EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If 10 cookies cost ₹70, how much will 27 cookies cost?
(i)
₹206
(ii)
₹187
(iii)
₹197
(iv)
₹189
(v)
₹163
Question
2
2.
If 6 chocolates cost ₹60, how many chocolates can be purchased with ₹300?
(i)
31
(ii)
28
(iii)
32
(iv)
29
(v)
30
Question
3
3.
If 14 l of oil costs ₹252, how much will 40 l cost?
(i)
₹738
(ii)
₹707
(iii)
₹725
(iv)
₹716
(v)
₹720
Question
4
4.
If 11 l of mustard oil costs ₹209, how much of mustard oil costs ₹722?
(i)
43 l
(ii)
33 l
(iii)
41 l
(iv)
38 l
(v)
35 l
Question
5
5.
If 13 men can make 26 chappals in a day, how many chappals are made by 24 men in a day?
(i)
47
(ii)
50
(iii)
48
(iv)
49
(v)
45
Question
6
6.
If 10 men can make 40 birthday cakes in a day, how many men are needed to make 92 birthday cakes in a day?
(i)
22
(ii)
23
(iii)
20
(iv)
24
(v)
26
Question
7
7.
If Srinivas can read 208 pages in 16 hr, how many pages can he read in 14 hr?
(i)
182
(ii)
185
(iii)
183
(iv)
181
(v)
179
Question
8
8.
If Prasad can read 380 pages in 19 hr, he can read 280 pages in how many hours?
(i)
9 hr
(ii)
17 hr
(iii)
11 hr
(iv)
14 hr
(v)
19 hr
Question
9
9.
If Sharan can read 36 pages in a 96 pages book in 3 hr, how much more time will it take to complete the book?
(i)
5 hr
(ii)
7 hr
(iii)
6 hr
(iv)
3 hr
(v)
4 hr
Question
10
10.
If Sai can make 88 sandwiches in 8 min, in how much time can he complete an order of 550 sandwiches ?
(i)
55 min
(ii)
53 min
(iii)
47 min
(iv)
50 min
(v)
45 min
Question
11
11.
If 120 men can do a piece of work in 84 days, how many men can do the same work in 140 days?
(i)
69
(ii)
74
(iii)
73
(iv)
72
(v)
71
Question
12
12.
If 104 men can do a piece of work in 168 days, 112 men can do the same work in how many days?
(i)
156 days
(ii)
160 days
(iii)
148 days
(iv)
144 days
(v)
173 days
Question
13
13.
If
13
men can build
1
10
of a wall in
46 days
,
in how much more time is the wall completely built ?
(i)
427 days
(ii)
411 days
(iii)
414 days
(iv)
399 days
(v)
430 days
Question
14
14.
A vehicle can cover certain distance in 30 min, running at a speed of 154 kmph. At what speed must the vehicle run to cover the same distance in 84 min?
(i)
60 kmph
(ii)
55 kmph
(iii)
52 kmph
(iv)
50 kmph
(v)
58 kmph
Question
15
15.
A vehicle can cover certain distance in 168 min, running at a speed of 117 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 156 kmph?
(i)
126 min
(ii)
131 min
(iii)
102 min
(iv)
152 min
(v)
109 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 416 km. He covers 260 km in 10 hr. In how much more time will he reach his destination?
(i)
7 hr
(ii)
8 hr
(iii)
5 hr
(iv)
6 hr
(v)
4 hr
Question
17
17.
The cost of 19 kg of pumpkins is ₹380. How many kgs of pumpkins can be purchased with ₹400 ?
(i)
20 kg
(ii)
23 kg
(iii)
25 kg
(iv)
15 kg
(v)
17 kg
Question
18
18.
The cost of 18 kg of onions is ₹522. How much has to be paid to purchase 13 kg of onions ?
(i)
₹385
(ii)
₹362
(iii)
₹377
(iv)
₹403
(v)
₹370
Question
19
19.
The weight of 21 rounds of copper wire is 483 kg. How many rounds of copper wire is present in 299 kg?
(i)
15
(ii)
12
(iii)
14
(iv)
13
(v)
11
Question
20
20.
130 men can dig a canal in 63 days working for 3 hr per day. How many men are required to complete the work in 30 days working for 9 hr per day?
(i)
91
(ii)
92
(iii)
90
(iv)
89
(v)
93
Question
21
21.
14 men can dig a trench in 19 days. But after working for 5 days, 5 men left. How many more days are required to complete the work?
(i)
22
days
(ii)
21
5
9
days
(iii)
21
7
9
days
(iv)
21
7
11
days
Question
22
22.
In a hostel mess there are provisions enough for 19 students for 10 days. If 10 more students join the hostel, how long will the provisions last ?
(i)
6.55 days
(ii)
7.55 days
(iii)
4.55 days
(iv)
5.55 days
(v)
8.55 days
Question
23
23.
In a hostel mess, there are provisions enough for 10 students for 12 days. After 6 days, 5 students left. How many more days will the provisions last ?
(i)
17.00 days
(ii)
12.00 days
(iii)
9.00 days
(iv)
15.00 days
(v)
7.00 days
Question
24
24.
A bus ticket fare for 20 km costs ₹62. How much is the fare for 14 km?
(i)
₹46.40
(ii)
₹38.40
(iii)
₹40.40
(iv)
₹48.40
(v)
₹43.40
Question
25
25.
The cost of 20 pens is ₹380 and 18 pencils is ₹180. With an amount of ₹423, 10 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
18
(ii)
16
(iii)
15
(iv)
17
(v)
20
Question
26
26.
The cost of 18 pens is ₹216 and 16 pencils is ₹128. With an amount of ₹272, 10 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
20
(ii)
21
(iii)
18
(iv)
17
(v)
19
Question
27
27.
The sales tax for ₹100 of a bill is ₹11. How much sales tax has to be paid for a bill of ₹355 ?
(i)
₹34.05
(ii)
₹44.05
(iii)
₹39.05
(iv)
₹36.05
(v)
₹42.05
Question
28
28.
A group of pilgrims have to cover 23 km to reach a shrine. They walk 15 km in 12 hr. At what speed they have to walk to cover the remaining distance in 7 hr ?
(i)
9.14 kmph
(ii)
2.14 kmph
(iii)
3.14 kmph
(iv)
0.14 kmph
(v)
1.14 kmph
Question
29
29.
To stitch a shirt, 133 cm of cloth is needed. How much cloth is needed to stitch 9 shirts ?
(i)
977 cm
(ii)
1137 cm
(iii)
1347 cm
(iv)
1467 cm
(v)
1197 cm
Question
30
30.
11 m of cloth is required to stitch 9 dresses. How many meters of cloth is required to stitch 22 dresses?
(i)
29.89 m
(ii)
31.89 m
(iii)
26.89 m
(iv)
21.89 m
(v)
23.89 m
Question
31
31.
The cost of 9 dozen bananas is ₹396. What is the cost of 30 dozens ?
(i)
₹1320
(ii)
₹1370
(iii)
₹1560
(iv)
₹1290
(v)
₹1150
Question
32
32.
20 mangoes weigh 6 kg. If 9 mangoes are needed, how many kgs have to be purchased?
(i)
2.70 kg
(ii)
1.70 kg
(iii)
0.70 kg
(iv)
3.70 kg
(v)
4.70 kg
Question
33
33.
27 men or 21 women can earn ₹1890 per day. How much is earned by 12 men and 11 women in a day?
(i)
₹1560
(ii)
₹1960
(iii)
₹1830
(iv)
₹2090
(v)
₹1770
Question
34
34.
The total wage of 15 labourers for 19 days is ₹105450. What will be the total wage of 11 labourers for 17 days ?
(i)
₹70490
(ii)
₹67390
(iii)
₹66990
(iv)
₹69590
(v)
₹69190
Question
35
35.
48 artisans can make 80 idols in 20 days. How many artisans are required to make 28 idols in 8 days ?
(i)
42
(ii)
40
(iii)
43
(iv)
41
(v)
44
Question
36
36.
21 workers working for 4 hr per day can dig a pit in 18 days. How many days are needed for 63 workers working 2 hr per day to dig the same pit?
(i)
9 days
(ii)
17 days
(iii)
15 days
(iv)
7 days
(v)
12 days
Question
37
37.
8 cows eat 800 kg of grass in 5 days. How much of grass has to be procured to feed 18 cows for 15 days ?
(i)
5250 kg
(ii)
5170 kg
(iii)
5400 kg
(iv)
5520 kg
(v)
5480 kg
Question
38
38.
Cost of 13 toys of TypeA is ₹104 and 10 toys of TypeB is ₹170. Out of a sum of ₹133, 5 toys of TypeA are purchased. If 7 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹23
(ii)
₹31
(iii)
₹26
(iv)
₹21
(v)
₹29
Question
39
39.
11 men can make 396 baskets in 6 days. 3 women can make 108 baskets in 6 days. How many baskets are made by 9 men and 9 women in 9 days ?
(i)
973
(ii)
972
(iii)
969
(iv)
971
(v)
974
Question
40
40.
To irrigate 17 acres of a field, 90000 l of water is needed. If 9 more acres are brought under cultivation, how many lts of water is needed?
(i)
112647.06 l
(ii)
150647.06 l
(iii)
119647.06 l
(iv)
153647.06 l
(v)
137647.06 l
Question
41
41.
32 labourers can cultivate a field in 50 days working 9 hr per day. How many more labourers are needed to cultivate double the field in 36 days working 5 hr per day ?
(i)
129
(ii)
128
(iii)
125
(iv)
131
(v)
127
Question
42
42.
11 workers working 12 hr per day are paid ₹55440 for 14 days. How much has to be paid to 15 workers working 13 hr per day for 15 days ?
(i)
₹87750
(ii)
₹88550
(iii)
₹85150
(iv)
₹86250
(v)
₹90550
Question
43
43.
The air ticket charges for 30 persons for a flight is ₹223320, inclusive of ₹344 as airport tax per person. How much has to be paid if 16 persons drop out of the trip ?
(i)
₹109216
(ii)
₹92216
(iii)
₹121216
(iv)
₹91216
(v)
₹104216
Question
44
44.
The specification on a printer says that it prints 2400 pages in 40 min. If 4500 pages have to be printed, how long will it take ?
(i)
72 min
(ii)
75 min
(iii)
78 min
(iv)
70 min
(v)
80 min
Question
45
45.
15 gm of gold costs ₹39000. What is the cost of 24 gm ?
(i)
₹62400
(ii)
₹60100
(iii)
₹61200
(iv)
₹62700
(v)
₹64000
Question
46
46.
A banker gave foreign exchange of $16 for ₹720. How many dollars will the customer get for ₹1350 ?
(i)
$27
(ii)
$35
(iii)
$33
(iv)
$25
(v)
$30
Question
47
47.
13 workers take 12 days to build a room. After working for 6 days, 8 workers left. In how many more days is the room built ?
(i)
15.60 days
(ii)
10.60 days
(iii)
12.60 days
(iv)
18.60 days
(v)
20.60 days
Question
48
48.
A can do
1
3
of a particular work in
12 days
.
B can do
1
9
of the same work in
8 days
.
C can do
1
11
of the same work in
13 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
20
94
167
days
(ii)
20
92
167
days
(iii)
20
90
167
days
(iv)
20
4
13
days
(v)
20
4
5
days
Question
49
49.
A journey consists of three legs. First 195 km are travelled at a speed of 130 kmph. Next 24 km are travelled at a speed of 20 kmph. Last 33 km are travelled at a speed of 110 kmph. Find the total time taken to complete the journey.
(i)
3
1
5
hr
(ii)
3
hr
(iii)
3
3
4
hr
(iv)
2
4
5
hr
(v)
2
1
2
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 11 gm/sec, 14 gm/sec and 6 gm/sec respectively. If the amount of food to be eaten is 18.6 kg, in how much time is it consumed if all three participants start eating together ?
(i)
10
min
(ii)
9
min
(iii)
8
min
(iv)
12
min
(v)
11
min
Question
51
51.
In a certain exam, for every correct answer, 8 marks are added. For every wrong answer 4 marks are subtracted. A student attempted 66 questions and secured 324 marks. How many answers are correct and how many are wrong?
(i)
48 correct and 18 wrong
(ii)
50 correct and 16 wrong
(iii)
49 correct and 17 wrong
(iv)
47 correct and 19 wrong
(v)
51 correct and 15 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
5
workers in
14 days
.
Stage2 work can be done by
15
workers in
11 days
.
Stage3 work can be done by
8
workers in
6 days
.
If
6
,
10
and
13
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
31
67
78
days
(ii)
31
23
26
days
(iii)
31
67
76
days
(iv)
31
5
6
days
(v)
31
67
80
days
Question
53
53.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
20
15
20
-
40
20
40
-
70
25
70
-
remaining
30
How much amount has to be paid if the consumption is
20 kl
.
(i)
₹300
(ii)
₹314
(iii)
₹296
(iv)
₹272
(v)
₹315
Question
54
54.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
20
19
20
-
40
24
40
-
70
29
70
-
remaining
34
How much amount has to be paid if the consumption is
31 kl
.
(i)
₹618
(ii)
₹644
(iii)
₹672
(iv)
₹639
(v)
₹656
Question
55
55.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
30
10
30
-
40
15
40
-
50
20
50
-
remaining
25
How much amount has to be paid if the consumption is
43 kl
.
(i)
₹494
(ii)
₹482
(iii)
₹523
(iv)
₹510
(v)
₹518
Question
56
56.
The slab rates of a city's water department are as follows
Low Val (kl)
-
High Val (kl)
Rate Rs/kl
0
-
20
14
20
-
80
19
80
-
90
24
90
-
remaining
29
How much amount has to be paid if the consumption is
95 kl
.
(i)
₹2065
(ii)
₹1755
(iii)
₹1805
(iv)
₹1635
(v)
₹1885
Assignment Key
1) (iv)
2) (v)
3) (v)
4) (iv)
5) (iii)
6) (ii)
7) (i)
8) (iv)
9) (i)
10) (iv)
11) (iv)
12) (i)
13) (iii)
14) (ii)
15) (i)
16) (iv)
17) (i)
18) (iii)
19) (iv)
20) (i)
21) (iii)
22) (i)
23) (ii)
24) (v)
25) (iv)
26) (v)
27) (iii)
28) (v)
29) (v)
30) (iii)
31) (i)
32) (i)
33) (iii)
34) (v)
35) (i)
36) (v)
37) (iii)
38) (iii)
39) (ii)
40) (v)
41) (ii)
42) (i)
43) (v)
44) (ii)
45) (i)
46) (v)
47) (i)
48) (ii)
49) (ii)
50) (i)
51) (iii)
52) (i)
53) (i)
54) (ii)
55) (iv)
56) (iii)