D.1-5) Go through the data set given below and solve the questions based on it. The pie chart 1 shows the percentage of people in different cities. The pie chart shows the percentage of male in different cities.
1) In city D total males are 256, what is the total number of females in city A and F?
a) 2088
b) 1988
c) 1978
d) 1878
e) None of these
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(B)
In city D male percentage 16%= 256.
“Then, total people in city D =” “256” /”16″ “×100= 1600”
Total percentage of people in city D, 24% = 1600
“Then, total people in city A =” “1600” /”24″ “×15″=1000
Male percentage in city A 16% then female percentage is 84%
Total female in city A = 84% of 1000= 840
“Then, total people in city F =” “1600” /”24″ “×21″=1400
Male percentage in city F 18% then female percentage is 82%
Total female in city F = 82% of 1400= 1148
Required total = 1148+840 = 1988
2) In city E females are 1936, What is the ratio of males in city C and city D?
a) 7:11
b) 16:7
c) 11:7
d) 7:16
e) None of these
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(D)
In city E female percentage is 88%
“Then total people in city E =” “1936” /”88″ “×100=2200”
Total percentage of people in city E, 11% = 2200
“Then total people in city C =” “2200” /”11″ “×12″=2400
Male percentage in city C 14% then female percentage is 86%
Total males in city C = 14% of 2400= 336
Total percentage of people in city E, 11% = 2200
“Then total people in city D =” “2200” /”11″ “×24 = 4800”
Male percentage in city D 16% then female percentage is 84%
Total males in city D = 16% of 4800= 768
Ratio of males in city C and city D = 336:768 = 7:16.
3) If Ratio between male people in city B and E is 24:13. The different between the male people in city B and E is 132, what is the difference between the female people in city B and city E?
a) 242
b) 238
c) 234
d) 232
e) 221
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(D)
The Ratio between male people in city B and E is 24x:13x
The difference between the male people in city B and E is 132
Then, 11x = 132
x = 12
Hence, male people in city B = 24× 12 =288 is 24% of the total people in city B
“then female people in city B =” “288” /”24″ “×76 = 912 “
Male people in city E = 13 ×12 = 156 is 12% of the total people in city E,
“then female people in city E =” “156” /”12″ “×88= 1144 “
Required difference = 1144- 912 = 232
4) In city A’s total population is 3000, find the total number of female in city A, B, C, D, E, F?
a) 16576
b) 16850
c) 158680
d) 162580
e) None of these
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(A)
In city A total population =3000
Female people in city A = 84% of 3000 = 2520
In city B total population =3000/15×17 =3400
Female people in city B = 76% of 3400 = 2584
In city C total population =3000/15×12 =2400
Female people in city C = 86% of2400 = 2064
In city D total population =3000/15×24 =4800
Female people in city D = 84% of 4800 = 4032
In city E total population =3000/15×11 =2200
Female people in city E = 88% of 2200 = 1936
In city F total population =3000/15×21 =4200
Female people in city F = 82% of4200 = 3440
Required total = 16576
5) From the data obtained in the question (Q.64). Find the total number of Male people in all cities together?
a) 3784
b) 3864
c) 3584
d) 3424
e) None of these
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(D)
Total number of males= 480+ 816 + 336 + 768 +264 + 760 = 3424
D.6-10) Go through the data set given below and solve the questions based on it. The pie chart 1 shows percentage of distance of various buses. The pie chart 2 shows percentage of the speed of various buses in km/hr.
Total Speed = 120 KMPH
6) The total time taken by bus F is 2hr, how much time taken by bus C and Bus A?
a) 4.035 hr
b) 6 hr
c) 5 hr
d) 8 hr
e) Cannot be determined
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(A)
Bus F speed = 120×25/100=30 km/hr.
Distance = speed × time = 30× 2 = 60km.
Bus F distance 20% = 60 km
Bus C distance =60/20×13= 39 km
Bus C time =39/18= 2.16 hr
Similarly,
Bus A distance =60/20×15 =45 km
Bus A time =45/24= 1.875 hr
Total time =2.16+1.875=4.035hr
7) If bus C distance is 78km then what is the difference between the time taken by bus D and A?
a) 1.2 hr
b) 3.8 hr
c) 4 hr
d) 3.75 hr minutes
e) None of these
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(D)
Bus C distance 13% = 78 km
Bus A distance =78/13×15 = 90 km
speed of A=120×20/100=24 kmph
Then Bus A time =90/24= 3.75hr
Similarly,
Bus D distance =78/13×15 = 90 km
speed of D=120×10/100=12 kmph
Then Bus D time =90/12= 7.5hr
Required time difference = 7.5 – 3.75 = 3.75 hr
8) The difference between the distance of bus D and E is 40km, How many more hour taken by bus D than Bus E?
a) 7 hour 56 minutes
b) 6 hour 35 minutes
c) 10 hour 50 minutes
d) 5.5 hour 40 minutes
e) Cannot be determined
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(C)
Difference between bus D and bus E is 2% (i.e., 2% = 40)
Bus D distance =40/2×15= 300 km
speed of D=120×10/100=12 kmph
Bus D Time =300/12=25 hr
Similarly,
Bus E distance =40/2×17= 340 km
speed of E=120×20/100=24 kmph
Bus E Time =340/24=14.16 hr
Hence, Bus D has taken 10 hour 50 minutes more than Bus E.
9) If the bus B distance is 400km, what is the total time taken by bus C, A, D, E?
a) 66 hour 3 min
b) 72 hour 5 min
c) 75 hour
d) 85 hour 6 min
e) None of these
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(E)
Bus B distance 20% = 400km
Bus C distance =400/20×13= 260 km
Speed of C=120×15/100=18 hr
Bus C time =260/18=14.44 hour
Bus A distance =400/20×15= 300 km
Speed of A=120×20/100=24 kmph
Bus A time =300/24=12.5 hour
Bus D distance =400/20×15= 300 km
Speed of D=120×10/100=12kmph
Bus D time =300/12=25 hour
Bus E distance =400/20×17= 340 km
Speed of E=120×20/100=24 kmph
Bus E time =340/24=14.16 hour
Total time =(14.44+12.5+25+14.16)=66hour 6 minutes
10) If the bus F’s time taken is 2 hr, how much time taken by Bus B?
a) 4.8 hr
b) 3.5 hr
c) 5 hr
d) 4.5 hr
e) None of these
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(D)
Bus F speed = 120×25/100=30 km/hr.
Bus F distance = speed × time = 30 × 2 = 60km.
Bus F distance 20% = 60 km
Bus B distance =60/20×20 = 60 km
speed of Bus B=120×10/100=12kmph
Bus B time =60/12= 5hr
2 comments
speed of A=120×20/100=24 kmph
speed of E=120×20/100=24 kmph
how this 120 comes?
total speed..refer pie chart 2