EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If 12 brushes cost ₹84, how much will 38 brushes cost?
(i)
₹279
(ii)
₹248
(iii)
₹272
(iv)
₹266
Question
2
2.
If 10 idlis cost ₹50, how many idlis can be purchased with ₹160?
(i)
35
(ii)
30
(iii)
33
(iv)
32
(v)
31
Question
3
3.
If 13 l of fruit drink costs ₹247, how much will 27 l cost?
(i)
₹528
(ii)
₹496
(iii)
₹490
(iv)
₹529
(v)
₹513
Question
4
4.
If 14 l of oil costs ₹238, how much of oil costs ₹527?
(i)
34 l
(ii)
31 l
(iii)
36 l
(iv)
28 l
(v)
26 l
Question
5
5.
If 18 men can make 36 birthday cakes in a day, how many birthday cakes are made by 20 men in a day?
(i)
40
(ii)
38
(iii)
41
(iv)
39
(v)
42
Question
6
6.
If 18 men can make 36 birthday cakes in a day, how many men are needed to make 48 birthday cakes in a day?
(i)
24
(ii)
26
(iii)
25
(iv)
23
(v)
21
Question
7
7.
If Vivek can read 234 pages in 13 hr, how many pages can he read in 17 hr?
(i)
309
(ii)
306
(iii)
307
(iv)
305
(v)
303
Question
8
8.
If Gopal can read 176 pages in 11 hr, he can read 160 pages in how many hours?
(i)
5 hr
(ii)
15 hr
(iii)
7 hr
(iv)
10 hr
(v)
13 hr
Question
9
9.
If Naveen can read 84 pages in a 168 pages book in 6 hr, how much more time will it take to complete the book?
(i)
4 hr
(ii)
8 hr
(iii)
5 hr
(iv)
6 hr
(v)
7 hr
Question
10
10.
If Arjun can make 126 pastries in 7 min, in how much time can he complete an order of 396 pastries ?
(i)
27 min
(ii)
17 min
(iii)
22 min
(iv)
25 min
(v)
19 min
Question
11
11.
If 105 men can do a piece of work in 60 days, how many men can do the same work in 75 days?
(i)
86
(ii)
85
(iii)
83
(iv)
82
(v)
84
Question
12
12.
If 72 men can do a piece of work in 88 days, 48 men can do the same work in how many days?
(i)
148 days
(ii)
149 days
(iii)
132 days
(iv)
117 days
(v)
114 days
Question
13
13.
If
18
men can build
1
3
of a wall in
45 days
,
in how much more time is the wall completely built ?
(i)
90 days
(ii)
95 days
(iii)
93 days
(iv)
87 days
(v)
85 days
Question
14
14.
A vehicle can cover certain distance in 154 min, running at a speed of 72 kmph. At what speed must the vehicle run to cover the same distance in 66 min?
(i)
146 kmph
(ii)
168 kmph
(iii)
166 kmph
(iv)
184 kmph
Question
15
15.
A vehicle can cover certain distance in 78 min, running at a speed of 55 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 30 kmph?
(i)
119 min
(ii)
148 min
(iii)
166 min
(iv)
143 min
(v)
139 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 518 km. He covers 296 km in 8 hr. In how much more time will he reach his destination?
(i)
5 hr
(ii)
4 hr
(iii)
8 hr
(iv)
6 hr
(v)
7 hr
Question
17
17.
The cost of 24 kg of brinjals is ₹528. How many kgs of brinjals can be purchased with ₹352 ?
(i)
21 kg
(ii)
11 kg
(iii)
13 kg
(iv)
19 kg
(v)
16 kg
Question
18
18.
The cost of 16 kg of potatoes is ₹448. How much has to be paid to purchase 18 kg of potatoes ?
(i)
₹512
(ii)
₹501
(iii)
₹504
(iv)
₹487
(v)
₹518
Question
19
19.
The weight of 19 rounds of copper wire is 570 kg. How many rounds of copper wire is present in 660 kg?
(i)
23
(ii)
21
(iii)
22
(iv)
25
(v)
20
Question
20
20.
24 men can dig a canal in 40 days working for 15 hr per day. How many men are required to complete the work in 45 days working for 4 hr per day?
(i)
81
(ii)
78
(iii)
80
(iv)
83
(v)
79
Question
21
21.
16 men can dig a trench in 15 days. But after working for 10 days, 9 men left. How many more days are required to complete the work?
(i)
11
5
7
days
(ii)
11
1
3
days
(iii)
11
3
5
days
(iv)
11
1
7
days
(v)
11
3
7
days
Question
22
22.
In a hostel mess there are provisions enough for 16 students for 19 days. If 7 more students join the hostel, how long will the provisions last ?
(i)
18.22 days
(ii)
16.22 days
(iii)
10.22 days
(iv)
13.22 days
(v)
8.22 days
Question
23
23.
In a hostel mess, there are provisions enough for 10 students for 11 days. After 7 days, 6 students left. How many more days will the provisions last ?
(i)
13.00 days
(ii)
7.00 days
(iii)
10.00 days
(iv)
5.00 days
(v)
15.00 days
Question
24
24.
A bus ticket fare for 19 km costs ₹75. How much is the fare for 20 km?
(i)
₹81.95
(ii)
₹73.95
(iii)
₹83.95
(iv)
₹78.95
(v)
₹75.95
Question
25
25.
The cost of 18 pens is ₹270 and 16 pencils is ₹80. With an amount of ₹305, 10 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
18
(ii)
17
(iii)
19
(iv)
15
(v)
16
Question
26
26.
The cost of 20 pens is ₹220 and 16 pencils is ₹112. With an amount of ₹238, 14 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
12
(ii)
10
(iii)
13
(iv)
11
(v)
14
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 ₹225 ?
(i)
₹25.50
(ii)
₹27.50
(iii)
₹22.50
(iv)
₹19.50
(v)
₹17.50
Question
28
28.
A group of pilgrims have to cover 22 km to reach a shrine. They walk 11 km in 19 hr. At what speed they have to walk to cover the remaining distance in 17 hr ?
(i)
1.65 kmph
(ii)
2.65 kmph
(iii)
8.65 kmph
(iv)
0.65 kmph
(v)
7.65 kmph
Question
29
29.
To stitch a shirt, 106 cm of cloth is needed. How much cloth is needed to stitch 8 shirts ?
(i)
875 cm
(ii)
848 cm
(iii)
853 cm
(iv)
822 cm
(v)
840 cm
Question
30
30.
10 m of cloth is required to stitch 9 dresses. How many meters of cloth is required to stitch 21 dresses?
(i)
20.33 m
(ii)
26.33 m
(iii)
18.33 m
(iv)
23.33 m
(v)
28.33 m
Question
31
31.
The cost of 6 dozen bananas is ₹258. What is the cost of 21 dozens ?
(i)
₹903
(ii)
₹886
(iii)
₹926
(iv)
₹885
(v)
₹907
Question
32
32.
14 mangoes weigh 9 kg. If 6 mangoes are needed, how many kgs have to be purchased?
(i)
1.86 kg
(ii)
2.86 kg
(iii)
3.86 kg
(iv)
5.86 kg
(v)
4.86 kg
Question
33
33.
27 men or 21 women can earn ₹1890 per day. How much is earned by 14 men and 19 women in a day?
(i)
₹2870
(ii)
₹2690
(iii)
₹2620
(iv)
₹2840
(v)
₹2550
Question
34
34.
The total wage of 8 labourers for 11 days is ₹34320. What will be the total wage of 15 labourers for 13 days ?
(i)
₹73750
(ii)
₹77250
(iii)
₹76050
(iv)
₹75750
(v)
₹77650
Question
35
35.
90 artisans can make 20 idols in 6 days. How many artisans are required to make 32 idols in 24 days ?
(i)
38
(ii)
34
(iii)
36
(iv)
37
(v)
35
Question
36
36.
14 workers working for 3 hr per day can dig a pit in 36 days. How many days are needed for 28 workers working 9 hr per day to dig the same pit?
(i)
8 days
(ii)
6 days
(iii)
7 days
(iv)
4 days
(v)
5 days
Question
37
37.
8 cows eat 1344 kg of grass in 12 days. How much of grass has to be procured to feed 14 cows for 11 days ?
(i)
2156 kg
(ii)
1996 kg
(iii)
2306 kg
(iv)
2076 kg
(v)
2286 kg
Question
38
38.
Cost of 8 toys of TypeA is ₹64 and 13 toys of TypeB is ₹169. Out of a sum of ₹255, 19 toys of TypeA are purchased. If 9 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹11
(ii)
₹9
(iii)
₹19
(iv)
₹17
(v)
₹14
Question
39
39.
11 men can make 275 baskets in 5 days. 4 women can make 56 baskets in 7 days. How many baskets are made by 6 men and 5 women in 9 days ?
(i)
358
(ii)
361
(iii)
359
(iv)
362
(v)
360
Question
40
40.
To irrigate 19 acres of a field, 70000 l of water is needed. If 6 more acres are brought under cultivation, how many lts of water is needed?
(i)
93805.26 l
(ii)
90505.26 l
(iii)
94705.26 l
(iv)
92105.26 l
(v)
90805.26 l
Question
41
41.
6 labourers can cultivate a field in 63 days working 4 hr per day. How many more labourers are needed to cultivate double the field in 12 days working 7 hr per day ?
(i)
31
(ii)
33
(iii)
30
(iv)
29
(v)
28
Question
42
42.
19 workers working 13 hr per day are paid ₹140790 for 19 days. How much has to be paid to 18 workers working 5 hr per day for 19 days ?
(i)
₹52900
(ii)
₹49800
(iii)
₹50000
(iv)
₹51300
(v)
₹53100
Question
43
43.
The air ticket charges for 32 persons for a flight is ₹167168, inclusive of ₹424 as airport tax per person. How much has to be paid if 14 persons drop out of the trip ?
(i)
₹94032
(ii)
₹94732
(iii)
₹92332
(iv)
₹96632
(v)
₹92832
Question
44
44.
The specification on a printer says that it prints 3200 pages in 40 min. If 6000 pages have to be printed, how long will it take ?
(i)
72 min
(ii)
80 min
(iii)
70 min
(iv)
75 min
(v)
78 min
Question
45
45.
13 gm of gold costs ₹29900. What is the cost of 39 gm ?
(i)
₹90300
(ii)
₹90900
(iii)
₹88400
(iv)
₹88500
(v)
₹89700
Question
46
46.
A banker gave foreign exchange of $18 for ₹576. How many dollars will the customer get for ₹832 ?
(i)
$31
(ii)
$29
(iii)
$26
(iv)
$21
(v)
$23
Question
47
47.
11 workers take 17 days to build a room. After working for 5 days, 6 workers left. In how many more days is the room built ?
(i)
21.40 days
(ii)
23.40 days
(iii)
26.40 days
(iv)
29.40 days
(v)
31.40 days
Question
48
48.
A can do
1
4
of a particular work in
5 days
.
B can do
1
2
of the same work in
9 days
.
C can do
1
13
of the same work in
12 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
8
120
131
days
(ii)
8
106
133
days
(iii)
9
3
43
days
(iv)
8
124
131
days
(v)
8
122
131
days
Question
49
49.
A journey consists of three legs. First 48 km are travelled at a speed of 60 kmph. Next 27 km are travelled at a speed of 90 kmph. Last 168 km are travelled at a speed of 140 kmph. Find the total time taken to complete the journey.
(i)
2
1
2
hr
(ii)
1
11
12
hr
(iii)
2
1
10
hr
(iv)
2
7
8
hr
(v)
2
3
10
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 15 gm/sec, 11 gm/sec and 6 gm/sec respectively. If the amount of food to be eaten is 15.36 kg, in how much time is it consumed if all three participants start eating together ?
(i)
9
min
(ii)
8
min
(iii)
10
min
(iv)
7
min
(v)
5
min
Question
51
51.
In a certain exam, for every correct answer, 10 marks are added. For every wrong answer 3 marks are subtracted. A student attempted 48 questions and secured 376 marks. How many answers are correct and how many are wrong?
(i)
40 correct and 8 wrong
(ii)
39 correct and 9 wrong
(iii)
41 correct and 7 wrong
(iv)
38 correct and 10 wrong
(v)
42 correct and 6 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
14
workers in
9 days
.
Stage2 work can be done by
6
workers in
12 days
.
Stage3 work can be done by
15
workers in
11 days
.
If
7
,
13
and
8
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
44
19
104
days
(ii)
44
15
104
days
(iii)
44
17
106
days
(iv)
44
17
104
days
(v)
44
1
6
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
-
30
13
30
-
40
18
40
-
60
23
60
-
remaining
28
How much amount has to be paid if the consumption is
7 kl
.
(i)
₹96
(ii)
₹94
(iii)
₹88
(iv)
₹91
(v)
₹86
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
11
20
-
40
16
40
-
50
21
50
-
remaining
26
How much amount has to be paid if the consumption is
34 kl
.
(i)
₹429
(ii)
₹444
(iii)
₹417
(iv)
₹468
(v)
₹460
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
-
50
25
50
-
70
30
70
-
remaining
35
How much amount has to be paid if the consumption is
55 kl
.
(i)
₹1320
(ii)
₹1200
(iii)
₹920
(iv)
₹1370
(v)
₹1140
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
-
70
14
70
-
80
19
80
-
90
24
90
-
remaining
29
How much amount has to be paid if the consumption is
99 kl
.
(i)
₹1671
(ii)
₹1911
(iii)
₹1451
(iv)
₹1801
(v)
₹1521
Assignment Key
1) (iv)
2) (iv)
3) (v)
4) (ii)
5) (i)
6) (i)
7) (ii)
8) (iv)
9) (iv)
10) (iii)
11) (v)
12) (iii)
13) (i)
14) (ii)
15) (iv)
16) (iv)
17) (v)
18) (iii)
19) (iii)
20) (iii)
21) (v)
22) (iv)
23) (iii)
24) (iv)
25) (ii)
26) (i)
27) (iii)
28) (iv)
29) (ii)
30) (iv)
31) (i)
32) (iii)
33) (ii)
34) (iii)
35) (iii)
36) (ii)
37) (i)
38) (v)
39) (v)
40) (iv)
41) (iii)
42) (iv)
43) (i)
44) (iv)
45) (v)
46) (iii)
47) (iii)
48) (v)
49) (v)
50) (ii)
51) (i)
52) (iv)
53) (iv)
54) (ii)
55) (ii)
56) (i)