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Directions (1 – 5): Study the following information carefully and answer the questions given below:
In the following bar graph and table, all the data are given in Km/h.
1) Time taken by Sumita to travel 210 km upstream on Monday is what percent of the time taken by Suman to travel the same distance downstream on the same day?
a) 210%
b) 130%
c) 143%
d) 164%
e) None of these
2) Find the difference between upstream distance travelled by Sumita in 9 hours on Sunday, Monday and Tuesday together and downstream distance travelled by Suman in 8 hours on Sunday, Monday and Tuesday together.
a) 210 km
b) 170 km
c) 240 km
d) 130 km
e) None of these
3) Find the respective ratio of sum of downstream speeds of Sumita on Wednesday and Thursday and sum of upstream speeds of Suman on Friday and Saturday.
a) 23:19
b) 25:17
c) 19:23
d) 17:25
e) None of these
4) Upstream distance travelled by Sumita in 5 hours in all the days together is what percent of the upstream distance travelled by Suman in 3 hours in all the days together?
a) 103.13%
b) 105.23%
c) 120.37%
d) 111.37%
e) None of these
5) Find the sum of the time taken by Sumita to travel 160 km downstream in all the days together.
a) 78.14 hours
b) 82.56 hours
c) 80.35 hours
d) 66.24 hours
e) None of these
Directions (6 – 10): Study the following information carefully and answer the questions given below:
6) Find the number of days taken by Anu, Ranu, Monu and Bonu together to complete the work.
a) 6(49/67) days
b) 4(52/67) days
c) 5(55/67) days
d) 3(51/67) days
e) None of these
7) Efficiency of Anu and Renu together is what percent of efficiency of Tanu and Ranu together?
a) 142.105%
b) 110.345%
c) 132.102%
d) 98.134%
e) None of these
8) Find the respective ratio of number of days taken by Sonu and Monu together to complete the work and number of days taken by Bonu and Tonu together to complete the work.
a) 47:34
b) 45:56
c) 56:45
d) 34:47
e) None of these
9) Renu and Minu started the work together and left after 5 days. In how many days Tonu and Tinu together can complete the remaining work?
a) 81/17 days
b) 85/17 days
c) 81/39 days
d) 85/39 days
e) None of these
10) Find the number of days taken by Sonu, Monu, Bonu, Tonu and Tinu together to complete the work.
a) 3(1020/2017) days
b) 3(1002/2019) days
c) 2(1002/2017) days
d) 2(1002/2019) days
e) None of these
Answers:
Direction (1-5)
1) Answer: c)
Upstream speed of Sumita on Monday = 16 – 2 = 14 km/h
Time taken by Sumita to travel 210 km upstream on Monday = 210/14 = 15 hours
Downstream speed of Suman on Monday = 18 + 2 = 20 km/h
Time taken by Suman to travel 210 km downstream on Monday = 210/20 = 10.5 hours
Required percentage = 15/10.5 x 100 = 142.8 %= 143%
2). Answer: a)
Upstream speed of Sumita on:
Sunday = (14 – 4) = 10 km/h
Monday = (16 – 2) = 14 km/h
Tuesday = (12 – 6) = 6 km/h
Downstream speed of Suman on:
Sunday = (16 + 4) = 20 km/h
Monday = (18 + 2) = 20 km/h
Tuesday = (14 + 6) = 20 km/h
Upstream distance travelled by Sumita in 9 hours on Sunday, Monday and Tuesday together
= 10 x 9 + 14 x 9 + 6 x 9
= 90 + 126 + 54
= 270 km
Downstream distance travelled by Suman in 8 hours on Sunday, Monday and Tuesday together
= 20 x 8 + 20 x 8 + 20 x 8
= 160 + 160 + 160
= 480 km
Required difference = 480 – 270 = 210 km
3). Answer: a)
Downstream speed of Sunita on:
Wednesday = 10 + 3 = 13 km/h
Thursday = 8 + 2 = 10 km/h
Sum of downstream speeds of Sumita on Wednesday and Thursday = 13 + 10 = 23 km/h
Upstream speed of Suman on:
Friday = 20 – 4 = 16 km/h
Saturday = 8 – 5 = 3 km/h
Sum of upstream speeds of Suman on Friday and Saturday = 16 + 3 = 19 km/h
Required ratio = 23:19
4). Answer: c)
Upstream speed of Sumita on:
Sunday = (14 – 4) = 10 km/h
Monday = (16 – 2) = 14 km/h
Tuesday = (12 – 6) = 6 km/h
Wednesday = (10 – 3) = 7 km/h
Thursday = (8 – 2) = 6 km/h
Friday = (6 – 4) = 2 km/h
Saturday = (12 – 5) = 7 km/h
Upstream distance travelled by Sunita in 5 hours in all the days together
= 10 x 5 + 14 x 5 + 6 x 5 + 7 x 5 + 6 x 5 + 2 x 5 + 7 x 5
= 50 + 70 + 30 + 35 + 30 + 10 + 35 = 260 km
Upstream speed of Suman on:
Sunday = (16 – 4) = 12 km/h
Monday = (18 – 2) = 16 km/h
Tuesday = (14 – 6) = 8 km/h
Wednesday = (10 – 3) = 7 km/h
Thursday = (12 – 2) = 10 km/h
Friday = (20 – 4) = 16 km/h
Saturday = (8 – 5) = 3 km/h
Upstream distance travelled by Suman in 6 hours in all the days together
= 12 x 3 + 16 x 3 + 8 x 3 + 7 x 3 + 10 x 3 + 16 x 3 + 3 x 3
= 36 + 48 + 24 + 21 + 30 + 48 + 9 = 216 km
Required percentage = 260/216 x 100 = 120.37%
5). Answer: c)
Downstream speed of Sumita on:
Sunday = (14 + 4) = 18 km/h
Monday = (16 + 2) = 18 km/h
Tuesday = (12 + 6) = 18 km/h
Wednesday = (10 + 3) = 13 km/h
Thursday = (8 + 2) = 10 km/h
Friday = (6 + 4) = 10 km/h
Saturday = (12 + 5) = 17 km/h
Required sum of the times = 160/18 + 160/18 + 160/18 + 160/13 + 160/10 + 160/10 + 160/17
= 8.88 + 8.88 + 8.88 + 12.30 + 16 + 16 + 9.41
= 80.35 hours
Direction (6-10)
6). Answer: d)
Number of days taken by Monu to complete the work = 6/5 x 15 = 18 hours
Number of days taken by Bonu to complete the work = 7/10 x 20 = 14 hours
Let the number of days taken by Anu, Ranu, Monu and Bonu together to complete the work = x
x(1/12 + 1/18 + 1/18 + 1/14) = 1
=>x(21 + 14 + 14 + 18)/252 = 1
=> x = 252/67
=> x = 3(51/67) days
7). Answer: a)
Number of days taken by Anu and Renu together to complete the work = (12 x 15)/(12 + 15)
= 180/27
= 20/3
Number of days taken by Tanu and Ranu together to complete the work = (20 x 18)/(20 + 18)
= 360/38
= 180/19
Efficiency ratio:
(Anu + Renu): (Tanu + Ranu) = 3/20: 19/180 = 27:19
Required percentage = 27/19 x 100 = 142.105%
8). Answer: b)
Number of days taken by Sonu to complete the work = ¾ x 12 = 9 days
Number of days taken by Monu to complete the work = 6/5 x 15 = 18 days
Number of days taken by Bonu to complete the work = 7/10 x 20 = 14 days
Number of days taken by Tonu to complete the work = 8/9 x 18 = 16 days
Number of days taken by Sonu and Monu together to complete the work = (9 x 18)/(9 + 18)
= (9 x 18)/27
= 6 days
Number of days taken by Bonu and Tonu together to complete the work = (14 x 16)/(14 + 16)
= (14 x 16)/30
= 112/15 days
Required ratio = 6 : 112/15
= 90:112
= 45:56
9). Answer: d)
Number of days taken by Tonu to complete the work = 8/9 x 18 = 16 days
Number of days taken by Tinu to complete the work = 5/8 x 16 = 10 days
Let the number of days taken by Tonu and Tinu together to complete the work = x
5/15 + 5/16 + x(1/16 + 1/10) = 1
=>x(5 + 8)/80 = 1 – 1/3 – 5/16
=> 13x/80 = (48 – 16 – 15)/48
=> 13x/80 = 17/48
=> x = 17/48 x 80/13
=> x = 85/39 days
10). Answer: d)
Number of days taken by Sonu to complete the work = ¾ x 12 = 9 days
Number of days taken by Monu to complete the work = 6/5 x 15 = 18 days
Number of days taken by Bonu to complete the work = 7/10 x 20 = 14 days
Number of days taken by Tonu to complete the work = 8/9 x 18 = 16 days
Number of days taken by Tinu to complete the work = 5/8 x 16 = 10 days
Let the required number of days = x
x(1/9 + 1/18 + 1/14 + 1/16 + 1/10) = 1
=>x(560 + 280 + 360 + 315 + 504)/5040 = 1
=> x = 5040/2019
=> x = 2(1002/2019) days
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