LIC AAO Quantitative Aptitude Miscellaneous Quiz: 5th April 2019

Q1. Anshu can do a work in 16 days. Efficiency of Raghu is four-fifth of that of Anshu. Both started working together and after 4 days Anshu left the work. After completion of work they got a total wage of Rs 1680. Find the wages obtained by Anshu.

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Q2. The compound interest on a certain sum for two years at a certain rate of interest is Rs 40 more than that by simple interest on the same sum at same rate of interest for two years. If simple interest on the same sum and at same rate of interest for 4 years is Rs 480, find the sum.

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Q3. A and B together can complete a piece of work inwhile B & C together can complete the same piece of work in. B is 25% more efficient than C. In how many days will A and C together complete the same work?

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Q4. In a vessel there is 40 liters mixture of milk and water. There is 15% water in the mixture. The milk man sells 10 liters of mixture to a customer and thereafter adds 12.5 liters of water to the remaining mixture. What is the respective ratio of milk and water in the new mixture?

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Q5. Equal amounts are invested in two schemes A and B for 6 years and 8 years respectively. Scheme A offers interest at the rate of 12% per annum and scheme B offers interstate the rate of 8% p.a. The difference b/w the interests earned (simple interest) is Rs.1280. What is the amount invested in each Scheme?

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Directions (6-10): Study the following data carefully and answer the questions given below: 

A survey conducted on 1200 village shows that 25% of the total villages have only adequate water supply. 15% of the total number of villages have proper supply of electricity only. 7% of the total number of village have only proper education facilities. 12% of the total number of villages have telecommunication services only. 16% of the total number of villages have proper healthcare services only. 6% of the total number of villages have adequate water as well as supply of electricity. 8% of the total number of villages have adequate supply of water, supply of electricity well as healthcare services. 5% of the total number of villages have proper supply of electricity, telecommunication services as well as healthcare services and 6% of the total number of villages have all the facilities.

Q6. How many villages in all have adequate water supply ?

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Q7. How many villages in all have adequate supply of water as well as electricity ?

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Q8. How many villages in all do not have proper supply of electricity ?

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Q9. How many villages have only proper education facilities ?

Q10. How many villages have all the facilities ?

Directions (11-15): In the following questions there are two equations in x and y are given. Solve the following equations and give answer 

Q11. I. 13x² – 48 x – 180 = 0 
II. 7y² – 38y + 51 = 0

Solution:

Q12. I. 6y² – 25y - 100 = 0 
II. 4x² + 43x + 63 = 0

Solution:

Q13. I. 48x² + 144x + 96 = 0 
II. 27y² - 72 y + 36 = 0

Solution:

Q14. 

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Q15. I. 121y² = 363y – 242 
II. 84 + 7x² – 61x = 0

Solution: