EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VIII
License : Non Commercial Use
Question
1
1.
If 11 dolls cost ₹66, how much will 33 dolls cost?
(i)
₹191
(ii)
₹203
(iii)
₹198
(iv)
₹211
(v)
₹180
Question
2
2.
If 11 dosas cost ₹99, how many dosas can be purchased with ₹324?
(i)
36
(ii)
38
(iii)
33
(iv)
37
(v)
35
Question
3
3.
If 8 l of groundnut oil costs ₹80, how much will 35 l cost?
(i)
₹354
(ii)
₹336
(iii)
₹327
(iv)
₹368
(v)
₹350
Question
4
4.
If 7 l of cooking oil costs ₹91, how much of cooking oil costs ₹390?
(i)
33 l
(ii)
35 l
(iii)
25 l
(iv)
30 l
(v)
27 l
Question
5
5.
If 11 men can make 33 chairs in a day, how many chairs are made by 19 men in a day?
(i)
55
(ii)
58
(iii)
56
(iv)
60
(v)
57
Question
6
6.
If 19 men can make 114 idols in a day, how many men are needed to make 150 idols in a day?
(i)
22
(ii)
26
(iii)
28
(iv)
24
(v)
25
Question
7
7.
If Krishna can read 340 pages in 20 hr, how many pages can he read in 10 hr?
(i)
172
(ii)
171
(iii)
168
(iv)
170
(v)
169
Question
8
8.
If Laxman can read 400 pages in 20 hr, he can read 320 pages in how many hours?
(i)
13 hr
(ii)
11 hr
(iii)
19 hr
(iv)
21 hr
(v)
16 hr
Question
9
9.
If Arjun can read 162 pages in a 297 pages book in 6 hr, how much more time will it take to complete the book?
(i)
7 hr
(ii)
5 hr
(iii)
3 hr
(iv)
6 hr
(v)
4 hr
Question
10
10.
If Shyam can make 216 pastries in 12 min, in how much time can he complete an order of 540 pastries ?
(i)
27 min
(ii)
25 min
(iii)
30 min
(iv)
33 min
(v)
35 min
Question
11
11.
If 66 men can do a piece of work in 104 days, how many men can do the same work in 88 days?
(i)
78
(ii)
77
(iii)
75
(iv)
81
(v)
79
Question
12
12.
If 72 men can do a piece of work in 98 days, 126 men can do the same work in how many days?
(i)
61 days
(ii)
56 days
(iii)
59 days
(iv)
51 days
(v)
53 days
Question
13
13.
If
13
men can build
1
5
of a wall in
37 days
,
in how much more time is the wall completely built ?
(i)
141 days
(ii)
148 days
(iii)
124 days
(iv)
163 days
(v)
161 days
Question
14
14.
A vehicle can cover certain distance in 156 min, running at a speed of 63 kmph. At what speed must the vehicle run to cover the same distance in 91 min?
(i)
115 kmph
(ii)
104 kmph
(iii)
84 kmph
(iv)
108 kmph
(v)
136 kmph
Question
15
15.
A vehicle can cover certain distance in 105 min, running at a speed of 84 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 42 kmph?
(i)
196 min
(ii)
232 min
(iii)
195 min
(iv)
212 min
(v)
210 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 527 km. He covers 279 km in 9 hr. In how much more time will he reach his destination?
(i)
6 hr
(ii)
8 hr
(iii)
9 hr
(iv)
7 hr
(v)
10 hr
Question
17
17.
The cost of 23 kg of radish is ₹552. How many kgs of radish can be purchased with ₹288 ?
(i)
15 kg
(ii)
17 kg
(iii)
12 kg
(iv)
7 kg
(v)
9 kg
Question
18
18.
The cost of 20 kg of beans is ₹440. How much has to be paid to purchase 19 kg of beans ?
(i)
₹410
(ii)
₹435
(iii)
₹418
(iv)
₹432
(v)
₹393
Question
19
19.
The weight of 18 rounds of copper wire is 486 kg. How many rounds of copper wire is present in 513 kg?
(i)
16
(ii)
19
(iii)
22
(iv)
18
(v)
20
Question
20
20.
135 men can dig a canal in 21 days working for 12 hr per day. How many men are required to complete the work in 108 days working for 3 hr per day?
(i)
107
(ii)
103
(iii)
106
(iv)
104
(v)
105
Question
21
21.
17 men can dig a trench in 20 days. But after working for 16 days, 12 men left. How many more days are required to complete the work?
(i)
14
days
(ii)
13
1
5
days
(iii)
13
3
7
days
(iv)
13
3
5
days
Question
22
22.
In a hostel mess there are provisions enough for 12 students for 11 days. If 5 more students join the hostel, how long will the provisions last ?
(i)
8.76 days
(ii)
5.76 days
(iii)
7.76 days
(iv)
9.76 days
(v)
6.76 days
Question
23
23.
In a hostel mess, there are provisions enough for 15 students for 17 days. After 13 days, 6 students left. How many more days will the provisions last ?
(i)
6.67 days
(ii)
5.67 days
(iii)
4.67 days
(iv)
8.67 days
(v)
7.67 days
Question
24
24.
A bus ticket fare for 16 km costs ₹99. How much is the fare for 20 km?
(i)
₹123.75
(ii)
₹135.75
(iii)
₹111.75
(iv)
₹97.75
(v)
₹140.75
Question
25
25.
The cost of 12 pens is ₹192 and 14 pencils is ₹140. With an amount of ₹430, 19 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
14
(ii)
16
(iii)
15
(iv)
13
(v)
17
Question
26
26.
The cost of 12 pens is ₹204 and 20 pencils is ₹140. With an amount of ₹278, 11 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
12
(ii)
13
(iii)
14
(iv)
11
(v)
15
Question
27
27.
The sales tax for ₹100 of a bill is ₹10. How much sales tax has to be paid for a bill of ₹433 ?
(i)
₹48.30
(ii)
₹46.30
(iii)
₹43.30
(iv)
₹38.30
(v)
₹40.30
Question
28
28.
A group of pilgrims have to cover 18 km to reach a shrine. They walk 10 km in 15 hr. At what speed they have to walk to cover the remaining distance in 7 hr ?
(i)
3.14 kmph
(ii)
0.14 kmph
(iii)
9.14 kmph
(iv)
1.14 kmph
(v)
2.14 kmph
Question
29
29.
To stitch a shirt, 138 cm of cloth is needed. How much cloth is needed to stitch 10 shirts ?
(i)
1240 cm
(ii)
1630 cm
(iii)
1380 cm
(iv)
1260 cm
(v)
1400 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)
23.89 m
(ii)
21.89 m
(iii)
31.89 m
(iv)
29.89 m
(v)
26.89 m
Question
31
31.
The cost of 6 dozen bananas is ₹234. What is the cost of 16 dozens ?
(i)
₹620
(ii)
₹608
(iii)
₹624
(iv)
₹646
(v)
₹631
Question
32
32.
12 mangoes weigh 10 kg. If 8 mangoes are needed, how many kgs have to be purchased?
(i)
7.67 kg
(ii)
6.67 kg
(iii)
8.67 kg
(iv)
4.67 kg
(v)
5.67 kg
Question
33
33.
80 men or 60 women can earn ₹4800 per day. How much is earned by 11 men and 19 women in a day?
(i)
₹2000
(ii)
₹2110
(iii)
₹2230
(iv)
₹2180
(v)
₹2340
Question
34
34.
The total wage of 15 labourers for 5 days is ₹34500. What will be the total wage of 14 labourers for 9 days ?
(i)
₹57960
(ii)
₹55360
(iii)
₹57260
(iv)
₹58260
(v)
₹60360
Question
35
35.
36 artisans can make 12 idols in 15 days. How many artisans are required to make 70 idols in 50 days ?
(i)
63
(ii)
62
(iii)
65
(iv)
61
(v)
64
Question
36
36.
24 workers working for 10 hr per day can dig a pit in 63 days. How many days are needed for 42 workers working 9 hr per day to dig the same pit?
(i)
37 days
(ii)
45 days
(iii)
40 days
(iv)
35 days
(v)
43 days
Question
37
37.
11 cows eat 2926 kg of grass in 14 days. How much of grass has to be procured to feed 10 cows for 12 days ?
(i)
2130 kg
(ii)
2280 kg
(iii)
2440 kg
(iv)
2150 kg
(v)
2460 kg
Question
38
38.
Cost of 9 toys of TypeA is ₹63 and 19 toys of TypeB is ₹323. Out of a sum of ₹216, 8 toys of TypeA are purchased. If 10 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹5
(ii)
₹15
(iii)
₹13
(iv)
₹7
(v)
₹10
Question
39
39.
10 men can make 300 baskets in 5 days. 4 women can make 140 baskets in 7 days. How many baskets are made by 3 men and 7 women in 7 days ?
(i)
374
(ii)
372
(iii)
370
(iv)
371
(v)
369
Question
40
40.
To irrigate 14 acres of a field, 100000 l of water is needed. If 8 more acres are brought under cultivation, how many lts of water is needed?
(i)
170142.86 l
(ii)
142142.86 l
(iii)
157142.86 l
(iv)
145142.86 l
(v)
183142.86 l
Question
41
41.
54 labourers can cultivate a field in 56 days working 2 hr per day. How many more labourers are needed to cultivate double the field in 18 days working 7 hr per day ?
(i)
42
(ii)
43
(iii)
41
(iv)
44
(v)
39
Question
42
42.
13 workers working 14 hr per day are paid ₹60060 for 11 days. How much has to be paid to 10 workers working 11 hr per day for 17 days ?
(i)
₹56100
(ii)
₹56700
(iii)
₹53600
(iv)
₹55400
(v)
₹58800
Question
43
43.
The air ticket charges for 36 persons for a flight is ₹169164, inclusive of ₹399 as airport tax per person. How much has to be paid if 11 persons drop out of the trip ?
(i)
₹101475
(ii)
₹114475
(iii)
₹117475
(iv)
₹142475
(v)
₹129475
Question
44
44.
The specification on a printer says that it prints 1200 pages in 20 min. If 5700 pages have to be printed, how long will it take ?
(i)
90 min
(ii)
92 min
(iii)
100 min
(iv)
98 min
(v)
95 min
Question
45
45.
11 gm of gold costs ₹24200. What is the cost of 38 gm ?
(i)
₹83600
(ii)
₹80800
(iii)
₹85000
(iv)
₹85100
(v)
₹82300
Question
46
46.
A banker gave foreign exchange of $14 for ₹462. How many dollars will the customer get for ₹792 ?
(i)
$27
(ii)
$29
(iii)
$19
(iv)
$24
(v)
$21
Question
47
47.
13 workers take 19 days to build a room. After working for 9 days, 8 workers left. In how many more days is the room built ?
(i)
23.00 days
(ii)
21.00 days
(iii)
26.00 days
(iv)
29.00 days
(v)
31.00 days
Question
48
48.
A can do
1
7
of a particular work in
13 days
.
B can do
1
2
of the same work in
11 days
.
C can do
1
15
of the same work in
12 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
16
1444
11171
days
(ii)
16
164
1241
days
(iii)
16
1446
11171
days
(iv)
16
1442
11171
days
(v)
16
1412
11173
days
Question
49
49.
A journey consists of three legs. First 70 km are travelled at a speed of 50 kmph. Next 44 km are travelled at a speed of 110 kmph. Last 24 km are travelled at a speed of 120 kmph. Find the total time taken to complete the journey.
(i)
2
hr
(ii)
2
1
5
hr
(iii)
1
2
3
hr
(iv)
2
1
2
hr
(v)
1
4
5
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 8 gm/sec, 7 gm/sec and 5 gm/sec respectively. If the amount of food to be eaten is 10.8 kg, in how much time is it consumed if all three participants start eating together ?
(i)
11
min
(ii)
8
min
(iii)
9
min
(iv)
6
min
(v)
10
min
Question
51
51.
In a certain exam, for every correct answer, 10 marks are added. For every wrong answer 6 marks are subtracted. A student attempted 55 questions and secured 326 marks. How many answers are correct and how many are wrong?
(i)
41 correct and 14 wrong
(ii)
39 correct and 16 wrong
(iii)
43 correct and 12 wrong
(iv)
40 correct and 15 wrong
(v)
42 correct and 13 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
14
workers in
12 days
.
Stage2 work can be done by
8
workers in
9 days
.
Stage3 work can be done by
11
workers in
6 days
.
If
7
,
9
and
14
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
36
5
7
days
(ii)
36
5
9
days
(iii)
36
3
7
days
(iv)
37
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
-
70
17
70
-
80
22
80
-
90
27
90
-
remaining
32
How much amount has to be paid if the consumption is
42 kl
.
(i)
₹701
(ii)
₹712
(iii)
₹730
(iv)
₹718
(v)
₹714
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
-
50
12
50
-
80
17
80
-
90
22
90
-
remaining
27
How much amount has to be paid if the consumption is
73 kl
.
(i)
₹973
(ii)
₹991
(iii)
₹996
(iv)
₹1018
(v)
₹977
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
-
40
20
40
-
70
25
70
-
90
30
90
-
remaining
35
How much amount has to be paid if the consumption is
73 kl
.
(i)
₹1470
(ii)
₹1640
(iii)
₹1720
(iv)
₹1360
(v)
₹1790
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
18
20
-
70
23
70
-
80
28
80
-
remaining
33
How much amount has to be paid if the consumption is
94 kl
.
(i)
₹2312
(ii)
₹2202
(iii)
₹2252
(iv)
₹2422
(v)
₹2032
Assignment Key
1) (iii)
2) (i)
3) (v)
4) (iv)
5) (v)
6) (v)
7) (iv)
8) (v)
9) (ii)
10) (iii)
11) (i)
12) (ii)
13) (ii)
14) (iv)
15) (v)
16) (ii)
17) (iii)
18) (iii)
19) (ii)
20) (v)
21) (iv)
22) (iii)
23) (i)
24) (i)
25) (iii)
26) (ii)
27) (iii)
28) (iv)
29) (iii)
30) (v)
31) (iii)
32) (ii)
33) (iv)
34) (i)
35) (i)
36) (iii)
37) (ii)
38) (v)
39) (iv)
40) (iii)
41) (i)
42) (i)
43) (iii)
44) (v)
45) (i)
46) (iv)
47) (iii)
48) (i)
49) (i)
50) (iii)
51) (i)
52) (i)
53) (v)
54) (ii)
55) (ii)
56) (iii)