Notesale: Turn your study into money

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ALEGRA 2 – PRACTICE EXAM
18
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2
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4
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6
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8
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10
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12
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14
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16
...


Find the sum of the first 5 terms in the sequence whose
general term is (2n-1)
...
16
C
...
8
D
...

A
...
98
B
...
112
Determine the 5th term of the sequence whose sum of n
terms is given by (2n+3 – 5)
...
258
C
...
218
D
...
P
...

A
...
75
B
...
90
An arithmetic progression starts with 3, has 9 terms, and
the middle term is 19
...

A
...
57
B
...
171
Find the sum of all integers between 300 and 800 that are
exactly divisible by 14
...
11,908
C
...
19,908
D
...
5103
C
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1240029
D
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What is the 15th term of the sequence?
A
...
286721
B
...
573442
Find the sum of the first 10 terms of the geometric
progression 2,4,8,16,…
...
1203
C
...
2046
D
...
Find
the fourth term of the geometric progression
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42
C
...
27
D
...
and is
observed to rebound 2/3 of the distance it falls
...
420
C
...
271
D
...
The return on portfolio is
A
...
35%
C
...
92%
B
...
58%
D
...
47%
What is the 11th term of the harmonic progression if the
first and the third terms are 1/2 and 1/6 respectively?
A
...
¼
B
...
1/22
Suppose 4 machines in a machine shop are used to
produce the same part
...
5, 2
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5 and 6
...
What is the average rate of speed?
A
...
2
...
2
...
3
A father is four times as old as his son now
...
Find
their present ages
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8,41
C
...
12,48
D
...
In three years
Kim will be twice as old as Kevin
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6,12
C
...
4,14
D
...
Maria was twice as old as Arian was
when Maria was as old as Arian is now
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20
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22
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24
...


26
...


28
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30
...
20
C
...
18
D
...
Five years ago, the sum of the parent’s
ages is four times the sum of their children’s ages
...
How many children were
in the family?
A
...
5
B
...
6
Ten liters of 25% salt solution and 15 liters of 35% salt
solution are poured into a drum originally containing 30
liters of 10 % salt solution
...
19
...
11
...
15
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5%
How many pounds of water must be removed from a 50 lb
of 3 % salt solution so that the remaining solution will be 5
% salt?
A
...
15 lb
B
...
20 lb
If 19kg of gold loses 1kg, and 10kg of silver loses 1kg
when weighted in water, find the weight of gold in a bar of
gold and silver weighing 106kg in air and 99kg in water
...
25kg
C
...
64kg
D
...
Five men were
working at the start and after 8 days 3 more men were
added
...
25 days
C
...
30 days
D
...
After working for 3
days, the son joins him and together they plow the field in
three more days
...
6 days
C
...
12 days
D
...
Each day 20 men die
...
67 days
C
...
66 days
D
...
Together they can solve
32 problems in one hour
...
4 min
C
...

B
...
2 min
...
The
mechanic works 3 times as fast as his helper
...
32 hrs
...
11 hrs
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9 hrs
D
...
candle A is designed to fully burn in 8 hours
while candle B for 4 hours
...
3 hours and 30 minutes
C
...
2 hours and 40 minutes
D
...
With the
wind it can cover a certain distance in 4 hours, but against
the wind it can cover only 3/5 of that distance in the same
time
...

A
...
20 mi/hr
B
...
40mi/hr
The boat travels downstream in 2/3 of the time as it does
going upstream
...

A
...
15 kph
B
...
30 kph
Pedro and Juan run at constant speeds along a circular
track 1,350 m in circumference
...

Determine the speed of Pedro
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250 m/min
...
150 m/min
...
180 m/min
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230 m/min
...
What time after 3 o’clock will the hands of the clock be
together for the first time?
A
...
36
C
...
30
B
...
32
D
...
37
32
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2:43
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2:34
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2:43
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2:34
...
At what time after 12 o’clock will the hour hand and the
minute hands of a clock form an angle of 120 degrees for
the first time?
A
...
818
C
...
818
B
...
818
D
...
818
34
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2: 18 6/13
C
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2: 17 3/7
D
...
A man left his home at past 3:00pm as indicated in his wall
clock
...
At what time
did he leave his home?
A
...
17
C
...
33
B
...
47
D
...
88
36
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85
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P=50, N=20, D=20 C
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P=60, N=15, D=15 D
...
A number is divided into two parts such that when the
greater part is divided by the smaller, the quotient is 3 and
the remainder is 5
...

A
...
32
B
...
16
38
...
If
the digits are reversed, a new number is formed which is
one less than twice the original number
...

A
...
82
B
...
64
39
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00
...
00 each, hens P15
...
00 each
...
2
C
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13
D
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The total collected from the contributors of 50 people was
P1630
...
10
C
...
16
`
D

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