EduSahara™ Assignment
Name : Unitary Method Problems
Chapter : Unitary Method
Grade : ICSE Grade VII
License : Non Commercial Use
Question
1
1.
If 5 cookies cost ₹30, how much will 28 cookies cost?
(i)
₹181
(ii)
₹143
(iii)
₹168
(iv)
₹152
(v)
₹190
Question
2
2.
If 14 dolls cost ₹70, how many dolls can be purchased with ₹130?
(i)
27
(ii)
25
(iii)
29
(iv)
26
(v)
24
Question
3
3.
If 9 l of cooking oil costs ₹144, how much will 29 l cost?
(i)
₹456
(ii)
₹439
(iii)
₹480
(iv)
₹481
(v)
₹464
Question
4
4.
If 11 l of fruit drink costs ₹165, how much of fruit drink costs ₹450?
(i)
27 l
(ii)
33 l
(iii)
35 l
(iv)
25 l
(v)
30 l
Question
5
5.
If 17 men can make 68 toy cars in a day, how many toy cars are made by 16 men in a day?
(i)
63
(ii)
65
(iii)
61
(iv)
67
(v)
64
Question
6
6.
If 15 men can make 90 candles in a day, how many men are needed to make 120 candles in a day?
(i)
17
(ii)
22
(iii)
20
(iv)
21
(v)
19
Question
7
7.
If Martin can read 187 pages in 11 hr, how many pages can he read in 12 hr?
(i)
201
(ii)
203
(iii)
207
(iv)
205
(v)
204
Question
8
8.
If Varun can read 143 pages in 13 hr, he can read 220 pages in how many hours?
(i)
17 hr
(ii)
20 hr
(iii)
23 hr
(iv)
15 hr
(v)
25 hr
Question
9
9.
If Kalyan can read 36 pages in a 144 pages book in 3 hr, how much more time will it take to complete the book?
(i)
8 hr
(ii)
11 hr
(iii)
10 hr
(iv)
7 hr
(v)
9 hr
Question
10
10.
If Kalyan can make 70 donuts in 5 min, in how much time can he complete an order of 420 donuts ?
(i)
30 min
(ii)
27 min
(iii)
35 min
(iv)
25 min
(v)
33 min
Question
11
11.
If 130 men can do a piece of work in 98 days, how many men can do the same work in 91 days?
(i)
141
(ii)
140
(iii)
143
(iv)
139
(v)
137
Question
12
12.
If 108 men can do a piece of work in 48 days, 96 men can do the same work in how many days?
(i)
49 days
(ii)
51 days
(iii)
59 days
(iv)
54 days
(v)
57 days
Question
13
13.
If
12
men can build
1
10
of a wall in
39 days
,
in how much more time is the wall completely built ?
(i)
376 days
(ii)
345 days
(iii)
351 days
(iv)
367 days
(v)
338 days
Question
14
14.
A vehicle can cover certain distance in 91 min, running at a speed of 30 kmph. At what speed must the vehicle run to cover the same distance in 78 min?
(i)
38 kmph
(ii)
35 kmph
(iii)
32 kmph
(iv)
40 kmph
(v)
30 kmph
Question
15
15.
A vehicle can cover certain distance in 126 min, running at a speed of 60 kmph. In how many minutes, the vehicle covers the same distance running at a speed of 84 kmph?
(i)
85 min
(ii)
87 min
(iii)
93 min
(iv)
95 min
(v)
90 min
Question
16
16.
A person has to travel from one town to another town which is at a distance of 936 km. He covers 540 km in 15 hr. In how much more time will he reach his destination?
(i)
11 hr
(ii)
14 hr
(iii)
6 hr
(iv)
8 hr
(v)
16 hr
Question
17
17.
The cost of 15 kg of carrots is ₹405. How many kgs of carrots can be purchased with ₹324 ?
(i)
9 kg
(ii)
12 kg
(iii)
7 kg
(iv)
15 kg
(v)
17 kg
Question
18
18.
The cost of 20 kg of pumpkins is ₹420. How much has to be paid to purchase 17 kg of pumpkins ?
(i)
₹357
(ii)
₹342
(iii)
₹384
(iv)
₹350
(v)
₹369
Question
19
19.
The weight of 17 rounds of copper wire is 459 kg. How many rounds of copper wire is present in 675 kg?
(i)
26
(ii)
25
(iii)
24
(iv)
22
(v)
27
Question
20
20.
56 men can dig a canal in 36 days working for 14 hr per day. How many men are required to complete the work in 98 days working for 9 hr per day?
(i)
29
(ii)
35
(iii)
32
(iv)
31
(v)
33
Question
21
21.
13 men can dig a trench in 13 days. But after working for 9 days, 9 men left. How many more days are required to complete the work?
(i)
13
days
(ii)
14
days
(iii)
12
days
(iv)
16
days
(v)
10
days
Question
22
22.
In a hostel mess there are provisions enough for 18 students for 16 days. If 11 more students join the hostel, how long will the provisions last ?
(i)
11.93 days
(ii)
9.93 days
(iii)
8.93 days
(iv)
7.93 days
(v)
10.93 days
Question
23
23.
In a hostel mess, there are provisions enough for 10 students for 13 days. After 9 days, 8 students left. How many more days will the provisions last ?
(i)
20.00 days
(ii)
25.00 days
(iii)
15.00 days
(iv)
23.00 days
(v)
17.00 days
Question
24
24.
A bus ticket fare for 12 km costs ₹52. How much is the fare for 11 km?
(i)
₹44.67
(ii)
₹47.67
(iii)
₹42.67
(iv)
₹50.67
(v)
₹52.67
Question
25
25.
The cost of 12 pens is ₹204 and 10 pencils is ₹60. With an amount of ₹340, 17 pencils are purchased. How many pens can be purchased with the remaining amount ?
(i)
17
(ii)
15
(iii)
12
(iv)
13
(v)
14
Question
26
26.
The cost of 19 pens is ₹304 and 18 pencils is ₹108. With an amount of ₹340, 16 pens are purchased. How many pencils can be purchased with the remaining amount ?
(i)
13
(ii)
16
(iii)
15
(iv)
14
(v)
12
Question
27
27.
The sales tax for ₹100 of a bill is ₹13. How much sales tax has to be paid for a bill of ₹231 ?
(i)
₹33.03
(ii)
₹35.03
(iii)
₹25.03
(iv)
₹30.03
(v)
₹27.03
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 9 hr ?
(i)
2.22 kmph
(ii)
3.22 kmph
(iii)
0.22 kmph
(iv)
9.22 kmph
(v)
1.22 kmph
Question
29
29.
To stitch a shirt, 121 cm of cloth is needed. How much cloth is needed to stitch 10 shirts ?
(i)
1270 cm
(ii)
1210 cm
(iii)
1430 cm
(iv)
1050 cm
(v)
930 cm
Question
30
30.
15 m of cloth is required to stitch 7 dresses. How many meters of cloth is required to stitch 17 dresses?
(i)
31.43 m
(ii)
39.43 m
(iii)
41.43 m
(iv)
36.43 m
(v)
33.43 m
Question
31
31.
The cost of 9 dozen bananas is ₹405. What is the cost of 15 dozens ?
(i)
₹662
(ii)
₹677
(iii)
₹699
(iv)
₹675
(v)
₹653
Question
32
32.
10 mangoes weigh 9 kg. If 7 mangoes are needed, how many kgs have to be purchased?
(i)
7.30 kg
(ii)
4.30 kg
(iii)
8.30 kg
(iv)
5.30 kg
(v)
6.30 kg
Question
33
33.
56 men or 28 women can earn ₹2240 per day. How much is earned by 16 men and 13 women in a day?
(i)
₹1400
(ii)
₹1850
(iii)
₹1680
(iv)
₹1630
(v)
₹1860
Question
34
34.
The total wage of 11 labourers for 18 days is ₹71280. What will be the total wage of 10 labourers for 7 days ?
(i)
₹26800
(ii)
₹23900
(iii)
₹25200
(iv)
₹27000
(v)
₹24700
Question
35
35.
21 artisans can make 56 idols in 40 days. How many artisans are required to make 90 idols in 50 days ?
(i)
28
(ii)
26
(iii)
25
(iv)
27
(v)
29
Question
36
36.
20 workers working for 6 hr per day can dig a pit in 24 days. How many days are needed for 15 workers working 8 hr per day to dig the same pit?
(i)
19 days
(ii)
27 days
(iii)
21 days
(iv)
24 days
(v)
29 days
Question
37
37.
6 cows eat 840 kg of grass in 14 days. How much of grass has to be procured to feed 5 cows for 11 days ?
(i)
567 kg
(ii)
550 kg
(iii)
553 kg
(iv)
546 kg
(v)
532 kg
Question
38
38.
Cost of 20 toys of TypeA is ₹120 and 18 toys of TypeB is ₹306. Out of a sum of ₹215, 6 toys of TypeA are purchased. If 17 toys of TypeB have to be purchased, how much extra amount is needed?
(i)
₹110
(ii)
₹106
(iii)
₹117
(iv)
₹85
(v)
₹122
Question
39
39.
8 men can make 384 baskets in 8 days. 2 women can make 80 baskets in 10 days. How many baskets are made by 10 men and 2 women in 6 days ?
(i)
407
(ii)
410
(iii)
406
(iv)
409
(v)
408
Question
40
40.
To irrigate 14 acres of a field, 70000 l of water is needed. If 9 more acres are brought under cultivation, how many lts of water is needed?
(i)
97000.00 l
(ii)
115000.00 l
(iii)
118000.00 l
(iv)
139000.00 l
(v)
111000.00 l
Question
41
41.
20 labourers can cultivate a field in 12 days working 3 hr per day. How many more labourers are needed to cultivate double the field in 12 days working 2 hr per day ?
(i)
40
(ii)
39
(iii)
43
(iv)
41
(v)
38
Question
42
42.
18 workers working 10 hr per day are paid ₹135000 for 15 days. How much has to be paid to 12 workers working 9 hr per day for 15 days ?
(i)
₹79800
(ii)
₹81800
(iii)
₹79600
(iv)
₹81000
(v)
₹83600
Question
43
43.
The air ticket charges for 32 persons for a flight is ₹112864, inclusive of ₹127 as airport tax per person. How much has to be paid if 16 persons drop out of the trip ?
(i)
₹57832
(ii)
₹56432
(iii)
₹55632
(iv)
₹58732
(v)
₹53732
Question
44
44.
The specification on a printer says that it prints 1000 pages in 10 min. If 9500 pages have to be printed, how long will it take ?
(i)
92 min
(ii)
98 min
(iii)
95 min
(iv)
100 min
(v)
90 min
Question
45
45.
13 gm of gold costs ₹37700. What is the cost of 28 gm ?
(i)
₹81200
(ii)
₹82800
(iii)
₹79900
(iv)
₹80400
(v)
₹81600
Question
46
46.
A banker gave foreign exchange of $20 for ₹1040. How many dollars will the customer get for ₹1456 ?
(i)
$25
(ii)
$33
(iii)
$23
(iv)
$28
(v)
$31
Question
47
47.
14 workers take 12 days to build a room. After working for 7 days, 7 workers left. In how many more days is the room built ?
(i)
15.00 days
(ii)
7.00 days
(iii)
5.00 days
(iv)
13.00 days
(v)
10.00 days
Question
48
48.
A can do
1
8
of a particular work in
7 days
.
B can do
1
13
of the same work in
4 days
.
C can do
1
9
of the same work in
10 days
.
If A, B and C work together, in how many days is the work completed ?
(i)
20
1220
1577
days
(ii)
20
1178
1579
days
(iii)
20
380
527
days
(iv)
20
1180
1579
days
(v)
20
1182
1579
days
Question
49
49.
A journey consists of three legs. First 120 km are travelled at a speed of 150 kmph. Next 132 km are travelled at a speed of 110 kmph. Last 70 km are travelled at a speed of 100 kmph. Find the total time taken to complete the journey.
(i)
3
3
8
hr
(ii)
2
7
10
hr
(iii)
2
1
2
hr
(iv)
2
1
4
hr
(v)
2
9
10
hr
Question
50
50.
In an eating contest, the eating capacities of A, B and C are 14 gm/sec, 12 gm/sec and 11 gm/sec respectively. If the amount of food to be eaten is 11.1 kg, in how much time is it consumed if all three participants start eating together ?
(i)
5
min
(ii)
2
min
(iii)
6
min
(iv)
4
min
(v)
8
min
Question
51
51.
In a certain exam, for every correct answer, 8 marks are added. For every wrong answer 6 marks are subtracted. A student attempted 39 questions and secured 242 marks. How many answers are correct and how many are wrong?
(i)
35 correct and 4 wrong
(ii)
32 correct and 7 wrong
(iii)
34 correct and 5 wrong
(iv)
33 correct and 6 wrong
(v)
36 correct and 3 wrong
Question
52
52.
A production line consists of three stages to be completed serially.
Stage1 work can be done by
15
workers in
9 days
.
Stage2 work can be done by
12
workers in
14 days
.
Stage3 work can be done by
6
workers in
10 days
.
If
13
,
5
and
10
workers are hired to do
Stage1, Stage2 and Stage3 works respectively,
in how many days is the work completed ?
(i)
49
64
67
days
(ii)
49
64
65
days
(iii)
50
1
65
days
(iv)
50
1
63
days
(v)
49
62
65
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
10
30
-
50
15
50
-
70
20
70
-
remaining
25
How much amount has to be paid if the consumption is
16 kl
.
(i)
₹172
(ii)
₹185
(iii)
₹148
(iv)
₹147
(v)
₹160
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
20
20
-
40
25
40
-
60
30
60
-
remaining
35
How much amount has to be paid if the consumption is
29 kl
.
(i)
₹598
(ii)
₹637
(iii)
₹618
(iv)
₹633
(v)
₹625
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
19
30
-
40
24
40
-
90
29
90
-
remaining
34
How much amount has to be paid if the consumption is
49 kl
.
(i)
₹1311
(ii)
₹951
(iii)
₹1071
(iv)
₹991
(v)
₹1121
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
-
40
17
40
-
70
22
70
-
80
27
80
-
remaining
32
How much amount has to be paid if the consumption is
96 kl
.
(i)
₹2352
(ii)
₹2122
(iii)
₹2282
(iv)
₹1982
(v)
₹1942
Assignment Key
1) (iii)
2) (iv)
3) (v)
4) (v)
5) (v)
6) (iii)
7) (v)
8) (ii)
9) (v)
10) (i)
11) (ii)
12) (iv)
13) (iii)
14) (ii)
15) (v)
16) (i)
17) (ii)
18) (i)
19) (ii)
20) (iii)
21) (i)
22) (ii)
23) (i)
24) (ii)
25) (v)
26) (iv)
27) (iv)
28) (v)
29) (ii)
30) (iv)
31) (iv)
32) (v)
33) (iii)
34) (iii)
35) (iv)
36) (iv)
37) (ii)
38) (i)
39) (v)
40) (ii)
41) (i)
42) (iv)
43) (ii)
44) (iii)
45) (i)
46) (iv)
47) (v)
48) (iv)
49) (ii)
50) (i)
51) (iii)
52) (ii)
53) (v)
54) (v)
55) (iii)
56) (ii)