LIC AAO Mains Quantitative Aptitude Quiz: 26th June

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


There are five ISKCON temples in five different cities of India: Vrindavan, Ahmedabad, Anantpur, Baroda and Banglore. The total number of ISKCON devotees in all the cities are 9000. The strength of Vrindavan temple is 20% and that of Ahmedabad is 35% of the total devotees of the cities. Baroda and Banglore have equal strength. 30% of the devotees of Vrindavan know only Sanskrit. 40% devotees of temple in Baroda know only Hindi.

There are 10 more devotees in Ahmedabad temple who know only Hindi than the number of devotees of Baroda temple who know only Hindi. The strength of Anantpur temple is 50% that of temple Vrindavan. Two-fifths of devotees of Ahmedabad temple know both the languages. 40% devotees of Vrindavan temple know both languages.
50% devotees of Anantpur temple know only Hindi and the number of devotees of Anantpur temple who know both the languages is equal to the number of devotees of Anantpur who know only Sanskrit. The number of devotees who know only Sanskrit from Banglore temple is equal to the number of devotees who know only Hindi from Baroda temple.

The number of devotees who know only Hindi from Banglore temple is 40 more than the number of devotees who know only Hindi from Anantpur temple. The number of devotees of Baroda temple who know only Sanskrit is 45 more than the number of devotees who know both the languages from Banglore temple. Each devotee knows at least one of the two languages. Sanskrit and Hindi.


Q1. What is the percentage of the number of ISKCON devotees who know both the languages?

Solution:

Following the given information, we can create a table as follows:

Q2. What is the difference between the number of ISKCON devotees who know Sanskrit and those who know only Hindi ?

Solution:

Following the given information, we can create a table as follows:

Total number of devotees who know Sanskrit = 540 + 1250 + 225 + 500 + 630 = 3145 + 3105 (from both the languages) = 6250
Total number of devotees who know only Hindi = 540 + 640 + 450 + 630 + 490 = 2750
Reqd. difference = 6250 – 2750 = 3500

Q3. The number of Banglore ISKCON temple devotees who know only Sanskrit language is how many times of those who know both the languages from Vrindavan temple?

Solution:

Following the given information, we can create a table as follows:

Q4. What is the ratio of the total number of devotees who know both the languages from temple Vrindavan and temple Anantpur together to the total number of devotees from temple Baroda?

Solution:

Following the given information, we can create a table as follows:

Q5. What is the maximum difference between the number of devotees who know only Sanskrit and only Hindi from a certain temple?

Solution:

Following the given information, we can create a table as follows:

 Following the common explanation, we get that the Ahmedabad temple has the maximum difference between the no. of devotees who know only Sanskrit and only Hindi.

Q6. A motorboat went downstream for 28 km and immediately returned. It took the boat twice as long to make the return trip than the downstream trip. If the speed of the river flow were twice as high, the trip downstream and back would take 672 minutes. Find the speed of the boat in still water and the speed of the river flow.

Solution:

Q7. Two trains pass each other on parallel lines. Each train is 100 metres long. When they are going in the same direction, the faster one takes 60 seconds to pass the other completely. If they are going in opposite directions they pass each other completely in 10 seconds. Find the speed of the slower train in km/hr.

Solution:

Q8. A train can travel 20% faster than a bus. Both start from the point A at the same time and reach point B 75 km away from A at the same time. But the train stopped for 12.5 minutes while stopping at the stations. Find the speed of the bus in km/hr.

Solution:

Q9. A train covers certain distance between two places at a uniform speed. If the train moved 10 kmph faster, it would take 2 hours less, and if the train were slower by 10 kmph, it would take 3 hours more than the scheduled time. Find the distance covered by the train.

Solution:

Q10. A motorboat travelling at a certain speed, can cover 25 km upstream and 39 km downstream in 8 hours. At the same speed, it can travel 35 km upstream and 52 km downstream in 11 hours. The speed of the stream is:

Solution:

Directions (11-15): Find out the approximate value which should replace the question mark (?) in the following questions. 
Note: (You are not expected to find out the exact value)


Q11. 25.05% of 2844.01 + 14.95 × 2400 =?

Solution:

Q12. 1080.18 ÷ 36 + 187 × 20.05 =?

Solution:

Q13. 125% of 4875 + 88.005 × 14.995 =?

Solution:

Q14. 39.05 × 14.95 – 27.99 × 10.12 = (36 +?) × 5

Solution:

Q15. 158.004 × 4.06 + 20.12% of 849.86 + ? = 950.93

Solution:

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