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Algebra and General Mathematics Reviewer with Answer Key Part 7

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Algebra and General Mathematics Reviewer with Answer Key for Engineer

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Continue Practice Exam Test Questions Part d. 15
7 of the Series
305. The sum of three succeeding odd
Choose the letter of the best answer in integers is 75. The largest integer is
each questions.
a. 25
301. Find the harmonic mean between the
numbers 3/8 and 4. b. 29

a. 35/34 c. 27

b. 24/35 d. 31

c. 42/35 306. A ship propelled to move at 25 mi/ hr
in still water, travels 4.2 miles upstream in
d. 35/24 the same time that it can travel 5.8 miles
downstream. Find the speed of the stream.
302. The terms of a sum may be grouped in
any manner without affecting the result. this a. 4
is law known as:
b. 6
a. Commutative Law
c. 8
b. Distributive Law
d. 10
c. Associative Law
307. Jose’s rate of doing work three times
d. Reflexive Law as fast as Bong. On given day Jose and Bong
work together for 4 hours then Bong was
303. A number is divided into two parts such called away and Jose finishes the rest of the
that when the greater part is divided by the job in 2 hours. How long would it take Bong
smaller part, the quotient is 3, and the to do the complete job alone?
remainder is 5. Find the smaller number if
the sum of the two numbers is 37. a. 18 hrs.

a. 8 b. 22 hrs.

b. 29 c. 16 hrs.

c. 22 d. 31 hrs.

d. 16 308. The length of a rectangle is 3 times its
width. If the width of the rectangle is 5
304. Mary was four times as old as Lea ten inches, what is the rectangle’s area, in
years ago. If she is now twice as old as Lea, square inches?
how old is Mary.
a. 15
a. 25
b. 20
b. 40
c. 30
c. 30

, d. 75 a. 4

309. For all x >2, (2x2 + 2x – 12) / (x – 2) b. 5
simplifies to
a. 2(x + 3) c. 16

b. 2(x – 2) d. 25

c. x + 3 314. Angle A is an acute angle and sin(A) =
11/14. What is the value of cos(A)?
d. 2(x + 3)(x – 2)
a. √
310. If the hypotenuse of a right triangle is
10 inches long and one of its legs is 5 inches b. 5√
long, how long is the other leg?
c. √(3/14)
a. 5
d. 5/14
b. 5 √3
315. What are the values of a and b, if any,
c. 5√5 where – a|b + 4| > 0?

d. 7.5 a. a > 0 and b ≠ 4

311. In the standard (x,y) coordinate plane, b. a < 0 and b ≥ -4
the graph of (x + 3)2 + (y + 5)2 = 16 is a
circle. What is the circumference of the c. a < 0 and b ≠ -4
circle, expressed in coordinate units?
d. a < 0 and b ≤ -4
a. 4π
316. In a shipment of televisions, 1/50 of
b. 5π the televisions are defective. What is the
ratio of defective to non defective
c. 3π televisions?

d. 8π a. 1/50

312. How many solutions are there to the b. 1/49
equation x2 – 7 = 0?
a. 1 c. 49/1

b. 2 d. 50/1

c. 4 317. Which of the following is divisible (with
no remainder) by 4?
d. 7
a. 214133
313. A circle with center (4,-5) is tangent to
the y-axis in the standard (x,y) coordinate b. 510056
plane. What is the radius of this circle?
c. 322569

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