RCAT Numerical Reasoning 3

Question 1

If p = 4 and q = −3, what is the value of 2p² − 3q²?

Accepted Answer

5

Answer

−5

Answer

59

Answer

−59

Question 2

A salesperson earns a base salary of $1,200/month plus 8% commission on sales. If they earn $2,440 in a month, what were their total sales?

Accepted Answer

$15,500

Answer

$16,000

Answer

$15,000

Answer

$14,500

Question 3

Complete the number sequence: 2, 5, 14, 41, ___?

Accepted Answer

122

Answer

124

Answer

120

Answer

128

Question 4

A pipe fills a tank in 6 hours and another empties it in 9 hours. If both are open simultaneously, how long to fill an empty tank?

Accepted Answer

18 hours

Answer

15 hours

Answer

12 hours

Answer

24 hours

Question 5

If the simple interest on $5,000 at 6% per annum for a certain period is $900, how many years is the period?

Accepted Answer

3 years

Answer

2.5 years

Answer

4 years

Answer

3.5 years

Question 6

A mixture of 40 liters is 30% alcohol. How many liters of pure alcohol must be added to make it 50% alcohol?

Accepted Answer

16 liters

Answer

12 liters

Answer

20 liters

Answer

10 liters