RCAT Numerical Reasoning 3

Question 1

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

Accepted Answer

5

Answer

2(16) − 3(9) = 32 − 27 = 5.

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

Commission = $2,440 − $1,200 = $1,240; sales = $1,240 ÷ 0.08 = $15,500.

Question 3

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

Accepted Answer

122

Answer

Each term is multiplied by 3 and then −1 applied: 2×3−1=5, 5×3−1=14, 14×3−1=41, 41×3−1=122.

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

Net fill rate = 1/6 − 1/9 = 3/18 − 2/18 = 1/18 tank per hour; time = 18 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

Time = I/(P × r) = 900/(5000 × 0.06) = 900/300 = 3 years.

RCAT - Revelian Cognitive Ability Test Practice Test