Q. A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 5 km/h, what is the speed of the boat in still water?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed downstream = Distance / Time = 40 / 2 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 5 = 15 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel 40 km downstream in 2 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?
A.
12 km/h
B.
16 km/h
C.
20 km/h
D.
24 km/h
Show solution
Solution
Speed downstream = 40 / 2 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 8 = 12 km/h.
Correct Answer:
C
— 20 km/h
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Q. A boat can travel 48 km downstream in 2 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
20 km/h
B.
22 km/h
C.
24 km/h
D.
26 km/h
Show solution
Solution
Speed downstream = Distance / Time = 48 km / 2 h = 24 km/h. Speed of boat = Speed downstream - Speed of stream = 24 - 4 = 20 km/h.
Correct Answer:
C
— 24 km/h
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Q. A boat can travel 48 km downstream in 2 hours. What is the speed of the stream if the speed of the boat in still water is 20 km/h?
A.
4 km/h
B.
8 km/h
C.
12 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = Distance / Time = 48 / 2 = 24 km/h. Speed of stream = Speed downstream - Speed of boat = 24 - 20 = 4 km/h.
Correct Answer:
B
— 8 km/h
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Q. A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = 48 / 4 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.
Correct Answer:
C
— 12 km/h
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Q. A boat can travel 48 km downstream in 4 hours. If the speed of the stream is 6 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = 48 / 4 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 6 = 6 km/h.
Correct Answer:
C
— 14 km/h
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Q. A boat can travel 48 km downstream in 4 hours. What is the speed of the current if the speed of the boat in still water is 10 km/h?
A.
2 km/h
B.
4 km/h
C.
6 km/h
D.
8 km/h
Show solution
Solution
Speed downstream = Distance/Time = 48 km / 4 hours = 12 km/h. Speed of current = Speed downstream - Speed in still water = 12 km/h - 10 km/h = 2 km/h.
Correct Answer:
C
— 6 km/h
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Q. A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
16 km/h
B.
20 km/h
C.
24 km/h
D.
28 km/h
Show solution
Solution
Speed downstream = Distance / Time = 80 / 4 = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 4 = 16 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel 80 km downstream in 4 hours. If the speed of the stream is 8 km/h, what is the speed of the boat in still water?
A.
16 km/h
B.
20 km/h
C.
24 km/h
D.
28 km/h
Show solution
Solution
Speed downstream = 80 km / 4 h = 20 km/h. Speed of boat = Speed downstream - Speed of stream = 20 - 8 = 12 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel 80 km upstream in 10 hours. If the speed of the current is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = 80 / 10 = 8 km/h. Speed in still water = Speed upstream + Speed of current = 8 + 4 = 12 km/h.
Correct Answer:
B
— 10 km/h
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Q. A boat can travel at 15 km/h in still water. If it goes upstream against a current of 3 km/h, what is its speed upstream?
A.
10 km/h
B.
12 km/h
C.
15 km/h
D.
18 km/h
Show solution
Solution
Upstream speed = Speed in still water - Speed of current = 15 km/h - 3 km/h = 12 km/h.
Correct Answer:
A
— 10 km/h
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Q. A boat can travel at 15 km/h in still water. If it goes upstream against a current of 3 km/h, what is its effective speed?
A.
10 km/h
B.
12 km/h
C.
15 km/h
D.
18 km/h
Show solution
Solution
Effective speed upstream = Speed in still water - Speed of current = 15 km/h - 3 km/h = 12 km/h.
Correct Answer:
A
— 10 km/h
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Q. A boat can travel at 30 km/h in still water. If it goes upstream against a current of 6 km/h, what is its speed relative to the bank?
A.
24 km/h
B.
26 km/h
C.
30 km/h
D.
36 km/h
Show solution
Solution
Upstream speed = Speed in still water - Speed of current = 30 km/h - 6 km/h = 24 km/h.
Correct Answer:
A
— 24 km/h
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Q. A boat can travel at 30 km/h in still water. If it goes upstream against a current of 10 km/h, what is its speed relative to the bank?
A.
20 km/h
B.
25 km/h
C.
30 km/h
D.
35 km/h
Show solution
Solution
Upstream speed = Speed in still water - Speed of current = 30 km/h - 10 km/h = 20 km/h.
Correct Answer:
A
— 20 km/h
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Q. A boat can travel at a speed of 10 km/h in still water. If the speed of the current is 2 km/h, what is the speed of the boat upstream?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = Speed in still water - Speed of current = 10 - 2 = 8 km/h.
Correct Answer:
A
— 8 km/h
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Q. A boat can travel at a speed of 10 km/h in still water. If the speed of the stream is 2 km/h, what is the speed of the boat downstream?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 10 + 2 = 12 km/h.
Correct Answer:
C
— 12 km/h
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Q. A boat can travel at a speed of 15 km/h in still water. If it goes downstream, its speed increases by 5 km/h. What is its speed downstream?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed downstream = Speed in still water + Speed increase = 15 km/h + 5 km/h = 20 km/h.
Correct Answer:
B
— 20 km/h
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Q. A boat can travel at a speed of 15 km/h in still water. If the speed of the stream is 5 km/h, what is the speed of the boat downstream?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 15 + 5 = 20 km/h.
Correct Answer:
C
— 20 km/h
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Q. A boat can travel at a speed of 15 km/h in still water. If the speed of the stream is 3 km/h, what is the speed of the boat downstream?
A.
12 km/h
B.
15 km/h
C.
18 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = Speed of boat + Speed of stream = 15 + 3 = 18 km/h.
Correct Answer:
C
— 18 km/h
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Q. A boat can travel at a speed of 8 km/h in still water. If it takes 4 hours to travel upstream, how far can it go if the current is 2 km/h?
A.
16 km
B.
20 km
C.
24 km
D.
32 km
Show solution
Solution
Speed upstream = Speed in still water - Speed of current = 8 km/h - 2 km/h = 6 km/h. Distance = Speed × Time = 6 km/h × 4 hours = 24 km.
Correct Answer:
C
— 24 km
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Q. A boat takes 10 hours to go 40 km upstream and 8 hours to return downstream. What is the speed of the stream?
A.
1 km/h
B.
2 km/h
C.
3 km/h
D.
4 km/h
Show solution
Solution
Speed upstream = 40 km / 10 h = 4 km/h. Speed downstream = 40 km / 8 h = 5 km/h. Let speed of boat = x, then x - s = 4 and x + s = 5. Solving gives s = 1 km/h.
Correct Answer:
B
— 2 km/h
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Q. A boat takes 2 hours to go 20 km downstream and returns in 4 hours. What is the speed of the stream?
A.
2 km/h
B.
3 km/h
C.
4 km/h
D.
5 km/h
Show solution
Solution
Speed downstream = 20 / 2 = 10 km/h. Speed upstream = 20 / 4 = 5 km/h. Speed of stream = (10 - 5) / 2 = 2.5 km/h.
Correct Answer:
A
— 2 km/h
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Q. A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
12 km/h
C.
14 km/h
D.
16 km/h
Show solution
Solution
Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 2 = 10 km/h.
Correct Answer:
B
— 12 km/h
Learn More →
Q. A boat takes 2 hours to go 24 km downstream. If the speed of the stream is 4 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed downstream = Distance / Time = 24 / 2 = 12 km/h. Speed of boat = Speed downstream - Speed of stream = 12 - 4 = 8 km/h.
Correct Answer:
B
— 10 km/h
Learn More →
Q. A boat takes 3 hours to go 36 km upstream. If the speed of the current is 3 km/h, what is the speed of the boat in still water?
A.
9 km/h
B.
12 km/h
C.
15 km/h
D.
18 km/h
Show solution
Solution
Speed upstream = Distance/Time = 36 km / 3 hours = 12 km/h. Speed in still water = Speed upstream + Speed of current = 12 km/h + 3 km/h = 15 km/h.
Correct Answer:
B
— 12 km/h
Learn More →
Q. A boat takes 4 hours to go 40 km upstream. If the speed of the stream is 2 km/h, what is the speed of the boat in still water?
A.
8 km/h
B.
10 km/h
C.
12 km/h
D.
14 km/h
Show solution
Solution
Speed upstream = Distance / Time = 40 / 4 = 10 km/h. Speed of boat = Speed upstream + Speed of stream = 10 + 2 = 12 km/h.
Correct Answer:
B
— 10 km/h
Learn More →
Q. A boat takes 5 hours to travel 50 km upstream. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
A.
10 km/h
B.
15 km/h
C.
20 km/h
D.
25 km/h
Show solution
Solution
Speed upstream = 50 / 5 = 10 km/h. Speed in still water = Speed upstream + Speed of current = 10 + 5 = 15 km/h.
Correct Answer:
B
— 15 km/h
Learn More →
Q. A boat travels 100 km downstream in 10 hours. If the speed of the stream is 10 km/h, what is the speed of the boat in still water?
A.
5 km/h
B.
10 km/h
C.
15 km/h
D.
20 km/h
Show solution
Solution
Speed downstream = 100 km / 10 h = 10 km/h. Speed of boat = Speed downstream - Speed of stream = 10 - 10 = 0 km/h.
Correct Answer:
D
— 20 km/h
Learn More →
Q. A boat travels 100 km downstream in 5 hours. If the speed of the current is 5 km/h, what is the speed of the boat in still water?
A.
15 km/h
B.
20 km/h
C.
25 km/h
D.
30 km/h
Show solution
Solution
Speed downstream = 100 km / 5 h = 20 km/h. Speed of boat in still water = Speed downstream - Speed of current = 20 km/h - 5 km/h = 15 km/h.
Correct Answer:
C
— 25 km/h
Learn More →
Q. A boat travels 15 km upstream and 15 km downstream in a total time of 3 hours. If the speed of the stream is 3 km/h, what is the speed of the boat in still water?
A.
9 km/h
B.
10 km/h
C.
12 km/h
D.
15 km/h
Show solution
Solution
Let speed of boat = x km/h. Time upstream = 15 / (x - 3) and downstream = 15 / (x + 3). Total time = 15/(x-3) + 15/(x+3) = 3. Solving gives x = 9 km/h.
Correct Answer:
B
— 10 km/h
Learn More →
Showing 61 to 90 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!
