Q. If 7 workers can complete a job in 14 days, how many workers are needed to complete the job in 7 days?
A.
10 workers
B.
12 workers
C.
14 workers
D.
16 workers
Show solution
Solution
7 workers * 14 days = 98 worker-days. For 7 days, needed = 98 / 7 = 14 workers.
Correct Answer:
C
— 14 workers
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Q. If 8 liters of a mixture contains 25% sugar, how much sugar is in the mixture?
A.
1 liter
B.
2 liters
C.
3 liters
D.
4 liters
Show solution
Solution
Sugar in the mixture = 25% of 8L = 0.25 * 8 = 2L.
Correct Answer:
B
— 2 liters
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Q. If 8 liters of paint can cover 100 square meters, how many liters are needed to cover 250 square meters?
A.
15 liters
B.
16 liters
C.
20 liters
D.
25 liters
Show solution
Solution
8 liters cover 100 square meters, so for 250 square meters, (250/100) * 8 = 20 liters.
Correct Answer:
C
— 20 liters
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Q. If 8 people can complete a project in 12 days, how many people are needed to complete the project in 6 days?
A.
12 people
B.
16 people
C.
20 people
D.
24 people
Show solution
Solution
If 8 people take 12 days, then the total work is 8 * 12 = 96 person-days. To complete in 6 days, needed people = 96 / 6 = 16 people.
Correct Answer:
B
— 16 people
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Q. If 8 people can finish a project in 12 days, how many people are needed to finish the project in 6 days?
A.
12 people
B.
16 people
C.
20 people
D.
24 people
Show solution
Solution
Work done = People * Days. 8 * 12 = 96 person-days. To finish in 6 days, needed = 96 / 6 = 16 people.
Correct Answer:
B
— 16 people
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Q. If 8 workers can build a wall in 12 days, how many days will it take for 4 workers to build the same wall?
A.
24 days
B.
30 days
C.
36 days
D.
48 days
Show solution
Solution
If 8 workers take 12 days, then 4 workers will take 12 * (8/4) = 24 days.
Correct Answer:
C
— 36 days
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Q. If 8 workers can build a wall in 15 days, how many days will it take for 4 workers to build the same wall?
A.
30 days
B.
35 days
C.
40 days
D.
45 days
Show solution
Solution
8 workers take 15 days, so total work = 8 * 15 = 120 worker-days. For 4 workers, days = 120 / 4 = 30 days.
Correct Answer:
C
— 40 days
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Q. If 8 workers can complete a job in 12 days, how many days will it take for 4 workers to complete the same job?
A.
24 days
B.
30 days
C.
36 days
D.
48 days
Show solution
Solution
If 8 workers take 12 days, then 4 workers will take 12 * (8/4) = 24 days.
Correct Answer:
C
— 36 days
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Q. If 8b + 16 = 48, what is the value of b? (2023)
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Solution
8b + 16 = 48 => 8b = 32 => b = 4.
Correct Answer:
A
— 4
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Q. If 9x + 4y = 36 and 2x + 3y = 12, what is the value of y?
Show solution
Solution
From the second equation, 3y = 12 - 2x. Substituting into the first gives 9x + 4(12 - 2x)/3 = 36. Solving gives y = 3.
Correct Answer:
B
— 3
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Q. If 9x + 4y = 50 and 2x - 3y = -1, what is the value of x?
Show solution
Solution
From the second equation, 2x = -1 + 3y, so x = (-1 + 3y)/2. Substituting into the first gives 9((-1 + 3y)/2) + 4y = 50. Solving leads to x = 2.
Correct Answer:
A
— 2
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Q. If A > B and B > C, which of the following is true?
A.
A > C
B.
C > A
C.
B < A
D.
C < B
Show solution
Solution
If A > B and B > C, then by transitive property, A > C is true.
Correct Answer:
A
— A > C
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Q. If a < 5 and b > 2, which of the following must be true?
A.
a + b < 7
B.
a - b < 3
C.
a * b < 10
D.
a / b < 3
Show solution
Solution
Since a < 5 and b > 2, a / b can be less than 3 if a is close to 5 and b is just above 2. The other options do not hold true in all cases.
Correct Answer:
D
— a / b < 3
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Q. If A < B and B ≤ C, which of the following is true?
A.
A < C
B.
C < A
C.
B < A
D.
C = B
Show solution
Solution
Since A < B and B ≤ C, it follows that A < C.
Correct Answer:
A
— A < C
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Q. If a = 3, what is the value of (a + 2)²?
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Solution
(a + 2)² = (3 + 2)² = 5² = 25
Correct Answer:
A
— 25
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Q. If A and B invest $10,000 and $15,000 respectively, and C joins later with $25,000, what is the profit-sharing ratio after C joins?
A.
2:3:5
B.
2:5:3
C.
3:2:5
D.
5:3:2
Show solution
Solution
Total investment = 10000 + 15000 + 25000 = 50000. Ratio = 10000:15000:25000 = 2:3:5.
Correct Answer:
A
— 2:3:5
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Q. If A and B invest in a business in the ratio 3:4 and A's profit is $900, what is B's profit?
A.
$1200
B.
$1000
C.
$800
D.
$600
Show solution
Solution
The profit ratio is the same as the investment ratio. If A's profit is $900, then B's profit = (4/3) * 900 = $1200.
Correct Answer:
A
— $1200
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Q. If A and B invest in a business in the ratio of 3:4 and the total profit is $70,000, how much does B receive?
A.
$30,000
B.
$40,000
C.
$50,000
D.
$20,000
Show solution
Solution
B's share = (B's ratio / Total ratio) * Total profit = (4 / 7) * 70000 = $40,000.
Correct Answer:
B
— $40,000
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Q. If A and B invest in a business in the ratio of 3:4 and the total profit is $90,000, what is A's share?
A.
$30,000
B.
$36,000
C.
$40,000
D.
$45,000
Show solution
Solution
A's share = (A's ratio / Total ratio) * Total profit = (3 / 7) * 90000 = $38,571.43.
Correct Answer:
B
— $36,000
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Q. If A and B invest in a business with A investing $12,000 and B investing $18,000, what is the profit share of A if the total profit is $90,000?
A.
$36,000
B.
$30,000
C.
$54,000
D.
$24,000
Show solution
Solution
Total investment = 12000 + 18000 = 30000. A's share = (12000 / 30000) * 90000 = $36,000.
Correct Answer:
B
— $30,000
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Q. If A and B invest in a business with A investing $40,000 and B investing $60,000, and they agree to share profits equally, how much profit will A receive if the total profit is $20,000?
A.
$10,000
B.
$8,000
C.
$12,000
D.
$6,000
Show solution
Solution
Since they share profits equally, A's share = 20000 / 2 = $10,000.
Correct Answer:
A
— $10,000
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Q. If a boat can travel 20 km upstream in 5 hours, what is the speed of the boat in still water if the current is 2 km/h?
A.
4 km/h
B.
6 km/h
C.
8 km/h
D.
10 km/h
Show solution
Solution
Speed upstream = Distance/Time = 20 km / 5 hours = 4 km/h. Speed in still water = Speed upstream + Speed of current = 4 km/h + 2 km/h = 6 km/h.
Correct Answer:
B
— 6 km/h
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Q. If a boat can travel 50 km downstream in 2 hours, what is the speed of the current if the speed of the boat in still water is 15 km/h?
A.
5 km/h
B.
10 km/h
C.
15 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = Distance/Time = 50 km / 2 hours = 25 km/h. Speed of current = Speed downstream - Speed in still water = 25 km/h - 15 km/h = 10 km/h.
Correct Answer:
A
— 5 km/h
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Q. If a boat can travel 50 km upstream in 10 hours, what is the speed of the stream if the speed of the boat in still water is 15 km/h?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Speed upstream = 50 km / 10 h = 5 km/h. Speed of stream = Speed of boat - Speed upstream = 15 - 5 = 10 km/h.
Correct Answer:
A
— 1 km/h
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Q. If a boat can travel 50 km upstream in 5 hours, what is the speed of the stream if the speed of the boat in still water is 10 km/h?
A.
0 km/h
B.
2 km/h
C.
4 km/h
D.
6 km/h
Show solution
Solution
Speed upstream = Distance / Time = 50 / 5 = 10 km/h. Speed of stream = Speed of boat - Speed upstream = 10 - 10 = 0 km/h.
Correct Answer:
C
— 4 km/h
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Q. If a boat can travel 60 km downstream in 3 hours, what is the speed of the boat in still water if the speed of the stream is 5 km/h?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed downstream = Distance / Time = 60 / 3 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 5 = 15 km/h.
Correct Answer:
C
— 25 km/h
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Q. If a boat can travel 60 km downstream in 4 hours, and the speed of the current is 6 km/h, what is the speed of the boat in still water?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
21 km/h
Show solution
Solution
Speed downstream = 60 / 4 = 15 km/h. Speed in still water = Speed downstream - Speed of current = 15 - 6 = 9 km/h.
Correct Answer:
C
— 18 km/h
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Q. If a boat can travel 60 km upstream in 5 hours, what is the speed of the current if the speed of the boat in still water is 12 km/h?
A.
2 km/h
B.
4 km/h
C.
6 km/h
D.
8 km/h
Show solution
Solution
Speed upstream = 60 km / 5 h = 12 km/h. Speed of current = Speed in still water - Speed upstream = 12 km/h - 12 km/h = 0 km/h.
Correct Answer:
A
— 2 km/h
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Q. If a boat can travel 60 km upstream in 5 hours, what is the speed of the stream if the speed of the boat in still water is 15 km/h?
A.
3 km/h
B.
5 km/h
C.
7 km/h
D.
9 km/h
Show solution
Solution
Speed upstream = 60 / 5 = 12 km/h. Speed of stream = Speed of boat - Speed upstream = 15 - 12 = 3 km/h.
Correct Answer:
A
— 3 km/h
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Q. If a boat can travel 90 km upstream in 6 hours, what is the speed of the stream if the speed of the boat in still water is 15 km/h?
A.
0 km/h
B.
2.5 km/h
C.
5 km/h
D.
7.5 km/h
Show solution
Solution
Speed upstream = Distance / Time = 90 / 6 = 15 km/h. Speed of stream = Speed of boat - Speed upstream = 15 - 15 = 0 km/h.
Correct Answer:
C
— 5 km/h
Learn More →
Showing 721 to 750 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!
