Workforce Numerical Past Questions and Answers


16)

Brian gave 20% of his baseball cards to Scott and 15% to Adam. If he still had 520 cards, how many did he have originally


Answer : D

Explanation:

Let T = Total number of cards he had originally
Before Brian gave out any card, he had 100%
He gave out 20% to Scott --- So Brian is left with 80%
He gave out 15% to Adams --- Brian is left with 65%
65% represents 520 Cards
Therefore 65/100 x T = 520
0.65% x T = 520
X = 520/0.65
X = 800
He had 800 cards before he started sharing

17)

Of the 410 students at Kennedy High School, 240study Spanish and 180 study French. If 25 students study neither language, how many students study both?


Answer : C

Explanation:

Let T = Total
S = Spanish
F = French
N(T) = N(S)only + N(S&F)only + N(F) + N(S&F)neither
410 = (240-x) + x + 180-x + 25
410 = 445 – x
X = 445 – 410
X = 35 (C)

18)

If 4 boys can shovel a driveway in 2hours, how many minutes will 5 boys take to do the job?


Answer : B

Explanation:

Logic: More boys will shovel the driveway in less time.
Therefore: Boys is inversely proportional to Time (Boys α 1/Time)
Let B = Boys
Let T = Time
Boys α 1/Time. Insert your constant
B = K/T
4 = K/2
K = 4 x 2 = 8
Therefore for 5 boys you will have 5 = 8/T
T = 8/5 hours
In Minutes = 8/5 x60 = 96 (B)
 

19)

Sharon read 24 pages of her book in 15 minutes. At this rate, how many pages can she read in 40 minutes?


Answer : A

Explanation:

The Rate = Pages/Minutes = 24/15 = X/40
15X = 24 x 40
X = 960/15
X = 64 pages (A)

20)

Judy is now twice as old as Adam but 6years ago she was 5 times as old as he was. How old is Judy now?


Answer : B

Explanation:

Represent Adam with A
Represent Judy with J
Judy now is twice as old as Adam J = 2A
Six years ago J-6 = 5(A-6)
Therefore, J-6 = 5A – 30
J-6 = 5(J/2) – 30
Multiply through by 2
2(J-6) = 5J-60
2J-12 = 5J-60
-12+60 = 5J-60
48 = 3J
J = 48/3
J = 16 (B)