Crossover Aptitude Test Math 5

Question 1

A tank is 1/4 full. After adding 30 gallons it is 3/4 full. What is the tank's total capacity?

Accepted Answer

60 gallons

Answer

3/4 - 1/4 = 1/2 of the tank equals 30 gallons, so capacity = 60 gallons.

Question 2

The probability of rain on any day is 0.3. What is the probability it does NOT rain on two consecutive days?

Accepted Answer

0.49

Answer

P(no rain each day) = 0.7; P(no rain both days) = 0.7 × 0.7 = 0.49.

Question 3

Simplify: √75 + √27

Accepted Answer

8√3

Answer

√75 = 5√3 and √27 = 3√3; sum = 8√3.

Question 4

A circle has a circumference of 20π. What is its area?

Accepted Answer

100π

Answer

2πr = 20π gives r = 10; Area = π(10)² = 100π.

Question 5

Which inequality holds true when x = 3?

Accepted Answer

x² > 8

Answer

x² = 9 > 8 is true; the other options evaluate to false when x = 3.

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