A's marks 25% more than B's, B's 20% less than C's. A gets 200, C's marks: MCQ with Answer and Explanation
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Question #1
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A man spends 70% of his salary and saves Rs. 6000. His salary is:
Correct Answer: Option C
Explanation:
Savings = 30% = 6000 → salary = 6000/0.3 = 20000.
Savings = 30% = 6000 → salary = 6000/0.3 = 20000.
This question belongs to:
Maths
Percentage
Question #2
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A boat goes 16 km upstream and 24 km downstream in 6 hours. It also goes 12 km upstream and 36 km downstream in the same time. Find the speed of the boat in still water.
Correct Answer: Option B
Explanation:
Let speed in still water = x, stream = y. 16/(x-y) + 24/(x+y) = 6; 12/(x-y) + 36/(x+y) = 6. Let 1/(x-y)=a, 1/(x+y)=b. 16a+24b=6, 12a+36b=6. Solving: a=1/4, b=1/12. So x-y=4, x+y=12 → x=8, y=4. Wait, x=8, not 10. I miscalculated: 16a+24b=6, divide by 2: 8a+12b=3. 12a+36b=6 → 2a+6b=1. From 2a+6b=1 → a=(1-6b)/2. Substitute: 8*(1-6b)/2 +12b = 4(1-6b)+12b = 4-24b+12b = 4-12b = 3 → b=1/12. Then a = (1-6/12)/2 = (1-0.5)/2 = 0.25 = 1/4. So x-y=4, x+y=12 → x=8. So answer 8 kmph. Option B 8 kmph. I'll correct options.
Let speed in still water = x, stream = y. 16/(x-y) + 24/(x+y) = 6; 12/(x-y) + 36/(x+y) = 6. Let 1/(x-y)=a, 1/(x+y)=b. 16a+24b=6, 12a+36b=6. Solving: a=1/4, b=1/12. So x-y=4, x+y=12 → x=8, y=4. Wait, x=8, not 10. I miscalculated: 16a+24b=6, divide by 2: 8a+12b=3. 12a+36b=6 → 2a+6b=1. From 2a+6b=1 → a=(1-6b)/2. Substitute: 8*(1-6b)/2 +12b = 4(1-6b)+12b = 4-24b+12b = 4-12b = 3 → b=1/12. Then a = (1-6/12)/2 = (1-0.5)/2 = 0.25 = 1/4. So x-y=4, x+y=12 → x=8. So answer 8 kmph. Option B 8 kmph. I'll correct options.
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Maths
Percentage
Question #3
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What percentage of 50 is 20?
Correct Answer: Option D
Explanation:
(20 / 50) * 100 = 40%.
(20 / 50) * 100 = 40%.
This question belongs to:
Maths
Percentage
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