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# Arithmetic Mix || 27.04.2021

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Question 1

The distance between the places H and O is D units. The average speed that gets a person from H to O in a stipulated time is S units. He takes 20 minutes more time than usual if he travels at 60 km/h, and reaches 44 minutes early if he travels at 75 km/h. The sum of the numerical values of D and S is:

Question 2

A train can travel 25% faster than a car. Both start from point A at the same time and reach point B 165 km away at the same time. On the way the train takes 40 minutes for stopping at the stations. What is the difference in the speeds (in km/hr) of train and car ?

Question 3

Two cars travel from city A to city B at a speed of 30 km/hr and 44 km/hr respectively. If one car takes 3.5 hours less than the other car for the journey, then the distance between City A and City B is ________.

Question 4

Bala decided to donate 10% of his salary to PM Care fund. On the day of donation, he changed his mind and donated ₹1,800 which was 60% of what he had decided earlier. How much is his salary?

Question 5

The sum of three numbers is 79. If the ratio of the first number to the second number is 4 : 7 and that of the second number to the third number is 4 : 5, then the second number is:

Question 6

A thief is spotted by a policeman from a distance of 150 metres. When the policeman starts the chase, the thief also starts running. Assuming the speed of the thief as 7 km/hr and that of policeman as 9 km/hr, how far the thief would have run, before he is over- taken by the policeman?

Question 7

Two hours after a goods train passed a station, another train travelling at a speed of 63 km/hr following that good strain passed through that station. If after passing the station the train overtakes the goods train in 7 hours. What is the speed of the goods train?

Question 8

The proportion of students in three classes is 3 : 4 : 5. If the number of students is increased by 20 in each class, then the proportion changes to 4 : 5 : 6. What is the initial number of students in the three classes taken together?

Question 9

If a : b =3 :√5, then the value of (2a + b) : (3a−2b) is:

Question 10

A bike has an average speed of 80 km/h while going from Ranchi to Jamshedpur and has an average speed of x km/h while returning to Ranchi from Jamshedpur (via same route). If the average speed of the bike for the whole journey is 72 km/h, then what is the value of x?
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