Placement Preparation Programme – Test 08

Girls in Group A = 406 × 77/100
= 312.62

Girls in Group B = 435 × 46/100
= 200.1

Total Girls = 312.62 + 200.1
= 512.72

Total Students = 406 + 435
= 841

Overall Percentage = (512.72/841) × 100
= 60.97%

Total Length = 344 + 355
= 699 m

Relative Speed = 90 + 45
= 135 km/hr

Relative Speed in m/s = 37.5

Time = Distance ÷ Speed
= 699 ÷ 37.5
= 18.64 sec

10% of 168
= (10/100) × 168
= 16.8

Distance covered in first part = 72 × 2 = 144 km
Distance covered in second part = 94 × 2 = 188 km
Total Distance = 144 + 188 = 332 km

When equal distances are covered at two speeds,
Average Speed = (2 × Speed1 × Speed2) ÷ (Speed1 + Speed2)

= (2 × 81 × 109) ÷ (81 + 109)
= 17658 ÷ 190
= 92.94 km/hr

Distance covered in first part = 73 × 3 = 219 km
Distance covered in second part = 65 × 4 = 260 km
Total Distance = 219 + 260 = 479 km

75% of 213
= (75/100) × 213
= 159.75

Votes Cast = 77949 × 87/100
= 67815.63

Votes for Candidate A = 67815.63 × 58/100
= 39333

Let original value = X

After 40% increase:
X × (1 + 40/100) = 379.4

X = 379.4 ÷ (1 + 40/100)
X = 271

Total Length = 276 + 219
= 495 m

Relative Speed = 72 + 81
= 153 km/hr

Relative Speed in m/s = 42.5

Time = Distance ÷ Speed
= 495 ÷ 42.5
= 11.65 sec

Let original value = X

After 40% increase:
X × (1 + 40/100) = 1328.6

X = 1328.6 ÷ (1 + 40/100)
X = 949

Distance covered in first part = 79 × 5 = 395 km
Distance covered in second part = 96 × 3 = 288 km
Total Distance = 395 + 288 = 683 km

Girls in Group A = 443 × 37/100
= 163.91

Girls in Group B = 186 × 69/100
= 128.34

Total Girls = 163.91 + 128.34
= 292.25

Total Students = 443 + 186
= 629

Overall Percentage = (292.25/629) × 100
= 46.46%

When equal distances are covered at two speeds,
Average Speed = (2 × Speed1 × Speed2) ÷ (Speed1 + Speed2)

= (2 × 31 × 114) ÷ (31 + 114)
= 7068 ÷ 145
= 48.74 km/hr

Total Length = 119 + 230
= 349 m

Relative Speed = 36 + 36
= 72 km/hr

Relative Speed in m/s = 20.0

Time = Distance ÷ Speed
= 349 ÷ 20.0
= 17.45 sec

Assume initial price = 100

After 45% increase:
100 × 1.45

After 32% decrease:
145.0 × 0.6799999999999999

Final Multiplier = 0.9859999999999999

Net Change = (0.9859999999999999-1) × 100
= -1.4%

Total Length = 329 + 139
= 468 m

Relative Speed = 90 + 45
= 135 km/hr

Relative Speed in m/s = 37.5

Time = Distance ÷ Speed
= 468 ÷ 37.5
= 12.48 sec

Votes Cast = 22295 × 72/100
= 16052.4

Votes for Candidate A = 16052.4 × 62/100
= 9952

Girls in Group A = 151 × 52/100
= 78.52

Girls in Group B = 413 × 78/100
= 322.14

Total Girls = 78.52 + 322.14
= 400.65999999999997

Total Students = 151 + 413
= 564

Overall Percentage = (400.65999999999997/564) × 100
= 71.04%

Assume initial price = 100

After 36% increase:
100 × 1.3599999999999999

After 11% decrease:
136.0 × 0.89

Final Multiplier = 1.2104

Net Change = (1.2104-1) × 100
= 21.04%