Mechanical Engineering Review Online

1. In a class of 50 students, 30 students like Calculus and 25 students like geometry. How many students like both calculus and geometry?

a. 2

b. 3

c. 4

d. 5

2. The probability for the CE board examinees from a certain school to pass the Mathematics subject is 3/7 and that for Communication is 5/7. If none of the examinees failed both subjects and there are 5 examinees that pass both subjects, how many examinees from the school took the examination?

a. 30

b. 38

c. 35

d. 40

3. In how many ways can you arrange 8 beads in a necklace?

a. 2300

b. 4020

c. 5040

d. 6030

4. In how many ways you can arrange 2 boys and 3 girls around the circle if the boys will always be together?

a. 10

b. 12

c. 14

d. 16

5. In how many ways can you invite one or more of your 6 friends to a show?

a. 58

b. 63

c. 66

d. 72

Three cards will be drawn from an ordinary deck of cards, what is the probability of obtaining:

6. 2 kings and ace

a. 24/22100

b. 26/22100

c. 20/22100

d. 28/22100

7. Jack, queen and a king

a. 64/22100

b. 75/22100

c. 82/22100

d. 60/22100

8. Cards of order: Jack, queen, king

a. 10/16575

b. 12/16575

c. 14/16575

d. 8/16575

9. Card of the same color

a. 8/17

b. 10/17

c. 4/17

d. 5/17

10. Cards of the same suit

a. 18/425

b. 22/425

c. 25/425

d. 28/425

A fair coin is tossed 5 times. What is the probability of obtaining ____?

11. Exactly 3 heads

a. 5/16

b. 8/16

c. 10/16

d. 3/16

12. At least 3 heads

a. ¾

b. ½

c. 1/8

d. ¼

13. What is the probability of guessing 3 correct answers in a multiple choice test of 5 items if each question has four options?

a. 40/512

b. 55/512

c. 45/512

d. 60/512

A factory building has 9 entrance doors. In how many ways can a person enter and leave

14. By any door

a. 75

b. 81

c. 86

d. 72

15. By a different door

a. 72

b. 86

c. 81

d. 75

From a box containing 7 red balls, 9 white balls and 11 blue balls, one ball is drawn at random. Find the probability that it is ____.

16. Red

a. 0.2593

b. 0.3333

c. 0.7407

d. 0.5926

17. Not red

a. 0.5926

b. 0.7407

c. 0.3333

d. 0.2593

18. White

a. 0.7407

b. 0.3333

c. 0.5926

d. 0.2593

19. Red or White

a. 0.8215

b. 0.2812

c. 0.7407

d. 0.5926

20. A PSME unit has 11 ME’s, 9 PME’s and 6 CPM’s. If a committee of 3 members, one from each group is to be formed, how many such committees can be formed?

a. 650

b. 660

c. 630

d. 693

21. A jar contains 5 black balls and 7 white balls. What is the probability of getting 1 black and 1 white ball in two consecutive draws from the jar?

a. 0.53

b. 0.48

c. 0.60

d. 0.68

Answer Key (Handwritten)