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Directions (1 – 5): Study the following information carefully and answer the given questions:
The following table shows the total population in 5 different cities and the ratio of male and female among them and the percentage of adult males and the percentage of minor females.
1) Find the difference between the total male population in city P and R together to that of total female population in city Q and S together?
a) 148000
b) 132000
c) 165000
d) 95000
e) None of these
2) The total minor males in city Q is what percentage of total adult females in city T?
a) 50 %
b) 45 %
c) 38 %
d) 28 %
e) None of these
3) Find the average number of adult females in all the given cities together except city T?
a) 135400
b) 112400
c) 108600
d) 120500
e) None of these
4) Find the ratio between the total male population in city Q, R and S together to that of total female population in city P, R and T together?
a) 54: 79
b) 100: 123
c) 12: 35
d) 213: 245
e) None of these
5) Find the total adult males in city R and S together?
a) 139800
b) 142600
c) 127400
d) 115200
e) None of these
Directions (6 – 10): Study the following information carefully and answer the given questions:
The following table shows the total distance (In km) travelled by 6 persons in 4 different weeks in a certain month.
6) If the total time taken by Q and R together in 1st week is 17 hours and the ratio of the speed of Q to that of R in 1st week is 3 : 2, then find the speed of Q and the time taken by Q?
a) 60 km/hr, 7 hours
b) 50 km/hr, 6.5 hours
c) 55 km/hr, 6 hours
d) 70 km/hr, 7.5 hours
e) None of these
7) Total distance travelled by R in all the given weeks together is approximately what percentage of the total distance travelled by T in all the given weeks together?
a) 120 %
b) 85 %
c) 75 %
d) 99 %
e) 135 %
8) Find the ratio between the total distances travelled by all the given persons together in 1st week to that of 3rd week?
a) 34 : 47
b) 67 : 95
c) 56 : 79
d) 97 : 113
e) None of these
9) If the total time taken by Q is twice the total time taken by R to travel the given distances in 2nd week and the speed of Q in 2nd week is 90 km/hr, then find the speed of R in km/hr?
a) 124 km/hr
b) 116 km/hr
c) 132 km/hr
d) 108 km/hr
e) None of these
10) Find the average distance travelled by the friends P, T and U together in all the given weeks?
a) 1850
b) 1650
c) 1500
d) 1700
e) None of these
Answers :
Direction (1-5) :
1). Answer: c)
The total male population in city P and R together
= > 450000*(3/5) + 225000*(2/5)
= > 270000 + 90000 = 360000
The total female population in city Q and S together
= > 375000*(7/15) + 560000*(5/8)
= > 175000 + 350000 = 525000
Required difference = 525000 – 360000 = 165000
2). Answer: a)
The total minor males in city Q
= > 375000*(8/15)*(48/100) = 96000
The total adult females in city T
= > 650000*(6/13)*(64/100) = 192000
Required % = (96000/192000)*100 = 50 %
3). Answer: d)
The total number of adult females in city P, Q, R and S together
= > 450000*(2/5)*(62/100) + 375000*(7/15)*(58/100) + 225000*(3/5)*(54/100) + 560000*(5/8)*(56/100)
= > 111600 + 101500 + 72900 + 196000 = 482000
Required average = 482000/4 = 120500
4). Answer: b)
Total male population in city Q, R and S together
= > 375000*(8/15) + 225000*(2/5) + 560000*(3/8)
= > 200000 + 90000 + 210000 = 500000
Total female population in city P, R and T together
= > 450000*(2/5) + 225000*(3/5) + 650000*(6/13)
= > 180000 + 135000 + 300000 = 615000
Required ratio = 500000: 615000 = 100: 123
5). Answer: a)
The total adult males in city R and S together
= > 225000*(2/5)*(48/100) + 560000*(3/8)*(46/100)
= > 43200 + 96600 = 139800
Direction (6-10) :
6). Answer: a)
The total time taken by Q and R together in 1st week = 17 hours
The ratio of the speed of Q to that of R in 1st week = 3: 2 (3x, 2x)
According to the question,
= > (420/3x) + (400/2x) = 17
= > (140/x) + (200/x) = 17
= > 340 = 17x
= > x = 20
The speed of Q = 3x = 60 km/hr
The time taken by Q = 420/60 = 7 hours
7). Answer: d)
Total distance travelled by R in all the given weeks together
= > 400 + 330 + 480 + 390 = 1600
Total distance travelled by T in all the given weeks together
= > 280 + 290 + 590 + 460 = 1620
Required % = (1600/1620)*100 = 98.76 % = 99 %
8). Answer: b)
The total distances travelled by all the given persons together in 1st week
= > 350 + 420 + 400 + 320 + 280 + 240 = 2010
The total distances travelled by all the given persons together in 3rd week
= > 420 + 440 + 480 + 570 + 590 + 350 = 2850
Required ratio = 2010 : 2850 = 67 : 95
9). Answer: c)
Time = Distance/Speed
The total time taken by Q = 2*the time taken by R
= > (450/90) = 2*(330/Speed)
= > Speed = (2*330)/5 = 132 km/hr
10). Answer: d)
The total distance travelled by P = 350 + 480 + 420 + 540 = 1790
The total distance travelled by T = 280 + 290 + 590 + 460 = 1620
The total distance travelled by U = 240 + 550 + 350 + 550 = 1690
The average distance travelled by the friends P, T and U together in all the given weeks
= > (1790 + 1620 + 1690)/3 = 5100/3 = 1700
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