Quantitative and Aptitude Test

1. If sin θ = 3/5, what is the value of cos θ?

3/5

4/5

5/3

5/4

2. A fair six-sided die is rolled twice. What is the probability of getting a sum of 7?

1/6

5/36

1/4

7/36

3. A fair coin is tossed 6 times. What is the probability of getting exactly 4 heads?

5/16

15/64

3/8

1/4

4. A company found that employees who participate in its wellness program have fewer sick days. The company concludes that the wellness program reduces illness. Which of the following, if true, would most strengthen this conclusion?

Employees who participate in the wellness program tend to be younger

The wellness program includes free flu shots and health screenings

Participation in the wellness program is voluntary

Employees who participate in the wellness program report higher job satisfaction

5. The company's _____ approach to data privacy earned it the trust and loyalty of its customers.

lax

stringent

indifferent

negligent

6. You notice a safety hazard in your workplace. What's the best course of action?

Ignore it, as it's not your responsibility

Try to fix it yourself without proper training

Report it to the appropriate authority immediately

Warn your coworkers but don't tell management

7. The company's decision to invest in renewable energy was both environmentally responsible and financially _____.

detrimental

neutral

astute

reckless

8. Everyone I know agrees that climate change is a hoax. Therefore, climate change must be a hoax. This argument is an example of:

Bandwagon fallacy

False dichotomy

Red herring

Post hoc ergo propter hoc

9. If A = {1, 2, 3, 4, 5} and B = {4, 5, 6, 7, 8}, what is (A' ∩ B') ∪ (A ∩ B) in the universal set U = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}?

{4, 5, 9, 10}

{1, 2, 3, 6, 7, 8}

{1, 2, 3, 4, 5, 6, 7, 8}

{9, 10}

10. If you have a 5-liter jug and a 3-liter jug, how can you measure exactly 4 liters of water?

Fill 5L jug, pour into 3L jug, left with 2L

Fill 3L jug twice, pour into 5L jug

Fill 5L jug, pour into 3L jug, empty 3L jug, pour remaining 2L into 3L jug, fill 5L jug and pour 1L into 3L jug

It's impossible