Time &
Work/Unitary Methods
1. A
journalist travelled 1200 km by air, which formed 2/5 of his trip. The
remaining part of his trip was one third of the whole trip by car and the rest
by bus. The distance traveled by bus is:
(a) 700 km (b) 800 km (c) 900 km (d)
100km
2. A
diagram of a plane draw to the scale of
0.5 inch equals 80 feet. If the length of the diagram is 4.5 inches the actual
length of the plane is:
(a) 720 ft. (b) 680 ft. (c) 640 ft. (d) 360 ft.
3. A worker
is digging a ditch, he gets two
assistants who work 2/3 as fast as he
does. If all three work n a ditch they should finish it in what fraction of the
time that the worker takes working alone?
(a) 1/7 (b) 2/7 (c) 3/7 (d) 4/7
4. A can do
piece of work in 40 days. He worked it for 5 days and then B finishes it in 21
days. In how many days A man B together finish the work
(a) 10 (b) 12 (c) 15 (d) 18
5. If 12
persons can do a work in 4 days, in how many days can 8 person complete that
work?
(a) 4days (b) 6 days (c) 8 days (d) 12
days
6. How many
men need to be employed to complete a job in 5 days if 10 men can complete half
of the job in 7 days?
(a) 5 (b) 10 (c) 15 (d) 28
7. A
contractor undertakes to make a road in 30 days and employ 15 men After 24
days, he finds that only half of the work is done. How many extra men should he
employ so that he is able to complete the work in time?
(a) 2 (b) 30 (c)
45 (d) None
8. A
diagram of a plane drawn to the scale of
0.5 inch equals 80 feet. If the length the diagram is 4.5 inches the actual
length of plane is :
(a) 7209ft (b)
680 ft. (c) 640 ft. (d) 360 ft.
9. A
diagram of a large ground drawn to the scale of 0.5 inch equals 80 feet. If the
length of the diagram is 4.5 inches the actual length of the ground is :
(a) 720 ft (b)
680 ft (c) 640ft (d) 360ft
10. Four
workers working together can plough the field in 12 house. How long will it
take 6 workers to plough the field of the same size. if all of them work at the
same rate?
(a) 6 hours (b) 8 hrs (c) 10 hrs (d) 12 hrs
11. When
magnified 10.000 times by
an electron microscope, the image of a
certain circular piece if tissue has a diameter of 0.3 centimeter. The actual
diameter the tissue in centimeter is :
(a) 0.03 (b) 0.003 (c) 0.0003 (d) 0.0003
12. If 15 men
can finish a work in 16 days. In how
many days will 8 men finish the same work?
(a) 24 (b) 30 (c) 32 (d) 36
13. If 7
workers can assemble a car in 8 hours,
how long would it take 12 workers to
assemble the same cat?
(a) (b) 4 hrs (c) 5 hrs (d)
6 hrs
14. A jet
uses 80 gallons of fuel to fly 320 miles. At this rate, how many gallons of
fuel are needed for a 700 miles flight?
(a) 155 (b) 160 (c) 170 (d) 175
15. If 6 men
can earn Rs. 150 in 10 days, how much do 8 men earn in 7 days?
(a) Rs. 160 (b) Rs. 140 (c) Rs. 135 (d) Rs. 130
16. Seven
workers can assemble a car in 8 hours, how long it would take 12 workers to assemble the same car?
(a) 7/2 (b) 14/3hrs (c)
11/2 hrs (d) 19/43 hrs
17. If 7
workers can assemble a car in 8 hours, how long
would it take 12 workers to assemble the same car?
(a) 3 (b) 3.5 (c) 4.67 (d) 6.33
18. If 2 men
and 3 boys can do a piece of work in 8 das whole 3 whole 3 men and 4 boys will do it
(a) 3days (b) 4 days (c) 5 days (d) 6 days
Answer
1. (b) |
2. (a) |
3. (c) |
4. (c) |
5. (b) |
6. (c) |
7 (c) |
8. (a) |
9. (a) |
10. (b) |
11. (d) |
12. (b) |
13. (b) |
14. (d) |
15. (b) |
16. (b) |
17. (a) |
18. (b) |
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