Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
141
In an election, 15% votes were invalid. The winner got 55% of the total valid votes and secured 8250 votes. What was the total number of votes cast?
Answer:
17647
55% of valid votes = 8250. Valid votes = 8250 / 0.55 = 15000. Since 15% were invalid, valid votes are 85% of total. Total votes = 15000 / 0.85 = 17647.05. (Approximation based on standard options, if 85% of total = 15000, exact is 17647).
142
Two candidates fought an election. One got 52% of votes and won by 1200 votes. How many votes did the loser get?
Answer:
14400
Winner = 52%, Loser = 48%. Difference = 4%. 4% of total = 1200. Total = 30000. Loser's votes = 48% of 30000 = 14400.
143
A candidate gets 65% of the votes and wins by 2700 votes. Find the total votes polled.
Answer:
9000
Winner = 65%, Loser = 35%. Difference = 30%. 30% of total = 2700. Total votes = 2700 / 0.30 = 9000.
144
In an election, candidate A got 30% of total votes. Candidate B got 60% of total votes. The remaining 2000 votes went to C. What were the total votes?
Answer:
20000
A and B got 30% + 60% = 90% of total votes. C got the remaining 10%. So, 10% of total = 2000. Total votes = 2000 / 0.10 = 20000.
145
Two candidates contested. One got 60% of the votes and was elected by a majority of 14,000 votes. The number of votes won by the winning candidate is?
Answer:
42000
Winner gets 60%, loser gets 40%. Difference = 20%. 20% of total = 14000. Total = 70000. Winning candidate's votes = 60% of 70000 = 42000.
146
8% of voters in an election did not cast their votes. The winner obtained 48% of the total voters on the voter list and defeated his opponent by 1100 votes. Total voters on list?
Answer:
27500
Votes cast = 92% of total. Winner got 48% of total. Loser got 92% - 48% = 44% of total. Difference = 4% of total = 1100. Total voters = 1100 / 0.04 = 27500.
147
In an election, 20% votes were invalid. Winner got 70% of valid votes and won by 3200 votes. Find the total votes cast.
Answer:
10000
Winner got 70% of valid votes, loser got 30%. Difference = 40% of valid votes = 3200. Valid votes = 3200 / 0.40 = 8000. Since 20% were invalid, valid votes represent 80% of total. Total votes = 8000 / 0.80 = 10000.
148
10% of voters did not cast their vote. A candidate got 60% of votes cast and won by 180 votes. Find the total number of voters.
Answer:
1000
Let votes cast be V. Winner = 60%, loser = 40% of V. Difference = 20% of V = 180. V = 900. Since V is 90% of total voters, Total = 900 / 0.90 = 1000.
149
In an election, a candidate got 40% of the total votes and lost by 300 votes. Find the total votes cast.
Answer:
1500
Loser got 40%, winner got 60%. Difference = 20%. 20% of total votes = 300. Total votes = 300 / 0.20 = 1500.
150
In an election between 2 candidates, the winner gets 55% of valid votes and wins by 200 votes. What are the total valid votes?
Answer:
2000
Winner gets 55%, loser gets 45%. Difference = 10%. 10% of total votes = 200. Total votes = 200 / 0.10 = 2000.