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The MCQs below are drawn from the Mathematics subject category.
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7391
In an election between 2 candidates, the winner gets 55% of valid votes and wins by 200 votes. What are the total valid votes?
A. 1500
B. 2000
C. 2500
D. 3000
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Explanation
Winner gets 55%, loser gets 45%. Difference = 10%. 10% of total votes = 200. Total votes = 200 / 0.10 = 2000.
7392
An engineering student has to secure 45% to pass. He gets 54 marks and fails by 36 marks. Find the maximum marks.
A. 150
B. 180
C. 200
D. 250
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Explanation
Passing marks = 54 + 36 = 90. So, 45% of maximum marks = 90. Max marks = 90 / 0.45 = 200.
7393
A scored 30% marks and failed by 15 marks. B scored 40% marks and obtained 35 marks more than required to pass. The pass percentage is?
A. 33%
B. 35%
C. 38%
D. 40%
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Explanation
Difference in % = 10%. Difference in marks = 35 - (-15) = 50. Total marks = 500. Pass marks = 30% of 500 + 15 = 150 + 15 = 165. Pass percentage = (165/500)*100 = 33%.
7394
In an examination, 80% candidates passed in English and 85% in Mathematics. If 73% passed in both, what % failed in both?
A. 5%
B. 8%
C. 10%
D. 12%
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Explanation
Passed in at least one subject = Pass Eng + Pass Math - Pass Both = 80 + 85 - 73 = 92%. Failed in both = 100% - 92% = 8%.
7395
To pass an examination, a student needs 33% marks. He gets 220 marks and fails by 11 marks. Find total marks.
A. 600
B. 700
C. 800
D. 900
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Explanation
Passing marks = 220 + 11 = 231. We know 33% of Total = 231. Total = 231 / 0.33 = 700.
7396
In an examination, 60% of students passed in Math, 70% in Science, and 10% failed in both. If 300 passed in both, what is the total number of students?
A. 600
B. 750
C. 800
D. 1000
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Explanation
Let total be 100%. Passed in at least one = 100% - 10% (fail both) = 90%. Passed in both = (Pass Math + Pass Science) - Pass at least one = 60 + 70 - 90 = 40%. Given 40% = 300, so 100% = (300/40) * 100 = 750.
7397
In a test, A scored 10% more than B and B scored 5% more than C. If C scored 400 out of 500, what are A's marks?
A. 450
B. 462
C. 472
D. 480
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Explanation
C = 400. B scored 5% more than C = 400 + (5% of 400) = 400 + 20 = 420. A scored 10% more than B = 420 + (10% of 420) = 420 + 42 = 462.
7398
A candidate scores 25% and fails by 30 marks, while another scores 50% and gets 20 marks more than the minimum pass marks. Find the maximum marks.
A. 150
B. 200
C. 250
D. 300
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Explanation
Difference in % = 50% - 25% = 25%. Difference in marks = 20 - (-30) = 50. So, 25% of total = 50. Total = 50 / 0.25 = 200.
7399
In an exam, 35% students failed in Hindi, 45% failed in English, and 20% failed in both. What percentage passed in both?
A. 30%
B. 35%
C. 40%
D. 45%
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Explanation
Total failed = Failed in Hindi + Failed in English - Failed in both = 35 + 45 - 20 = 60%. Passed in both = 100% - 60% = 40%.
7400
A student gets 30% marks and fails by 15 marks. Another gets 40% and passes by 15 marks. What are the passing marks?
A. 90
B. 105
C. 120
D. 150
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Explanation
Difference in percentage = 40% - 30% = 10%. Difference in marks = 15 - (-15) = 30. So, 10% of total = 30. Total = 300. Passing marks = 30% of 300 + 15 = 90 + 15 = 105.