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Data Interpretation
Direction (1-5): Study the following information carefully and answer the questions given below.
The given bar graph shows the number of students from 6 different colleges.
1) Ratio of the number of boys to girls from A is 5: 4. If the hostel fee for a girl is Rs.10000 and a boy is Rs.12000, then find the total hostel fee of both boys and girls?
A.30 lakh
B.20 lakh
C.40 lakh
D.60 lakh
E.None of these
2) What is the average number of students from B, C, D, E and F together?
A.400
B.401
C.402
D.404
E.None of these
3) The ratio of the number of boys to girls from B and E is 7:8 and 5:3 respectively. The number of girls from B and E together is approximately what percent of the number of boys from B and E together?
A.82%
B.85%
C.89%
D.92%
E.None of these
4) The number of students from C is what percent of the total number of students from D?
A.40%
B.50%
C.55%
D.45%
E.None of these
5) What is the ratio of the average of the students from A, B and F together to the average number of students from C, D and E together?
A.31:41
B.16:21
C.33:43
D.35:44
E.None of these
Application sums
6) Ratio of the cost price to marked price of the mobile is 5:6. The shopkeeper offers a discount is 20%. IF the sum of the marked price and cost price of the mobile is Ra.4400, then what is the profit or loss earned by shopkeeper?
A.Rs.40 profit
B.Rs.80 loss
C.Rs.40 loss
D.Rs.80 profit
E.None of these
7) Train A and train B crosses a electric pole in 18 seconds and 16 seconds respectively and the ratio of the length of train A to B is 3: 4. If the speed of train A is 60 kmph, find the speed of train B?
A.80 kmph
B.90 kmph
C.100 kmph
D.120 kmph
E.None of these
8) The boat row with current and against the current in 18 hours and the ratio of the speed of boat in still water to stream is 3:1. If the distance covers a boat is 120 km, then find the downstream speed?
A.16 kmph
B.20 kmph
C.24 kmph
D.28 kmph
E.None of these
9) Ratio of the sum of money invests in scheme A and B is 3: 2. If scheme A and B both offer simple interest at the rate of 12% per annum and 15% per annum respectively for 6 years and 4 years respectively. If the difference between the interests received by both schemes is Rs.864, find the total investments?
A.Rs.3500
B.Rs.4500
C.Rs.5000
D.Rs.6000
E.None of these
10) A milkman has 80 litres mixture of milk and water in the ratio of 11: 9. If he sold 40 litres of mixture and then he replace by 8 liters of milk and x litres of water, now the ratio of the milk and water is 1: 1. Find the value of x?
A.10 litres
B.12 litres
C.14 litres
D.16 litres
E.None of these
Answers:
1) Answer: C
Boys from A = 5/9 * 360 = 200
Girls from A = 4/9 * 360 = 160
Total hostel fee of boys = 200 * 12000 = 2400000
Total hostel fee of girls = 160 * 10000 = 1600000
Total revenue = 2400000 + 1600000 = 4000000 = 40 lakh
2) Answer: C
Average = (450 + 280 + 560 + 480 + 240)/5
= 402
3) Answer: A
Number of boys from B = 450 * 7/15 = 210
Number of girls from B = 450 * 8/15 = 240
Number of boys from E = 5/8 * 480 = 300
Number of girls from E = 3/8 * 480 = 180
Required percentage = (240 + 180)/(300 + 210) * 100
= 82%
4) Answer: B
Required percentage = (280/560) * 100 = 50%
5) Answer: D
Required ratio = (360 + 450 + 240)/3:(280 + 560 + 480)/3
=350: 440
= 35: 44
6) Answer: B
MP = 6x
CP = 5x
11x = 4400
x = 400
CP = 400 * 5 = Rs.2000
MP = 6 * 400 = Rs.2400
SP = 2400 * 80/100 = 1920
Loss = 2000 – 1920 = Rs.80
7) Answer: B
Length of train A = 3x
Length of train B = 4x
Distance = Speed * time
Speed of train B = y
3x = 60 * 5/18 * 18
x = 100 m
Length of train B = 4 * 100 = 400 m
400 = y * 5/18 * 16
y = 90 kmph
8) Answer: B
120/4x + 120/2x = 18
(1 + 2)/4x = 18/120
x = 5
Speed of the boat in still water = 3 * 5 = 15 kmph
Speed of the stream = 5 kmph
Speed of the downstream = 15 + 5 = 20 kmph
9) Answer: B
SI = P * N * R/100
Scheme A interest = 3x * 12 * 6/100 = 216x/100
Scheme B interest = 2x * 15 * 4/100 = 120x/100
216x/100 – 120x/100 = 864
96x = 86400
x = 900
Total investment = 5x = 5 * 900 = 4500
10) Answer: B
Milk in 80 litres = 11/20 * 80 = 44 litres
Water in 80 litres = 9/20 * 80 = 36 litres
Milk in 40 litres = 11/20 * 40 = 22 litres
Water in 40 litres = 9/20 * 40 = 18 litres
(44 – 22 + 8)/(36 – 18 + x) = 1/1
30 = 18 + x
x = 12 litres
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