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Made bySaurav Hathi

[Advance Learning] Quant - Time & Speed, Work & Wages and Trigonometry-1

Q1:

Two poles, one double in length of other, are standing opposite to each other at a distance of Y meter. If the angle of elevation from mid-point of the line joining their feat are complementary then what is the height of the shorter pole?

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Q2:

3 boys and 4 girls can dig 3780 of earth in 7 days. 11 boys and 13 girls can dig 15040  in 8 days. In what time will 7 boy and 9 girls can dig  12400  earth? 

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Q3:

Amit and Braj together can complete a job in 12 days. Braj and Chinmay together can complete a job in 10 days.Amit and Chinmay  can complete the same work in eight days Find the minimum time taken by them to complete twice the work if exactly two people works on any day and no one work on every 4th day.[ Note:A single person cannot take rest for 2 consecutive days and cannot work for 3 consecutive days] 

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Q4:

‘A’ can do one fourth of work in 10 days, ‘Y’ can do 40% of the work in 40 days and ‘Z’ can do one third of the work in 13 days. Who will complete the work first?

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Q5:

A 280 m long train moving with an average speed of 108 km/h crosses a platform in 12 seconds. A boy crosses the same platform in 8 seconds. What is the speed of boy in m/s?

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Q6:

Government undertakes to build a school in 90 days. 90 labourers were hired for the same. However, after 45 days only 40% of the work is completed. How much more labor need to be hired to complete the work on time?

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Q7:

Amit, Anil and Ajit ride from home to their office with speed in ratio 5:4:3. If in total they take 94 minutes(sum of the individual time taken) to cover the individual distance,then find the time taken by "Anil" to cover his distance. 

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Q8:

In a race of 200 m, A beats B by 20 m, B beats C by x m, if A beats C by 120 m in a 600 m race, then the value of x is? 

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Q9:

A train travels at a speed of 80 km/hr. After every 15 kms, It stops for 4 mins. Then the time taken by it to cover a distance of 330 km will be? 

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Q10:

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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Q11:

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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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:

A man travels on a scooter from A to B at the speed of 30 km/hr, and returns from B to A at 20 km/hr. The total journey took 10 hr. But when he increased his speeds in both conditions by 20%, find the time taken to cover the same distance. 

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Q14:

Deva moves along the perimeter of a rectangular park of length 33 m and breadth 22m in 10 seconds. How many seconds will he take to move along a circular park of radius 70 m with double the speed ? 

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Q15:

Amit runs 2.25 times as fast as Baljit. If Amit gives Baljit a start of 90m, how far must the winning post be in order that Amit and Baljit reach at the same time? 

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Q16:

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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Q17:

Anuj can build a wall in 24 days and Bunny in 36 days. With the help of a 3rd person Dev, the constructional work is done in 18 days when all of them work simultaneously. Find the number of days taken by Dev to do total amount of work alone. 

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Q18:

A 300 m long train is running at a speed of 50 km/h. How much time will it take to pass a boy cycling at 15 km/h in the same direction in which the train is going? 


 

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Q19:

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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Q20:

Two trains for Tamil Nadu leave Pune at 11:30 a.m. and 12:00 p.m. and travels at 120 kmph and 142 kmph respectively. After how many kilometers from Pune will the two trains be together?

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