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YUWAM INDORE

ARITHMETIC

T IM E & W O RKv A , Band C undertake to complete a piece of work for Rs. 1,950. A works for 8 days, B for 9 days and C for 12 days to complete the work. If their daily wages are in the ratio of 3 :5:4, what does C get? (A) Rs. 400 v (B) Rs. 750 (C) Rs. 675 (C) Rs. 800

A is thrice as good a workman as B. A can finish a piece of work in 40 days less than B. ln how many days will they together be able to do the work? (A) 12 days (B) 15 days (C ) 18 days (D ) 20 days

v

Two pipes A and B can separately fill a tank in 6 hours and 8 hours respectively. Both the pipes are opened together, but 2% hours after the start, the pipe B is turned off. How much time will it take to fill the tank? (A) 42 hours (B) 44 hours (C) 48 hours (D) 44 hours

v

Two taps A and B can fill a cistern in 30 minute and 45 minute respectively. There is third exhaust tap C at the bottom of the tank. If all the taps are opened at the same time the cistern will be full in 45 minute. In what time can exhaust tap C empty the" cistern when full? (A) 10 min (B) 15 min (C) ;18 min (D) 20 min

v

Two taps can separately fill a cistern in 10 minute and 15 minute respectively and when the waste pipe is open, they can together fill it in 18 minute. The waste pipe can empty the full cistern in minute: (A) 7 min (B) 8 min (C) 9 min (D) 10 min

v

Two taps A and B can separately fill a cistern in 8 hours and 12 hours respectively. In what time will the cistern be full if both the taps are opened together? (A) 45 hours (B) 45 hours (C) 42 hours (D) 4 hours

v

Two taps A and B can separately fill a cistern in 24 minute and 30 minute respectively. Both the pipes are opened together. Find when the pipe B must be turned off so that the cistern may be full in 18 minute. (A) 6 min % (B) 6 !min (C) 7 min (D) 7~ min

1

YUWAM INDORE

ARITHMETIC

v

A tap can fill a cistern in 12 min. while another tap B can empty it is 8 minute. The pipe A is kept open for 6 minute in the beginning and the second pipe B is also opened. In what time will the cistern be emptied? (A) 6 min (B) 12 min (C) 18 min (D) 4 min

v A cistern is normally filled in 8 hours but takes two hours longer to fill became of a leak in its bottom. If the cistern is full, the leak will empty it in : (A) 10 hours v (B) 18 hours (C) 30 hours' (D) 40 hours

If 5 men and 8 boys can complete a work in 15 days and 5 men and 3 boy in 20 days, then 12 boys can complete the same work in : (A) 15 days (B) 20 days (C) 25 days (D) 36 days

v

In an NCC camp of 300 cadets, there was enough food for 22 days. But as same more cadets joined the camp on the very first day. The food was exhausted in 20 days only. The number of cadets joined later is : (A) 20 (B) 30 (C) 50 (D) 60

v

If 3 men or 6 boys can finish a work in 20 days, 6 men and 8 boys finish the twice the work in (A) 9 days (B) 1 1 days (C) 3 days (D) 12 days

v A five day cricket match is played for 30 hours, the duration ofthe play being the same every day. If a match stops after 3 days due to rain, find for how many hours the match was played? (A) 12 hrs (B) 18 hrs (C) 14 hrs (D) 16 hrs

v If 36 binders bind 900 books in 10 days, how many binders will be required to bind 1200. books in 12 days? (A) 30 (B) 32 (C) 40 (D) 42

v A bullet covers 400 m in 5 second. How many metre will it cover in 3 second? (A) 200 m (B) 220 m (C) 230 m (D) 240 m .

2

YUWAM INDORE

ARITHMETIC

v How many packets of 25 gm each will be made from 3 kg sugar? (A) 120 (B) 100 (C) 50 (D) 25

v The cost of 5 dozen of banana is Rs. 20. A cost of 4 dozen oranges is Rs. 48. What will be cost of 1 dozen of banana and 1 dozen orange? (A) Rs. 15 (B) Rs. 16 (C) Rs. 17 (D) Rs. 18

v If a man gets his wage of Rs. 15 for 5 days, what will be his wage for 3 days? (A)Rs.8 (B) Rs.10 (C) Rs.9 (D)Rs.12

v If A can complete a work in 30 days and B can complete the same work in 25 days, then in how many days will 'A' and 'B' together complete the work? (A) 150days v (B) 101 days (C) 55 days (D) 55 days

A can complete a work in 12 days, whereas A and B together can complete the same work in 9 days. How many days will it take B to complete the work? (A) 24 days (B) 24 days (C) 36 days (D) 36 days

v

A garrison having 80 inmates have food sufficient to last for 70 days. How many inmates should leave after 10 days to ensure that the food lasts another 80 days? (A) 25 (B) 24 (C) 20 (D) 16

v If 100 men can do 100 jobs in 100 days, then 1 man can do one job in : (A) 1 day v (B) 100 days (C) 50 days (D) 10 days

4 men or 7 women can do a work in 90 days. How many days will 8 men and 7 women together take to complete the same work? (A) 10 days (B) 20 days (C) 25 days (D) 30 days

v

Ajit can complete a job in 4 days, Manoj can complete the same job in 6 days and Ravi can complete it in 12 days. In how many days will Ajit, Manoj and Ravi together complete the same job? (A) 2 days (B) 3 days (C) "2 day (D) 1 day

3

YUWAM INDORE

ARITHMETIC

v

3 men or 6 women can do a piece of work in 20 days. In how many days will 12 men and 8 women do the same work? (A) 3"2 days (B) 3 4 days (C) 4 days (D ) 5 days

v

A father is 2 times faster than his son. If the son can complete a piece of work in 10 days, how long will it take for both father and son to complete the same work? (A) 3 3 days (B) 3"2 days (C) 4 days (D ) 4"2 days

v

A father and a son working together can complete a job in 6 days. Father alone can complete it in 8 days. Both of them work for 3 days and then the father had to leave. How long will the son take to complete the remaining work? (A) 24 days (B) 18 days (C) 16 days (D) 12 days

v

If 12 men can finish a work in 20 days, then in how many days 15 men will complete that work? (A) 12 (B) 16 (C) 18 (D) 20

v

A and B can finish a work in 16 days while A alone can do the same work in 24 days. Therefore B alone can finish the same work in how many days. (A) 24 (B) 36 (C) 48 (D) 56

v

If 12 cows eat 756 kg of grass in 7 days. How much grass will be eaten by 15 cows in 10 days? (A) 1,500 kg (B) 1,350 kg (C) 1,200 kg (D) 1,400 kg

YUWAM INDORE222, SRINAGAR EX. NEAR L.I.G. (M.P.)

PH: 0731-4037754, 9826074776

4

YUWAM INDORE

ARITHMETIC

TIM E & D ISTA N C Ev If a man walks 8 km in 4 hours, the time taken by him in travelling a distance of 24 km is : (A) 10 hours v (B) 12 hours (C) 24 hours (D) 48 hours

A man travels a certain distance at the rate of lO km per hour and returns the same point at the rate of l5 km per hour. His average rate for the whole journey is : (A) 12 kmlhour (B) 12"2kmlhour (C) 13 kmlhour (D) None of these

v

In a journey of 160 km, a train covers the distance 120 km at a speed of 80 kmlhour and the remaining distance at 40 kmlhour. The average speed of the train for the whole journey is : (A) 60 km/hr (B) 64 km/hr (C) 68 kmlhr (D) 72 km/hr

v

Walking at the rate of 4 km an hour, a man covers a distance in 2 hrs. 45 min. Running at a speed of 11 km per hour, the man will cover this much distance in: (A) "2 hour (B) 1 hour (C) 14hour (D) 2 hours

v

If a person takes as much time in running 20 metre as a car takes in covering 50 mt; the distance covered by the person during the time car covers 1 km is : (A) 100 m (B) 140 m (C) 400 m (D) 500 m

v

A journey of 300 km takes two hours more, when the speed is reduced by 5 km/hour, The origional speed of car (in km/hour) is: (A) 30 (B) 40 (C) 70 (D) 80

v

A motorist travels a distance of 10 km at a speed of 50 km/hour in the onward journey and 60 km/hour while returning. His average speed is: (A) 54 kmph (B) 55 km/hr (C) 56 kmlhr (D) none

5

YUWAM INDORE

ARITHMETIC

v

X and Yare 15 km apart. X can walk at the speed of 14 kmlhr and Y at the speed of 16 kmIhr. They start walking towards each other at 7 a.m. At what time will they meet: (A) 7.15 a.m. (B) 7.30 a.m. (C) 7.45 a.m. (D) 8.00 a.m.

v

A and B are 20 km apart. A can walk at an average speed of 4 kmIhr and B at an average speed of 6 kmlhr. If they start walking . towards each other at 8 a.m., at what time will they meet? (A) 9.00 a.m. (B) 9.30 a.m. (C) 10.00 a.m. (D) 10.30 a.m.

v

A police jeep is chasing a smuggler's car that is 5 km ahead. The car is travelling at an average speed of 80 km/hr and the police jeep pursues it at an average speed of 90 kmlhr. How long does it take for the police jeep to over take the smuggler's car? (A) 30 minute (B) 24 minute (C) 36 minute (D) 32 minute

v

A driver who is driving his bus at an average speed of 45 kmlhr locates another bus 150 metre ahead of him. After 30 second he overtakes it. The average speed ofthe second bus is: (A) 25 kmlhr .(B) 30 kmlhr (C) 24 km/hr (D) 27 kmlhr

v

A train 600 metre long is running with a speed of 54 kmlhr. In what time will it pass a tunnel 200 metre long? (A) 48 sec (B ) 50 see (C) 53 sec (D) none

v

A man travels 3/4th of the distance of his journey by bus, 1I6th by rickshaw and 4 km on foot. How many km does he travel in the journey? (A) 40 km (B) 46 km (C) 48 km (D) 50 km

v

A speed of 36 km per hour is the same as : (A) 10 m/sec (B) 12 m/sec (C) 129.6 m/sec (D) 3,600 m/sec

v

A man walks from his house at an average speed of I) kmlhr and reaches his office 6 minute late. Ifhe walks at an average speed of6 kmlhr he reaches 2 minute early. What is the distance of the office from his house? (A) 4 km (B) 4.5 km (C) 5.0 km