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Study the given table carefully to answer the following questions.
Field Name
|
Shape
|
Side (in m)
|
Base (in m)
|
Height (in m)
|
Radius (in m)
|
Cost of flooring (in Rs. per sq. metre)
|
Cost of fencing (in Rs. per m)
|
|---|---|---|---|---|---|---|---|
A
|
Triangle
|
16
|
12
|
50
|
20
| ||
B
|
Rectangle
|
10 × 20
|
30
|
15
| |||
C
|
Square
|
15
|
40
|
18
| |||
D
|
Parallelogram
|
20
|
12
|
60
|
25
| ||
E
|
Circle
|
10
|
45
|
22
|
Station
|
Arrival time
|
Departure time
|
Distance from origin (in km)
|
Number of passengers boarding at each station
|
Fare (in Rs.)
|
|---|---|---|---|---|---|
Ahmedabad
|
Starting
|
5:00 pm
|
--
|
400
|
--
|
Vadodara
|
6:30 pm
|
6:35 pm
|
100
|
100
|
50
|
Bharuch
|
8:50 pm
|
9:00 pm
|
250
|
90
|
120
|
Mumbai
|
4:00 am
|
4:10 am
|
800
|
300
|
400
|
Pune
|
7:30 am
|
7:45 am
|
1050
|
150
|
500
|
Solapur
|
10:20 am
|
Terminates
|
1280
|
--
|
620
|
Station
|
Arrival time
|
Departure time
|
Distance from origin
|
Number of passengers boarding at each station
|
Fare (in Rs.)
|
|---|---|---|---|---|---|
Solapur
|
Starting
|
6:00 pm
|
--
|
300
|
--
|
Pune
|
7:40 pm
|
7:45 pm
|
230
|
150
|
120
|
Mumbai
|
9:30 pm
|
9:35 pm
|
480
|
270
|
220
|
Bharuch
|
5:40 am
|
5:55 am
|
1030
|
50
|
500
|
Vadodara
|
9:00 am
|
9:10 am
|
1180
|
100
|
570
|
Ahmedabad
|
12:00 noon
|
Terminates
|
1280
|
--
|
620
|
Solutions
So, area of A = 1/2 × 16 × 12 = 96 sqm
So, cost of flooring of A = 96 × 50 = Rs.4800
2. Option A
So, cost of fencing of B = 60 × 15 = 900
Perimeter of C = 4 × 15 = 60 m
So, cost of fencing of C = 60 × 18 = Rs.1080
So, required difference = 1080 ⎯ 900 = Rs.180
3. Option D
Area of D = Base × Height
= 20 × 12 = 240 mtr sq
So, cost of flooring of D= 240 × 60 = Rs.14400
Perimeter of D = 2 (20 + 12) = 64 m
So, cost of fencing of D = 64 × 25 = Rs.1600
So, required ratio = 14400 : 1600 = 9 : 1
4. Option D
Perimeter of E = 2πr = 2 × 22/7 × 10 = 440/7 m
Cost of fencing of E = 440/7 × 22 = Rs.1382.85
Area of C = 15 * 15= 225 mtr square
So, cost of flooring of C = 225 × 40 = Rs.9000
So, required % = 1382.85 x 100 / 9000
= 15.36% of flooring cost of C.
Fencing cost of C = Rs.1080
Fencing cost of D = Rs.1600
Required % = 1080/1600 × 100 = 67.5%
6. Option A
Required percentage = 100/270 × 100 = 37.03%
7. Option A
Speed of Train A = 1280 / 10:20 am – 5:00 pm
= 1280 x 3 / 52 = 73.84 kmph
Speed of train B = 1280 / 12:00 noon ⎯ 6:00 pm
= 1280/18 hours = 71.11 kmph
So, difference between the speed of train A and train B = 73.84 ⎯ 71.11 = 2.73 kmph
8. Option B
Total passengers in train A = 400 + 100 + 90 + 300 + 150 = 1040
Total passengers in train B = 300 + 150 + 270 + 50 + 100 = 870
So, required ratio = 1040 : 870 = 104 : 87
9. Option E
Total income of train A = (400 × 50) + (500 × 70) + (590 × 280) + (890 × 100) + (1040 × 120) = Rs.434000
Total income of train B = (300 × 120) + (450 × 100) + (620 × 280) + (670 × 70) + (770 × 50) = Rs.340000
So, required % = 434000 x 100 / 340000
= 127.64% of the total income of train B.
10. Option C
If the average speed of train A increases by 10%
then its new speed = 73.84 × 110/100
= 81.22 kmph
Time taken by train A during the journey = 1280/81.22 = 15.75 hours = 15 hours 45 minutes
The time when the train will reach its destination = 5 pm + 15 hours 45 minutes = 8:45 am