height / 15. Therefore, height = 15 * tan(30) = 15 * (1/√3) = 5√3 meters.
Correct Answer:
A
— 5√3 meters
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Q. A triangle has a base of 8 cm and a height of 5 cm. What is its area?
A.
20 cm²
B.
30 cm²
C.
40 cm²
D.
50 cm²
Show solution
Solution
Area = 1/2 × base × height = 1/2 × 8 cm × 5 cm = 20 cm².
Correct Answer:
A
— 20 cm²
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Q. A triangle has an area of 24 m² and a base of 8 m. What is the height?
A.
6 m
B.
8 m
C.
4 m
D.
3 m
Show solution
Solution
Area = (base × height) / 2, so height = (2 × Area) / base = (2 × 24 m²) / 8 m = 6 m.
Correct Answer:
A
— 6 m
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Q. A triangle has an area of 36 m² and a base of 12 m. What is the height?
A.
4 m
B.
6 m
C.
8 m
D.
10 m
Show solution
Solution
Area = (base × height) / 2, so height = (2 × Area) / base = (2 × 36 m²) / 12 m = 6 m.
Correct Answer:
B
— 6 m
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Q. A triangle has an area of 48 m² and a base of 16 m. What is the height?
A.
4 m
B.
6 m
C.
8 m
D.
10 m
Show solution
Solution
Area = (base × height) / 2. Therefore, height = (2 × Area) / base = (2 × 48 m²) / 16 m = 6 m.
Correct Answer:
C
— 8 m
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Q. A triangle has an area of 50 m² and a base of 10 m. What is the height?
A.
5 m
B.
10 m
C.
15 m
D.
20 m
Show solution
Solution
Area = (base × height) / 2, so height = (2 × Area) / base = (2 × 50 m²) / 10 m = 10 m.
Correct Answer:
A
— 5 m
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Q. A triangle has angles measuring 30°, 60°, and 90°. If the shortest side is 5, what is the length of the hypotenuse?
A.
5
B.
10
C.
7.5
D.
8.66
Show solution
Solution
In a 30-60-90 triangle, the hypotenuse is twice the shortest side. Therefore, hypotenuse = 2 * 5 = 10.
Correct Answer:
B
— 10
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Q. A triangle has sides of lengths 5 cm, 12 cm, and 13 cm. What is its area?
A.
30 cm²
B.
60 cm²
C.
40 cm²
D.
50 cm²
Show solution
Solution
This is a right triangle. Area = (base × height) / 2 = (5 cm × 12 cm) / 2 = 30 cm².
Correct Answer:
A
— 30 cm²
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Q. A triangle has sides of lengths 6 cm, 8 cm, and 10 cm. What is its area?
A.
24 cm²
B.
30 cm²
C.
36 cm²
D.
40 cm²
Show solution
Solution
Using Heron's formula, s = (6 + 8 + 10) / 2 = 12 cm. Area = √[s(s-a)(s-b)(s-c)] = √[12(12-6)(12-8)(12-10)] = √[12 × 6 × 4 × 2] = √[576] = 24 cm².
Correct Answer:
B
— 30 cm²
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Q. A triangle has sides of lengths 7, 24, and 25. Is this triangle a right triangle?
A.
Yes
B.
No
C.
Cannot be determined
D.
Only if angles are known
Show solution
Solution
Using the Pythagorean theorem, check if 25² = 7² + 24². 625 = 49 + 576, which is true. Thus, it is a right triangle.
Correct Answer:
A
— Yes
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Q. A watch is marked at $250. If it is sold for $200, what is the discount percentage?
A.
15%
B.
20%
C.
25%
D.
30%
Show solution
Solution
Discount = 250 - 200 = 50. Percentage Discount = (50/250) * 100 = 20%.
Correct Answer:
B
— 20%
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Q. A, B, and C invest in a business in the ratio 1:2:3. If the total profit is $120,000, how much does C receive?
A.
$30,000
B.
$40,000
C.
$50,000
D.
$60,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. C's share = (3/6) * 120000 = $60,000.
Correct Answer:
D
— $60,000
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Q. A, B, and C invest in a business in the ratio 4:5:6. If the total profit is $150,000, how much does B receive?
A.
$50,000
B.
$60,000
C.
$70,000
D.
$80,000
Show solution
Solution
Total parts = 4 + 5 + 6 = 15. B's share = (5/15) * 150000 = $50,000.
Correct Answer:
B
— $60,000
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Q. A, B, and C invest in a business in the ratio 4:5:6. If the total profit is $1500, how much does B receive?
A.
$500
B.
$600
C.
$700
D.
$800
Show solution
Solution
Total parts = 4 + 5 + 6 = 15. B's share = (5/15) * 1500 = $500.
Correct Answer:
B
— $600
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Q. A, B, and C invest in a business in the ratio of 1:1:2. If the total profit is $80,000, how much does A receive?
A.
$10,000
B.
$20,000
C.
$30,000
D.
$40,000
Show solution
Solution
A's share = (A's ratio / Total ratio) * Total profit = (1 / 4) * 80000 = $20,000.
Correct Answer:
B
— $20,000
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Q. A, B, and C invest in a business in the ratio of 1:2:3. If the total profit is $6000, how much does B receive?
A.
$1000
B.
$2000
C.
$3000
D.
$4000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. B's share = (2/6) * 6000 = $2000.
Correct Answer:
B
— $2000
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Q. A, B, and C invest in a business in the ratio of 1:2:3. If the total profit is $120,000, how much does B receive?
A.
$20,000
B.
$30,000
C.
$40,000
D.
$50,000
Show solution
Solution
Total parts = 1 + 2 + 3 = 6. B's share = (2/6) * 120000 = $40,000.
Correct Answer:
C
— $40,000
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Q. A, B, and C invest in a business in the ratio of 2:3:5. If the total profit is $100,000, how much does C receive?
A.
$50,000
B.
$40,000
C.
$30,000
D.
$20,000
Show solution
Solution
Total parts = 2 + 3 + 5 = 10. C's share = (5/10) * 100000 = $50,000.
Correct Answer:
A
— $50,000
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Q. A, B, and C invest in a business in the ratio of 2:3:5. If the total profit is $100,000, how much does B receive?
A.
$20,000
B.
$30,000
C.
$40,000
D.
$50,000
Show solution
Solution
B's share = (B's ratio / Total ratio) * Total profit = (3 / 10) * 100000 = $30,000.
Correct Answer:
B
— $30,000
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Q. A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $24,000, how much does C receive?
A.
$8,000
B.
$10,000
C.
$12,000
D.
$14,000
Show solution
Solution
Total parts = 3 + 4 + 5 = 12. C's share = (5/12) * 24000 = $10,000.
Correct Answer:
C
— $12,000
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Q. A, B, and C invest in a business in the ratio of 3:4:5. If the total profit is $240,000, how much does C receive?
A.
$80,000
B.
$100,000
C.
$120,000
D.
$60,000
Show solution
Solution
Total parts = 3 + 4 + 5 = 12. C's share = (5/12) * 240000 = $100,000.
Correct Answer:
B
— $100,000
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Q. A, B, and C invest in a business with A investing $10,000, B $20,000, and C $30,000. If the total profit is $90,000, what is B's share?
A.
$30,000
B.
$20,000
C.
$15,000
D.
$25,000
Show solution
Solution
B's share = (B's investment / Total investment) * Total profit = (20000 / 60000) * 90000 = $30,000.
Correct Answer:
A
— $30,000
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Q. A, B, and C invest in a business with A investing $5,000, B $10,000, and C $15,000. If the total profit is $60,000, what is A's share?
A.
$10,000
B.
$15,000
C.
$5,000
D.
$20,000
Show solution
Solution
A's share = (A's investment / Total investment) * Total profit = (5000 / 30000) * 60000 = $10,000.
Correct Answer:
C
— $5,000
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Q. A, B, and C invest in a business with investments of $5,000, $10,000, and $15,000 respectively. If the total profit is $60,000, how much does C receive?
A.
$20,000
B.
$25,000
C.
$30,000
D.
$15,000
Show solution
Solution
Total investment = 5,000 + 10,000 + 15,000 = 30,000. C's share = (15,000/30,000) * 60,000 = $30,000.
Correct Answer:
C
— $30,000
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Q. According to the bar graph comparing the heights of five plants after one month, which plant was the tallest?
A.
Plant A
B.
Plant B
C.
Plant C
D.
Plant D
Show solution
Solution
Plant D was the tallest at 15 cm after one month as per the bar graph.
Correct Answer:
D
— Plant D
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Q. According to the bar graph comparing the heights of five plants over a month, which plant grew the most?
A.
Plant A
B.
Plant B
C.
Plant C
D.
Plant D
Show solution
Solution
Plant C grew the most, reaching a height of 40 cm.
Correct Answer:
C
— Plant C
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Q. According to the bar graph comparing the sales of two products (X and Y) over five months, what was the sales figure for Product X in April?
A.
300
B.
350
C.
400
D.
450
Show solution
Solution
Product X had sales of 400 units in April as per the bar graph.
Correct Answer:
C
— 400
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Q. According to the bar graph displaying the number of products sold by four stores (P, Q, R, S), which store sold the most products?
A.
Store P
B.
Store Q
C.
Store R
D.
Store S
Show solution
Solution
Store S sold the most products with a total of 300 units.
Correct Answer:
D
— Store S
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Showing 451 to 480 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!
