# Aptitude Percentage Test Paper 8

36) A candidate who scores 30% fails by 5 marks, while another candidate who scores 40% marks gets 10 more than minimum passing marks. The minimum marks required to pass are:

1. 50
2. 100
3. 45
4. 150

Explanation:
Let the total marks = x
Now, candidate A scores 30% of the total marks and fails by 5 marks and another candidate scores 40% of the total marks which is 10 more than the minimum passing marks.
So, (30/100)*x+5 = (40/100)*x - 10
(3/10)*x+5 = (4/10)*x -10
(3x+50)/10= (4x - 100)/10
3x + 50 = 4x - 100
x = 150
Marks of Candidate A= 30% of 150 = 45
Candidate A fails by 5 marks.
So, minimum passing marks = 45 + 5=50

37) 65% of a number is more than its 36% by 58. What is 23% of the total number?

1. 66
2. 23
3. 46
4. 58

Explanation:
The difference between 65% and 36% of the number = 29%
Also, the difference between 65% and 36% = 58
Now, 29% is equal to 58.
So, 1% = 58/29 = 2 %
Then, 100% = 200
Now, 23% of 200 = 46
Hence, the required number is 46.

38) In an election, 2 candidates participate in which the winner gets 60% of the total votes, and he wins the election by 2000 votes. Find the total number of votes in the election.

1. 3200
2. 6400
3. 10000
4. 13250

Explanation:
So, as per question, the winner gets 60 votes and the loser gets 40 votes.
Now, the difference between votes = 20, but ATQ, it is 2000.
So, we have to multiply 20 by 100 to make it equal to 2000.
So, 100 (the assumed total votes) are also required to be multiplied with 100.
Therefore, the total votes= 100 * 100= 10000.

39) In an election 2 candidates participate, 20% of the votes are declared invalid, and the winner gets 70% of the valid votes and wins the election by 3200 votes. Find the valid votes.

1. 10000
2. 8000
3. 5620
4. 12000

Explanation:
Then, 80 votes are valid only.
As per question, the winner gets = 80*(70/100) = 56 (valid votes),
So, the loser's votes = 80-56=24
Difference = 32, but ATQ, it is 3200
i.e., 32 * 100 = 3200
Hence 80 * 100= 8000
So, we have to multiply 32 by 100 to make it equal to 3200.
So, 80 is also multiplied with 100.
Therefore, the total valid votes = 80 * 100= 8000

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