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

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  •  56) (i)