Since this question doesn’t ask for an exact answer, we can round off the numbers involved. Let’s change to and
change to So now we have and we can do some canceling. Then 10 goes into 40 four times, so we can
replace 10 with a 1 and 40 with a 4. And 30 goes into 180 six times, so we can replace 30 with a 1 and 180 with a 6. Now
we have or choice (D).
Be very careful when rounding. Notice in this problem that the first fraction was rounded to a larger value and the second
was rounded to a smaller one. This will result in a similar product to that of the original numbers. However, when dividing
rounded numbers, try to round them in the same direction (either both larger or both smaller) to get a similar dividend to that
of the original numbers.
H
We know that 35% of employees are technical and 19% are clerical, so to find the percent of employees who are either
technical or clerical, we just have to add the two percentages together: 35% + 19% = 54%, choice (H).
70.
B
Begin by cancelling terms: The 3s cancel as well as the 7 and 2 with the 14 in the denominator. We are left with choice
(B).
71.
H
Abe’s method yields 6 + 3 = 9, and Ben’s method yields 6.4 + 3.3 = 9.7, rounded = 10. Hence, the difference is 1.
72.
D
Remember: Of means multiply, and is means equals. Here, we needed to set up the following equation:
Multiply both sides by and we get
73.
G
Solve for x according to PEMDAS: 4(5x) = −10, thus 20 x = −10. Dividing both sides by 20, we get
74.
A
Time is saved here if you recognize the given triangle is a 3-4-5 triangle. Thus, the height = 3 and the base = 4. Recall that
area of a triangle equals one-half times the base times the height. Here
75.
J
The problem tells us this is an equilateral triangle; hence, all sides are equal. Thus, dividing the perimeter by 3 will give the
length of each side:
76.
77. B
