1. In a survey it was found that 80% of those surveyed owned a car while 60% of those surveyed owned a mobile phone, if 55% owned both a car and a Mobile phone, What percent of those surveyed owned a car or a mobile phone or both?
A. 65%
B. 80%
C. 85%
D. 97.5%
Answer: Option C
Explanation:
Given that percentage of car owners = 80%
Percentage of mobile phone owners = 60%
Percentage of people having both car and mobile phone = 55%
Percentage of people having only car = 80 -55 = 25%
Percentage of people having only mobile phone = 60 -55 =5%
Percentage of people having car or mobile phone or both = 55% + 25% + 5% = 85%
2. In a test a candidate attempted only 8 Questions and secured 50% marks in each of the questions if the obtained a total of 40% in the test and all questions in the test carried equal marks, how many questions were there in the test?
Answer: Option B
Explanation:
Let the marks of each question be 10
Total marks got by the candidate = 8 x 5 = 40 marks
40% = 40 : 100 = 100
Therefore, Total number of questions = 10 [latex]\frac{100}{10}[/latex] = 10
3. A city has a population of 300000 out of which 180000 are males 50% of the population is illiterate if 70 % of the males are literate, then the number of literate females is
A. 24000
B. 30000
C. 54000
D. 60000
Answer: Option A
Explanation:
Total population = 300000
Total number of males = 180000
Total literates = 5% of total population = 150000
Number of literate males = 70% of males = 126000
4. In a company, 60% of the employees are men, of this 40 % are drawing more than Rs. 50000 per year. 36% of the total employees of the company draw more than Rs.50000 per year then what is the percentage of women who are drawing less than Rs. 5000 per year?
A. 70%
B. 60%
C. 40%
D. 30%
Answer: Option A
Explanation:
Total number of employees be 100
Then number of men = [latex]\frac{6000}{100}[/latex] = 60
Number of women = [latex]\frac{4000}{100}[/latex] = 40
Therefore, a number of men drawing more than Rs. 50000 = [latex]\frac{24000}{100}[/latex] = 24 men
Since the number of total employees drawing more than Rs. 50000 = [latex]\frac{3600}{100}[/latex] = 36
Number of women who draw more than Rs. 50000 = 36- 24 = 12
Number of women who draw less than Rs. 50000 = 40 -12 = 28
Therefore, the Percentage of women who draw less than Rs. 50000 per year = [latex]\frac{28}{40}[/latex] x 100% = 70%
5. In an election between two candidates. One got 55 % of the total valid votes. 20 % of the votes were invalid. If the total number of votes was 7500. The number of valid votes that the other candidate got was
A. 2700
B. 2900
C. 3000
D. 3100
Answer: Option A
Explanation:
Valid votes = ([latex]\frac{80}{100}[/latex] x 7500) = 6000
Valid votes polled by one candidate
= ([latex]\frac{55}{100}[/latex] × 6000) = 3300
Valid votes polled by another candidate
= (6000 - 3300) = 2700