EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If 11 pens cost ₹88, how much will 36 pens cost?
(i)
₹302
(ii)
₹273
(iii)
₹288
(iv)
₹270
(v)
₹291
Question
2
2.
If 7 dosas cost ₹42, how many dosas can be purchased with ₹198?
(i)
33
(ii)
32
(iii)
34
(iv)
31
(v)
36
Question
3
3.
If 15 l of water costs ₹195, how much will 33 l cost?
(i)
₹412
(ii)
₹429
(iii)
₹446
(iv)
₹437
(v)
₹417
Question
4
4.
If 10 l of groundnut oil costs ₹170, how much of groundnut oil costs ₹646?
(i)
43 l
(ii)
35 l
(iii)
41 l
(iv)
33 l
(v)
38 l
Question
5
5.
If 19 men can make 114 gift packages in a day, how many gift packages are made by 18 men in a day?
(i)
108
(ii)
107
(iii)
110
(iv)
109
(v)
105
Question
6
6.
If 12 men can make 24 candles in a day, how many men are needed to make 30 candles in a day?
(i)
13
(ii)
16
(iii)
14
(iv)
18
(v)
15
Question
7
7.
If Karthik can read 220 pages in 11 hr, how many pages can he read in 16 hr?
(i)
321
(ii)
318
(iii)
322
(iv)
320
(v)
319
Question
8
8.
If Kumar can read 260 pages in 20 hr, he can read 169 pages in how many hours?
(i)
16 hr
(ii)
13 hr
(iii)
18 hr
(iv)
10 hr
(v)
8 hr
Question
9
9.
If Vikram can read 100 pages in a 180 pages book in 5 hr, how much more time will it take to complete the book?
(i)
6 hr
(ii)
2 hr
(iii)
3 hr
(iv)
4 hr
(v)
5 hr
Question
10
10.
If Surya can make 95 pizzas in 5 min, in how much time can he complete an order of 456 pizzas ?
(i)
19 min
(ii)
21 min
(iii)
29 min
(iv)
27 min
(v)
24 min
Question
11
11.
If 55 men can do a piece of work in 54 days, how many men can do the same work in 30 days?
(i)
100
(ii)
96
(iii)
99
(iv)
98
(v)
102
Question
12
12.
If 30 men can do a piece of work in 88 days, 55 men can do the same work in how many days?
(i)
53 days
(ii)
48 days
(iii)
51 days
(iv)
43 days
(v)
45 days
Question
13
13.
If
20
men can build
1
7
of a wall in
34 days
,
in how much more time is the wall completely built ?
(i)
216 days
(ii)
190 days
(iii)
217 days
(iv)
204 days
Question
14
14.
A vehicle can cover certain distance in 45 min, running at a speed of 80 kmph. At what speed must the vehicle run to cover the same distance in 50 min?
(i)
67 kmph
(ii)
72 kmph
(iii)
75 kmph
(iv)
77 kmph
(v)
69 kmph
Question
15
15.
A vehicle can cover certain distance in 110 min, running at a speed of 63 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 99 kmph?
(i)
65 min
(ii)
75 min
(iii)
67 min
(iv)
73 min
(v)
70 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 510 km. He covers 180 km in 6 hr. In how much more time will he reach his destination?
(i)
8 hr
(ii)
14 hr
(iii)
6 hr
(iv)
16 hr
(v)
11 hr
Question
17
17.
The cost of 25 kg of brinjals is ₹700. How many kgs of brinjals can be purchased with ₹336 ?
(i)
15 kg
(ii)
9 kg
(iii)
7 kg
(iv)
17 kg
(v)
12 kg
Question
18
18.
The cost of 19 kg of chillies is ₹456. How much has to be paid to purchase 20 kg of chillies ?
(i)
₹468
(ii)
₹494
(iii)
₹482
(iv)
₹464
(v)
₹480
Question
19
19.
The weight of 21 rounds of copper wire is 504 kg. How many rounds of copper wire is present in 336 kg?
(i)
15
(ii)
12
(iii)
14
(iv)
13
(v)
16
Question
20
20.
30 men can dig a canal in 150 days working for 7 hr per day. How many men are required to complete the work in 42 days working for 10 hr per day?
(i)
75
(ii)
73
(iii)
74
(iv)
76
(v)
77
Question
21
21.
13 men can dig a trench in 12 days. But after working for 5 days, 10 men left. How many more days are required to complete the work?
(i)
30
1
5
days
(ii)
31
days
(iii)
30
1
3
days
(iv)
29
2
3
days
Question
22
22.
In a hostel mess there are provisions enough for 17 students for 18 days. If 7 more students join the hostel, how long will the provisions last ?
(i)
17.75 days
(ii)
15.75 days
(iii)
9.75 days
(iv)
12.75 days
(v)
7.75 days
Question
23
23.
In a hostel mess, there are provisions enough for 14 students for 20 days. After 18 days, 11 students left. How many more days will the provisions last ?
(i)
7.33 days
(ii)
11.33 days
(iii)
9.33 days
(iv)
10.33 days
(v)
8.33 days
Question
24
24.
A bus ticket fare for 10 km costs ₹91. How much is the fare for 11 km?
(i)
₹126.10
(ii)
₹100.10
(iii)
₹85.10
(iv)
₹118.10
(v)
₹76.10
Question
25
25.
The cost of 12 pens is ₹132 and 18 pencils is ₹180. With an amount of ₹220, 11 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
10
(ii)
8
(iii)
11
(iv)
13
(v)
9
Question
26
26.
The cost of 14 pens is ₹210 and 19 pencils is ₹171. With an amount of ₹462, 20 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
16
(ii)
19
(iii)
17
(iv)
18
(v)
21
Question
27
27.
The sales tax for ₹100 of a bill is ₹18. How much sales tax has to be paid for a bill of ₹415 ?
(i)
₹69.70
(ii)
₹71.70
(iii)
₹79.70
(iv)
₹74.70
(v)
₹77.70
Question
28
28.
A group of pilgrims have to cover 25 km to reach a shrine. They walk 18 km in 15 hr. At what speed they have to walk to cover the remaining distance in 5 hr ?
(i)
0.40 kmph
(ii)
1.40 kmph
(iii)
2.40 kmph
(iv)
9.40 kmph
(v)
3.40 kmph
Question
29
29.
To stitch a shirt, 104 cm of cloth is needed. How much cloth is needed to stitch 5 shirts ?
(i)
505 cm
(ii)
537 cm
(iii)
548 cm
(iv)
508 cm
(v)
520 cm
Question
30
30.
17 m of cloth is required to stitch 6 dresses. How many meters of cloth is required to stitch 17 dresses?
(i)
48.17 m
(ii)
51.17 m
(iii)
43.17 m
(iv)
53.17 m
(v)
45.17 m
Question
31
31.
The cost of 9 dozen bananas is ₹360. What is the cost of 27 dozens ?
(i)
₹1360
(ii)
₹1080
(iii)
₹910
(iv)
₹1050
(v)
₹1140
Question
32
32.
13 mangoes weigh 5 kg. If 10 mangoes are needed, how many kgs have to be purchased?
(i)
5.85 kg
(ii)
3.85 kg
(iii)
1.85 kg
(iv)
4.85 kg
(v)
2.85 kg
Question
33
33.
20 men or 15 women can earn ₹600 per day. How much is earned by 11 men and 15 women in a day?
(i)
₹914
(ii)
₹930
(iii)
₹943
(iv)
₹917
(v)
₹952
Question
34
34.
The total wage of 18 labourers for 20 days is ₹100800. What will be the total wage of 8 labourers for 17 days ?
(i)
₹35880
(ii)
₹36480
(iii)
₹38080
(iv)
₹39780
(v)
₹39580
Question
35
35.
28 artisans can make 32 idols in 48 days. How many artisans are required to make 27 idols in 54 days ?
(i)
23
(ii)
20
(iii)
21
(iv)
19
(v)
22
Question
36
36.
56 workers working for 6 hr per day can dig a pit in 18 days. How many days are needed for 72 workers working 2 hr per day to dig the same pit?
(i)
37 days
(ii)
42 days
(iii)
39 days
(iv)
47 days
(v)
45 days
Question
37
37.
16 cows eat 2112 kg of grass in 12 days. How much of grass has to be procured to feed 17 cows for 15 days ?
(i)
2645 kg
(ii)
2635 kg
(iii)
2825 kg
(iv)
2955 kg
(v)
2805 kg
Question
38
38.
Cost of 15 toys of TypeA is ₹135 and 11 toys of TypeB is ₹187. Out of a sum of ₹195, 7 toys of TypeA are purchased. If 13 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹92
(ii)
₹89
(iii)
₹86
(iv)
₹84
(v)
₹94
Question
39
39.
7 men can make 560 baskets in 10 days. 8 women can make 288 baskets in 9 days. How many baskets are made by 3 men and 8 women in 5 days ?
(i)
281
(ii)
277
(iii)
282
(iv)
280
(v)
279
Question
40
40.
To irrigate 13 acres of a field, 90000 l of water is needed. If 7 more acres are brought under cultivation, how many lts of water is needed?
(i)
136461.54 l
(ii)
151461.54 l
(iii)
160461.54 l
(iv)
112461.54 l
(v)
138461.54 l
Question
41
41.
40 labourers can cultivate a field in 45 days working 7 hr per day. How many more labourers are needed to cultivate double the field in 70 days working 9 hr per day ?
(i)
0
(ii)
(-1)
(iii)
(-2)
(iv)
3
(v)
1
Question
42
42.
12 workers working 10 hr per day are paid ₹192000 for 20 days. How much has to be paid to 14 workers working 10 hr per day for 19 days ?
(i)
₹224800
(ii)
₹212800
(iii)
₹200800
(iv)
₹236800
(v)
₹207800
Question
43
43.
The air ticket charges for 35 persons for a flight is ₹256620, inclusive of ₹432 as airport tax per person. How much has to be paid if 20 persons drop out of the trip ?
(i)
₹109980
(ii)
₹102980
(iii)
₹125980
(iv)
₹97980
(v)
₹127980
Question
44
44.
The specification on a printer says that it prints 300 pages in 5 min. If 4200 pages have to be printed, how long will it take ?
(i)
70 min
(ii)
65 min
(iii)
73 min
(iv)
67 min
(v)
75 min
Question
45
45.
18 gm of gold costs ₹46800. What is the cost of 40 gm ?
(i)
₹76000
(ii)
₹117000
(iii)
₹98000
(iv)
₹104000
(v)
₹130000
Question
46
46.
A banker gave foreign exchange of $15 for ₹900. How many dollars will the customer get for ₹1560 ?
(i)
$26
(ii)
$31
(iii)
$21
(iv)
$29
(v)
$23
Question
47
47.
13 workers take 15 days to build a room. After working for 10 days, 8 workers left. In how many more days is the room built ?
(i)
16.00 days
(ii)
8.00 days
(iii)
13.00 days
(iv)
10.00 days
(v)
18.00 days
Question
48
48.
A can do
1
2
of a particular work in
6 days
.
B can do
1
12
of the same work in
11 days
.
C can do
1
14
of the same work in
13 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
10
4
15
days
(ii)
10
74
193
days
(iii)
10
72
193
days
(iv)
10
70
193
days
(v)
10
92
191
days
Question
49
49.
A journey consists of three legs. First 54 km are travelled at a speed of 60 kmph. Next 140 km are travelled at a speed of 100 kmph. Last 33 km are travelled at a speed of 110 kmph. Find the total time taken to complete the journey.
(i)
3
1
4
hr
(ii)
2
4
5
hr
(iii)
2
1
6
hr
(iv)
2
3
5
hr
(v)
2
2
5
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 8 gm/sec, 9 gm/sec and 11 gm/sec respectively. If the amount of food to be eaten is 23.52 kg, in how much time is it consumed if all three participants start eating together ?
(i)
16
min
(ii)
12
min
(iii)
14
min
(iv)
15
min
(v)
13
min
Question
51
51.
In a certain exam, for every correct answer, 9 marks are added. For every wrong answer 6 marks are subtracted. A student attempted 46 questions and secured 339 marks. How many answers are correct and how many are wrong?
(i)
43 correct and 3 wrong
(ii)
41 correct and 5 wrong
(iii)
40 correct and 6 wrong
(iv)
42 correct and 4 wrong
(v)
39 correct and 7 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
9
workers in
6 days
.
Stage2 work can be done by
10
workers in
8 days
.
Stage3 work can be done by
15
workers in
12 days
.
If
9
,
5
and
10
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
40
days
(ii)
37
days
(iii)
43
days
(iv)
41
days
(v)
39
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
17
30
-
40
22
40
-
80
27
80
-
remaining
32
How much amount has to be paid if the consumption is
18 kl
.
(i)
₹282
(ii)
₹303
(iii)
₹306
(iv)
₹318
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
14
20
-
60
19
60
-
70
24
70
-
remaining
29
How much amount has to be paid if the consumption is
41 kl
.
(i)
₹679
(ii)
₹675
(iii)
₹661
(iv)
₹692
(v)
₹686
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
-
20
16
20
-
40
21
40
-
70
26
70
-
remaining
31
How much amount has to be paid if the consumption is
63 kl
.
(i)
₹1278
(ii)
₹1198
(iii)
₹1368
(iv)
₹1338
(v)
₹1558
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
20
20
-
50
25
50
-
70
30
70
-
remaining
35
How much amount has to be paid if the consumption is
77 kl
.
(i)
₹1855
(ii)
₹2235
(iii)
₹1875
(iv)
₹2125
(v)
₹1995
Assignment Key
1) (iii)
2) (i)
3) (ii)
4) (v)
5) (i)
6) (v)
7) (iv)
8) (ii)
9) (iv)
10) (v)
11) (iii)
12) (ii)
13) (iv)
14) (ii)
15) (v)
16) (v)
17) (v)
18) (v)
19) (iii)
20) (i)
21) (iii)
22) (iv)
23) (iii)
24) (ii)
25) (i)
26) (iv)
27) (iv)
28) (ii)
29) (v)
30) (i)
31) (ii)
32) (ii)
33) (ii)
34) (iii)
35) (iii)
36) (ii)
37) (v)
38) (ii)
39) (iv)
40) (v)
41) (i)
42) (ii)
43) (i)
44) (i)
45) (iv)
46) (i)
47) (iii)
48) (iii)
49) (iv)
50) (iii)
51) (ii)
52) (i)
53) (iii)
54) (i)
55) (iv)
56) (v)