LIC AAO Quantitative Aptitude Quiz: 26th April

Dear Aspirants,

Directions (1-5): Study the following information carefully and answer the questions given beside: 


At a place there are 1200 followers of three BABAs – Baba1, Baba2 and Baba3, the number of male followers and the number of female followers are in the ratio of 7 : 5. Each follower follows at least one of these Babas. 10% of male followers follow Baba1 only, 20% male follow Baba2 only and 12% male follow Baba3 only. 10% male follow Baba1 and Baba3 together. 18% follow Baba3 and Baba2 together and 20% follow Baba1 and Baba2 together. The remaining male followers follow all the Babas together. 18% of female followers follow Baba1 only. 10% female follow Baba2 only and 12% female follow Baba3 only. 20% female follow Baba1 and Baba3 together, 12% female follow Baba3 and Baba2 together and 8% female follow Baba1 and Baba2 together. The remaining female followers follow all three Babas together.


Q1. What is the ratio of the number of male followers who follow Baba2 to the number of female followers who follow Baba1?

Solution:

Total number of followers = 1200
And the given Ratio of Male to Female = 7 : 5, Therefore, man will be 700 and female will be 500.

Q2. The total number of male followers following less than two Babas is what percent of the total number of female followers following more than one Baba?

Solution:

Total number of followers = 1200
And the given Ratio of Male to Female = 7 : 5, Therefore, man will be 700 and female will be 500.

Q3. What is the ratio of the total number of female followers who follow all the three Babas together to the total number of male followers who follow all the three Babas together?

Solution:

Total number of followers = 1200
And the given Ratio of Male to Female = 7 : 5, Therefore, man will be 700 and female will be 500.

Q4. The number of female followers following Baba3 only is approximately what per cent less than the number of male followers following Baba1 only?

Solution:

Total number of followers = 1200
And the given Ratio of Male to Female = 7 : 5, Therefore, man will be 700 and female will be 500.

Q5. The number of male followers following only Baba2 is what per cent of the number of female followers who follow only Baba3 and only Baba1?

Solution:

Total number of followers = 1200
And the given Ratio of Male to Female = 7 : 5, Therefore, man will be 700 and female will be 500.

Q6. ‘A’ alone can complete a piece of work in 8 days. Work done by B alone in one day is half of the work done by A alone in one day. In how many days can the work be completed, if A and B work together?

Solution:

Q7. Two persons P and Q can do a job in 24 days together. P can do the same job in 60 days alone. In what time Q can complete the same job alone?

Solution:

Q8. Ram can do a job in 12 days alone and Shyam can do the same job in 15 days alone. A third person Ravi whose efficiency is two-third of efficiency of both Ram and Shyam together, can do the same job in how many days alone?

Solution:

Q9. Find the difference between compound interest calculated half yearly and simple interest calculated per annum on a sum of Rs. 7000 at 20% rate of interest after one and half years.

Solution:

Q10. Equal amount of sum is invested in CI and SI scheme at 20% rate p.a. If CI received in 2nd year only is Rs. 192 more than SI received in 5th year. Find sum invested in both the schemes together.

Solution:

Directions (11-15): In these questions, two equations numbered I and II are given. You have to solve both the equations and give answer 


Q11. I. 6x² + 5x + 1 = 0 
 II. 15y² + 8y + 1 = 0

Solution:

Q12. I. x² + 5x+ 6 = 0 
 II. 4y² + 24y + 35 = 0

Solution:

Q13. I. 2x² + 5x+ 3 = 0 
 II. y² + 9y+ 14 = 0

Solution:

Q14. I. 88x² – 19x + 1 = 0 
 II. 132y² - 23y + 1 = 0

Solution:

Q15. I. 6x² - 7x + 2 = 0 
 II. 20y² - 31y + 12 = 0

Solution: