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)