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Earn 100

A Metro train from Mehrauli to Gurgaon has capacity to board 900 people. The fare charged (in  is defined by the function f=54-x322 where 'x' is the number of the people per trip. How many people per trip will make the marginal revenue equal to zero?

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Important Questions on Taste of The Exams - Block II & III

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IMPORTANT
Three Professors Dr. Gupta, Dr Sharma and Dr. Singh are evaluating answer scripts of a subject. Dr. Gupta is 40% more efficient than Dr. Sharma, who is 20% more efficient than Dr. Singh. Dr. Gupta takes 10 days less than Dr. Sharma to complete the evaluation work. Dr. Gupta starts the evaluation work and works for 10 days and then Dr. Sharma takes over. Dr. Sharma evaluates for next 15 days and then stops. In how many days, Dr. Singh can complete the remaining evaluation work.
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CAT
IMPORTANT
Three pipes, A, B and C are connected to a tank. These pipes can fill the tank separately in 5 hrs, 10 hrs and 15 hrs respectively. When all the three pipes were opened simultaneously, it was observed that pipes A and B were supplying water at 3/4 th of their normal rates for the first hour after which they supplied water at the normal rate. Pipe C supplied water at 2/3 rd of its normal rate for first 2 hours, after which it supplied at its normal rate. In how much time, tank would be filled.
EASY
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IMPORTANT
Mukesh, Suresh and Dinesh travel from Delhi toMathura to attend Janmasthmi Utsav. They have a bike, which can carry only two riders at a time as per traffic rules. Bike can be driven only by Mukesh. Mathura is 300 km from Delhi. All of them can walk at 15 Km/hr. All of them start their journey from Delhi simultaneously and are required to reach Mathura at the same time. If the speed of bike 60 Km/hr then what is the shortest possible time in which all three can reach Mathura at the same time.
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IMPORTANT
A small and medium enterprise imports two components A and B from Taiwan and China respectively and assembles them with other components for a toy. Component A contributes to 10% of production cost. Component B contributes to 20% of the production cost. Usually the company sells this toy at 20% above the production cost. Due to increase in the raw material and labour cost in both the countries, component A became 20% costlier and component B became 40% costlier. Owing to these reasons the company increased its selling price by 15%. Considering that cost of other components does not change, what will be the profit percentage, if the toy is sold at the new price?
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IMPORTANT
Mandeep and Jagdeep had gone to visit Ranpur, which is a seaside town and also known for the presence of the historical ruins of an ancient kingdom. They stayed in a hotel, which is exactly 250 meters away from the railway station. At the hotel, Mandeep and Jagdeep learnt from a tourist information booklet that the distance between the sea-beach and the gate of the historical ruins is exactly 1 km. Next moming they visited the sea beach to witness sunrise and] afterwards decided to have a race from the beach to the gate of the ruins. Jagdeep defeated Mandeep in the race by 60 meters or 12 seconds. The following morning they had another round of race from the railway station to the hotel. How long did Jagdeep take to cover the distance on the second day?
EASY
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IMPORTANT
Sujoy, Mritunjoy and Paranjoy are three friends, who have worked in software firms Z Solutions, G Software's and R Mindpower respectively for a decade. The friends decided to float a new software firm named XY Infotech in January 2010 . However, due to certain compulsions, Mritunjoy and Paranjoy were not able to immediately join the start-up in the appointed time. It was decided between friends that Sujoy will be running the venture as the full time director during 2010 , and Mritunjoy and Paranjoy will be able to join the business only in January 2011. In order to compensate Sujoy for his efforts, it was decided that he will receive 10 percent of the profits and in the first year will invest lesser amount as compared to his friends. The remaining profit will be distributed among the friends in line with their contribution. Sujoy invested 35,000 /- for 12 months, Mritunjoy invested 1,30,000/- for 6 months and Paranjoy invested 75,000 /- for 8 months. If the total profit earned during 2010 was 4,50,000 /-, then Paranjoy earned a profit of:
EASY
CAT
IMPORTANT
In Bilaspur village, 12 men and 18 boys completed construction of a primary health center in 60 days, by working for 7.5 hours a day. Subsequently the residents of the neighbouring Harigarh village alsodecided to construct a primary health center in their locality, which would be twice the size of the facility built in Bilaspur. If a man is able to perform the work equal to the same done by 2 boys, then how many boys will be required to help 21 men to complete the work in Harigarh in 50 days, working 9 hours a day?
EASY
CAT
IMPORTANT
Aniket and Animesh are two colleagues working in PQ Communications, and each of them earned an investible surplus of 1,50,000 /- during a certain period. While Animesh is a risk-averse person, Aniket prefers to go for higher return opportunities. Animesh uses his entire savings in Public Provident Fund (PPF) and National Saving Certificates (NSC). It is observed that one-third of the savings made by Animesh in PPF is equal to one-half of his savings in NSC. On the other hand, Aniket distributes his investible funds in share market, NSC and PPF. It is observed that his investments in share marketexceeds his savings in NSC and PPF by 20,000 /- and 40,000 /- respectively. The difference between the amount invested in NSC by Animesh and Aniket is: