1
NMAT REFRESHER REVIEW: 101616
QUANTITATIVE
DIRECTIONS: Select the best answer to each of the
following questions and blacken the appropriate space on
your answer sheet.
11. A lot whose area is 72 square meters is to be fenced
with barbed wire. If the width of the lot is one-half its
length, how long will the required barbed wire be to fence
the lot using 5 rows?
a. 36 m
b. 60 m
c. 180 m
d. 360m
12. Each year, a car depreciates a certain fraction of its
I. FUNDAMENTAL OPERATIONS
value. During the first year, it depreciates
1
of its value,
3
1
Directions: Choose the best answer to each of the
while during the second year, it depreciates
1. 180 ÷ 3 × 8 ÷ 24 × 3 =
a. 30
b. 50
What fraction of its original value is the value of the car at
the end of the third year?
following questions.
2. √
6
a.
√8 × √4
2−3 −3−2
3𝑛 +2 + 9
3𝑛 +1
=
a.
4 7
+
7 4
13
28
b. 6
c. 12
d. 1444
b. 9
c. 18
d. 27
=
a. 3
4.
=
65
28
b.
28
5. 6 √23
a. 20
c. 7
13
b. 24
22 +3 𝑥 4
a. 64
8.
4
5
𝑎.
9.
1
÷2
2
+
c. 30
d. 2
c. 30
d. 25.5
b. 112
c. 16
335 ÷ 412
48
𝑎−2 +𝑏−2
𝑎−2 −𝑏−2
𝑏.
3
4
÷
4
2
𝑐.
=?
11
𝑑.
24
𝑎2 +𝑏2
c. 2 2
𝑎 −𝑏
𝑎2 +𝑏2
d. 2 2
𝑏 −𝑎
II. PROBLEM SOLVING
10. Lanie predicts that the sum of a pair of dice will be
equal to 6 for 2 consecutive throws. Oscar predicts that
the sum will be equal to 5 for the same number of throws.
What is the probability of Lanie’s prediction?
a.
25
1296
b.
5
36
c.
7
10
3
5
c.
13
60
d.
59
50
13. In the Boom-Boom Toy factory, the average time
required for each of n production workers to assemble a
train set is t minutes. If all the workers work full time, how
many hours of plant operation will be required to fill an
order for 300 of these train sets?
a.
5𝑡
𝑛
b.
𝑛𝑡
5
c.
5𝑛
𝑡
d.
18,000𝑛
𝑡
14. A flower shop purchased 250 plants for Php 10.00
each. It is estimated that 10% of the plants will have to
be discarded without being sold. What should the selling
price of a plant be if a gross profit of 20% of the cost on
the whole shipment is desired?
a. Php 15.00 b. Php 13.50
c. Php 12.0 d. Php 10.70
17. When Jose attempts a free throw, he succeeds 59.4%
of the time. If Jose attempts 31 free throws, estimate how
many times he will succeed.
a. 15
b. 18
c. 28
d. 52
3
10
=
𝑎
b.
𝑏
b.
16. A survey company randomly called 200 people to get
their opinion on a certain product. Of the 200 people, 125
liked the product and 75 did not like it. If this same trend
continues, how many people should like the product out of
1000 people?
a. 625
b. 475
c. 550
d. 700
d. 10
4(5)(3)
2
5
15. A 3,900-sq m field is to be fertilized with a fertilizer
that can only be bought by the bag at Php 90 per 10-kg
bag or Php 70 per 7-kg bag. The bags come in only two
sizes and 1 kg is needed for every 60-sq m area. What
would be the minimum cost to effectively fertilize the
field?
a. Php 585
b. Php 590
c. Php 610
d. Php 630
=?
7
𝑎+𝑏
a.
𝑎−𝑏
d. 5
+ 4(5 − 3) =?
6. 3 x 23 + 6 ÷ 4 = ?
a. 55.5
b. 10.5
7.
d. 60
4
a. √12
3.
c. 58
of its value,
4
1
and during the third year, it depreciates
of its value.
5
d.
1
9
18. John can finish a job two hours longer than Cris. After
working for one hour, Cris joins him and they complete the
job in 3 more hours. How long would it take John to finish
the job if he worked alone?
a. 5 hrs
b. 6 hrs
c. 8 hrs
d. 10 hrs
19. Ten measurements of the diameter of a cylinder
recorded by a scientist were as follows: 3.88, 4.09, 3.92,
3.97, 4.02, 3.95, 4.03, 3.92, 3.98 and 4.06 inches. Find
the arithmetic mean of the measurements.
a. 3.92
c. 4.00
b. 3.98
d. 3.97
2
20. Two numbers differ by 13. Twice the smaller plus the
other gives 49. What are the numbers?
a. 32, 45
c. 24, 37
b. 12, 25
d. 29, 42
26. The contribution of the Accounting & Services
Divisions is how many percent of the contributions of the
Sales % Marketing Division?
a. 46.15%
b. 38.46%
c. 30%
d. 7%
21. A group consists of n boys and n girls. If 2 boys are
replaced by other girls, then 49% of the group members
will be boys. Find the value of n.
a. 100
b. 50
c. 49
d. 51
27. Of the total actual contributions, how many percent
was contributed by the personnel division?
a. 1.7%
b. 16.9%
c. 21%
d. 89%
22. The perimeter of ABCD = 24. The area of the shaded
portion is _____.
a. 27𝜋
b. 9𝜋 − 24
c. 9𝜋 − 36
d. 36 − 9𝜋
III. DATA INTERPRETATION
At the start of the year, Norman David Corporation sets a
goal for contributions from each division to the Community
Fund. From time to time, a bulletin is issued to employees
showing the contributions to date and the goal to be
reached for the year. At the end of July, the following
graph was issued.
The age distribution of the population in a small town is
given in percent as shown below:
TABLE 1
Age (in years)
Percent
up to 20
38
21-40
26
41-60
21
61-80
11
over 80
4
The present population size is 10,000.
28. How many persons are at least 61 years of age?
a. 1100
b. 400
c. 500
d. 1500
29. How many are at most 10 years of age?
a. 1900
b. 3800
c. 100
d. cannot be determined
30. The number of persons who are at most 20 years of
age is what percent of those over 80 years of age?
a. 9.5
b. 950
c. 10.5
d. 3400
31. The number of persons who belong to the 41-60 age
brackets is what percent less than those who belong to
the 21-40 age brackets?
a. 19
b. 5
c. 82
d. 24
23. Approximately how much more must the Warehousing
and Shipping Division contribute to meet its goal?
a. Php 2,000
c. Php 3,000
b. Php 2,500
d. Php 3,500
24. Which two divisions need the least percentage of
contributions to reach their goal?
a. Accounting & Services and Personnel Divisions
b. Accounting & Services and Sales & Marketing Divisions
c. Sales & Marketing and Warehousing & Shipping
Divisions
d. Warehousing & Shipping and Personnel Divisions
25. The average monthly contribution of the Warehousing
& Shipping Division to the total fund is approximately
a. Php 1,857 b. Php 1,500
c. Php 750
d. Php 1,285
The following table shows the student population of a
university in 1978 and 1979:
TABLE VI
College
1978
1979
Arts & Sciences
465
581
Pharmacy
120
185
Dentistry
170
86
Engineering
225
220
Education
238
279
Music
106
164
Medicine
375
479
32. The student population remained almost the same
from 1978 to 1979 in which college?
a. Arts & Sciences
c. Medicine
b. Music
d. Engineering
33. The student population from 1978 to 1979 increased
in how many colleges?
a. 5
b. 4
c. 3
d. 2
34. For the period 1978 to 1979, the student population of
the College of Dentistry decreased by what percent?
a. 98
b. 49
c. 84
d. cannot be determined
3
35. Which of the following gives the ranking (from
highest to lowest) of the top three colleges with largest
increase in student population from 1978 to 1979?
a. Arts & Sciences, Medicine, Pharmacy
b. Education, Music, Pharmacy
c. Engineering, Dentistry, Education
d. Arts & Sciences, Medicine, Dentistry
The pie charts below show the monthly budget of the
Marasigan family for 2004 and 2005. The family’s annual
income for 2004 and 2005 are P72,000 and P76,000,
respectively.
36. How much more did the family spend on medical
expenses in 2005 than in 2004?
a. P1,520
b. P1,920
c. P7,200
d. P9,120
37. How much was the percent increase in the family’s
expenses for food and drinks?
a. 4.0%
b. 4.9%
c. 5.0%
d. 5.2%
38. The budget of the Reynoso for 2006 will be the same
as that of 2005. In 2006, if they will spend P5,950 for
entertainment, how much will their savings be?
a. P3,040
b. P3,400
c. P4,250
d. P8,500
39. If the family spent P10,500 for food in 2004, how
many percent did they spend on drinks?
a. 4.2%
b. 3.4%
c. 14.6%
d. 9.0%
40. In 2004, how much did they pay for rent each month?
a. P24,320
b. P18,000
c. P2,026
d. P1,500