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Made bySaurav Hathi

[Advance Learning] Quant - Time & Speed, Work & Wages and Trigonometry-4

Q1:

In a game of billiards, A can give B 12 points in 60 and A can give C 10 points in 90. How many can C give B in a game of 70? 

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Q2:

Two men and seven boys can do a piece of work in 14 days, three men and eight boys can do the same in 11 days. Find the amount of time taken by eight men and six boys to complete three times the work? 

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Q3:

25 labors are employed to construct a building in 375 days. If 25 additional laborers are employed at the end of 200 days, then how many more days will it take to complete the construction of a building?

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Q4:

Gaurav first travelled from A to B and then from B to C. The distance between A and B and the distance between B and C were in the ratio 2 : 3. Gaurav’s average speed between A and B and his average speed between B and C were in the ratio 5 : 4. If Gaurav’s average speed for the entire journey was 40 km/hr, what was his average speed (in km/hr) between A and B?

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Q5:

If 20 adults and 17 children can complete a given task in 3 days and 18 adults and 9 children can do it in 5 days, then what is the ratio of the work done daily by an adult to a child?

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Q6:

If lcos2θ+msin2θ=cos2θ(cosec2θ+1)cosec2θ−1, then what is the value of tan2θ?

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Q7:

A certain distance is covered with a certain speed. If half the distance is covered in double the time, then the ratio of the speed to that of the original one is? 

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Q8:

The distance between two states A and B is 450 km. A Bus XX starts from A and moves towards B at an average speed of 20 km/h. Another Bus YY starts from B, 20 minutes earlier than the bus XX, and moves towards A at an average speed of 30 km/hr.

How far from A will the two Buses will meet?

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Q9:

If three men or 6 boys can do a piece of work in 10 days, working 7 hours a day, how many days will it take to complete a piece of work twice the original with six men and two boys working together for 8 hours per day? 

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Q10:

A motor car does a journey in 27 hrs, the first half at 14 km/hr and the second half at 13 km/hr. Find the distance.

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Q11:

A and B undertake a piece of work for Rs. 897. A alone can do it in 6 days while B can do it in 8 days. With the help of C, they finish it in 3 days. On the quality of their work, their wagers were distributed in ratio 3:3:2. Find the sum received by C. 

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Q12:

Machine A, B, and C, working alone take 20,10 and 5 day to make 2000 bolts each. If the defect in their daily production is 4%,5% and 9% approximately respectively. Find number of days taken to produce 5000 defect less bolts when all the machines are working simultaneously. 

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Q13:

In a camp, there is sufficient food for 280 people for 30 days. If after 21 days 40 more people join with eating efficiency 30% less than others. Then find for how many days the remaining amount of food will last for a new group of people?

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Q14:

If Kriti walks at 5 km/h she is late for her school by 7 min. If she walks at 6 km/h she reaches 5 min early from her school time. Find the distance between her home and her school.

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Q15:

Eight typists working for 9 hours a day can type a whole book in 20 days. In how many days can seven men working for 10 hours a day can type a text which is  th of 1st book? 

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Q16:

A, B and C can walk at the rate of 3, 4 and 5 Km per hour respectively. They start from Pune at 1, 2, 3 o’clock respectively. When B catches A, B sends A back with a message to C. When will (C) get the message?

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Q17:

The ratio of speed of A and B is 2:3.To cover a certain distance A takes 10 minutes more than the time taken by B.If A had walked at double the speed ,how much less time A will take as compared to B to cover the same distance. 

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Q18:

A car during its journey travels 30 minutes at a speed of 40 km/hr, another 45 minutes at a speed of 60 km/hr, and 2 hours at a speed of 70 km/hr. The average speed of the car is?

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Q19:

A can do a piece of work in days ,B and C can do the same work in days each.If working together they charge Rs 190for completion of work and their earnings ratio is 4:6:9.Find the sum of money earned by C,if he completes the whole work alone. 

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Q20:

Two trains are running on parallel tracks. The slower train is moving at 18 km/hr. The faster train passes a man sitting in the slower train in 52 seconds. Find the time taken by the faster train to overtake the slower one if the lengths of the slower and the faster trains are 100 m and 130 m respectively. 

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