Sample Questions For IAS - PROBLEMS ON WORK, PERCENTAGES AND AGE

1. ‘A’ alone completes a job in 12 days while ‘B’ alone completes the job in 24 days. If ‘A’ and ‘B’ work together, how many days would it take to complete the job?
   1. 6
   2. 8
   3. 7
   4. 24
2. 10 men can complete a job in 18 days. After 6 days, 5 more men joined. In how many days would the remaining work be completed?
   1. 8
   2. 6
   3. 2
   4. 15
3. A man works twice as fast as a woman and a woman works twice as fast as a child. If 16 men can complete a job in 12 days, how many would be required for 32 women and 64 boys together to complete the same job?
   1. 6
   2. 7
   3. 8
   4. 10
4. A contractor undertakes to complete a job in 60 days and employs 90 persons for the purpose. After 45 days he takes a review and finds that 90% of the work is over. In order to finish the job in 60 days, how many persons should he now remove from the job?
   1. 40
   2. 20
   3. 30
   4. 60
5. 25 men take 20 days to complete a certain job. 15 men left the work after some days. If the remaining work was completed in 37.5 days, after how many days did the 15 men leave the work?
   1. 5
   2. 35
   3. 7
   4. 6
6. In a competetive exam 10000 boys and 12000 girls appeared. If 26% of boys and 15% of girls could qualify, what is the overall % of students who could not qualify?
   1. 80
   2. 40
   3. 60
   4. 70
7. At an election contested by two candidates, the loser loses by a 20% margin equivalent to 20000 votes. If the polling was only 50% of the total eligible number, how many people were eligible for casting their votes?
   1. 100000
   2. 200000
   3. 300000
   4. 40000
8. Of the total amount received by Kiran 10% was spent on purchases and 5% of the remaining on transportation. If he is left with 1400, the initial amount was
   1. 1637
   2. 1637.5
   3. 1637.43
   4. 1638
9. In an exam, 60% failed in the GK test and 40% failed in quantitative aptitude test. 15% failed in both tests. What percent passed both tests?
   1. 10%
   2. 17%
   3. 15%
   4. 20%
10. A solution of 70 L of wine and water contains 10% water. How much water must be added to make the water 12.5% of the resulting solution?
    1. 5
    2. 3
    3. 4
    4. 2
11. The ratio of ages of a mother to her daughter today is 7:3. After 5 years, this ratio would be 2:1. How old was the mother at the time of birth of the daughter?
    1. 18
    2. 21
    3. 22
    4. 20
12. The average age of a class of 50 students is 24 years. If the average age of 10 of them is 22, while the average age of another 10 is 26, what is the average age of the remaining 30 students?
    1. 22 years
       
    2. 32
    3. 24
    4. 42
13. The average age of a class of 27 students is 10 years. The average increases by 1 if the teachers age is included. What is the age of the teacher?
    1. 35
    2. 36
    3. 38
    4. 37
14. The sum of ages of a father and his son is 56. If they both live until the son is as old as the father is at present, their ages together will then be 96. Find the present age of the father.
    1. 48 years
    2. 37
    3. 28
    4. 38
15. My brother is 6 years younger than me. If after 7 years our ages will be in the ratio 8:7, what is my brother’s age now?
    1. 35
    2. 25
    3. 30
    4. 40

Posted in: UPSC Question Papers