### Practice Exams ChE - 8

1. Find the volume of the curves y=x2 and y=1 rotated around the y-axis

a. 2 pi

b. pi/2

c. pi

d. none of these

2. Find the lim......t²- 4

.................t->3....2t+4

a. 1/2

b. ???

c. ???

d. none of these

3 Evaluate: F(x)dx - G(x)dx

a. [F(x)+G(x)] dx

b. 2F(x)dx

c. [F(x)+G(x)] dx

d. ???

4. What is the relative maximum of y = 3x^3 + 4x + 7?

a. 0

b. 7/4

c. does not exist

d. 2/3

5. The distance of a body from its initial position is given by s=t²+10t. If the body has moved 39 meters from the initial position, find the time elapsed.

a. 9

b. ???

c. ???

d. none of these

6. A box contains 3 white, 7 blue, 2 red, and 9 green balls. What is the probability getting either white or green?

a. 4/7

b. ???

c. ???

d. none of these

7. Two cars leave the same point at 9 am. One car headed west at 60 kph while the other car headed south at 80 kph. What is the distance between the two cars at 10 am of the same day?

a. 80km

b. 100km

c. ???

d. none of these

8. Two cars of equal weight moving at the same direction collided. What is the final velocity of the wreckage if one car travels at 100kph and the other at 80kph?

a. 80

b. 180

c. 90

d. none of these

9. Two cars A & B are moving in opposite direction at a velocity of 100kph and 80 kph respectively. What is the final velocity of the wreckage when the cars collided head-on?

a. 10kph at the direction of A

b. 20 kph at the direction of A

c. 20 kph at the direction of B

d. 10 kph at the direction of B

10. What fraction of an iceberg is immersed in sea-water?

Hint: density of iceberg=0.92 g/cc

density of sea-water=1.03 g/cc

a. ???

b. 11%

c. ???

d. none of these

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