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NMAT QUANTITATIVE SIMULATIONS (MOCK 3R)

DIRECTIONS: Select the best answer to each of the following questions and blacken the appropriate space on your answer sheet.

I. Fundamental Operations

1. 18 – 15  (8 – 5) x 3 + 7 =
a. 0 c. 10 7. Which radical is in simplest form?
b. 6 d. 15 12
a. √32 x7 y 5 c.√5 9 x 3 y 7
8 12
2. Find the value of “n” in 52n+1 = 125. b. √ 1024 x 11 y 6 d. √ y 6
a. 1 c. 3
b. 2 d. ½ 1
1− =¿
1
3. ( 9 √ x+ 2 )( 5 √ x−3 ) =¿ 8. 1−
1
a. 45 x−10 √ x−6 c. 45 x−17 √ x−6 1−
1−a
b. 5 x−17 √ x−6 d. 18 x−10 √ x −15 a. 1 c. 1+a
b. 1 – a d. 0
4. ( 5 x+5 +5 x+2 ) ÷ ( 5 x+ 4−5 x+1 )=¿
52 x+7 1 1
a.

b. 5
52 x+5
c. 25

d.
315
62
9.

a. 1
b.
√
√3
( 81 )(27 ) =¿
2

3 √3
2

c. 3
d. 9
3 3 2 2
m −n m + mn+ n 10. ( 3 i−2 ) ( 6 i+ 4 ) =¿
5. ÷ =¿
m 3+ n3 m 2−mn+ n2 a. -26i c. 24 – 26i
m 2−n2 b. 24i – 26 d. -26
a. -1 c.
m 2 + n2
2 2 2n+1 ×128
m + mn+ n m−n 11. =¿
b. 2 d. 2 n−1 × 4
m −mn+ n 2
m+ n a. 322n c. 22n
b. 128 d. 32
6. 13 x 6 ÷ 2 x 24 ÷ 8 =
a. 203 c. 72 12. The value of -4 + [-2 + 15 ÷ (-1 – (-4))] ÷ (-3) is
b. 117 d. 13 a. 9 c. -4
b. 1/3 d. -5

II. Problem Solving

13. A sum of money is divided among Leah, Clark, Yna, and the original weight. What fractional part of the water has
Kardo in the ratio 3 : 7 : 11 : 15, respectively. If the share been spilled?
of Kardo is P 300 more than the share of Leah, then what is a. 2/5 c. 1/4
the total amount of money of Clark and Yna together? b. 4/5 d. 3/4
a. P 1,500 c. P 450
b. P 1,450 d. P 1,800 15. The scores of 8 students in a math quiz are 75, 79, 73,
83, 87, 90, 93, and 96. What is the average score of the
14. The weight of a flask is 25% of the weight of the flask students?
when filled with water. After filling up the flask, some of the a. 88 c. 84.5
water got spilled during transportation. Now, the flask, b. 90.2 d. 83.7
along with the remaining water, weighs only seven-tenths of

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16. Arturo can do a job in 4 hours that Billy can do in 3 23. Find the likelihood of drawing 4 Queens and a King from
hours and Vhong can do in 6 hours. If the three work a standard deck of cards.
together, in how many hours will they finish the job? a. 1/(52C5) c. 4/(52C5)
1 1 b. ((52C4)( 52C1))/( 52C5) d. (52C5)/(( 52C4)( 48C1))
a. hour c.1 hours
12 3
2 3
b. 1 hours d. 1 hours
3 4
17. The average age of a husband and wife and their pet 24. The length of a rectangle is 3 cm more than its width. If
dog is 21 years. If the average age of the husband and wife the perimeter of the rectangle is 58 cm, how many square
is 26 years, how old is the dog? centimeters are in the area of the rectangle?
a. 21 c. 15 a. 104 c. 162
b. 26 d. 11 b. 186 d. 208
18. If 6 boys can paint their classroom in 8 hours, how
many hours would it take 10 boys, working at the same 25. The ages of Boy and Manny are in the ratio of 3 : 2,
rate, to paint the classroom? respectively. After 8 years, the ratio of their ages will be
1 4 4 : 3. What is the age of Manny now?
a. 13 c. 4 a. 24 c. 19
2 5 b. 21 d. 16
1 1
b. 8 d. 4 26. There are 60 students in the canteen. If two-thirds of
4 2
these students are boys and three-fifths of the boys weigh
below 50 kg, how many boys weigh above 50 kg?
19. A chemist has 30 mL of a 19% alcohol solution. How
a. 40 c. 24
many mL of a 13% alcohol solution does she need to make
b. 36 d. 16
a 16% alcohol solution?
a. 60 mL c. 35 mL
27. If the numerator of a fraction increases by 250% and
b. 30 mL d. 48 mL
the denominator is decreased by 7, the resultant fraction is
7/9. What is the original fraction if the denominator is 625%
20. Find the value of x in log ( x +1 )=1 of the numerator?
a. -1 c. 2 a. 7/9 c. 4/25
b. 1 d. 9 b. 4/9 d. 1/10

28. An auditorium can accommodate 975 persons. About

21. In the figure below, the radius of the large circle is R 72% of the available concert tickets were sold. How many
and the radius of each small circle is r. Write, in terms of R tickets were unsold for the concert?
and r, a formula that can be used to find the area of the a. 702 c. 573
shaded portion. b. 975 d. 273
a. 3 π 2−π R 2
29. In a race, the first runner-up receives 3/4 of the
b.
πr 2 champion’s prize, while the second receives 2/5 of what the
7 champion received. What is the difference between the
c. πR2−3 πr 2 prize of the first runner-up and the second runner-up given
that the champion’s prize money is P 20,000?
d. πr 2−3 πR2
a. P 7,000 c. P 6,000
b. P 5,000 d. P 4,000
22. If the chance that an event will happen is 2/5, what is
the probability that it will NOT take place? 30. How many meters of wire will a famer need for fencing
a. 4/5 c. 3/5 a rectangular field 0.38 km by 0.57 km?
b. 1 d. 6/25 a. 2,280 m c. 950 m
b. 1,900 m d. 216.6 m

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 III. Data Interpretation

Concert Ticket Sales for the Year

600

500
Number of Tickets

400

300

200

100

0
Jan Feb Mar Apr May Jun Jul Aug Sep Oct Nov Dec

Local Concert Foreign Concert

31. What is amount of the total sales of local concert tickets 33. By how many percent more are the number of local
for the year? concert ticket sales in January when compared with the
a. 3,710 c. 3,650 number of foreign concert ticket sales in June?
b. 3,220 d. 3,380 2
32. Which among the following months had the least total a. 50% c. 166 %
sales?
3
a. September c. March b. 25% d. 100%
b. November d. February

Tablets and Capsules Consumed in Metro Manila from 2000 to 2009

4.5
4
Number of Tables and Capsules (in millions)

3.5
3
2.5
2
1.5
1
0.5
0
1998 2000 2002 2004 2006 2008 2010

Tablets Capsules

34. Which of the following periods observes a doubling in a. 2006 – 2007 c. 2001 – 2002
the number of capsules consumed? b. 2004 – 2005 d. 2003 – 2004

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 a. 1,200% c. 2,000%
35. The number of tablets consumed in 2006 is b. 1,900% d. 1,300%
approximately what percent of the total tablets consumed?
a. 30% c.19% 37. In which year did the biggest difference in the number
b. 14% d. 11% of tablets and the number of capsules consumed?
36. What is the rate of growth of the number of capsules a. 2006 c. 2001
consumed in 2000 to 2009? b. 2004 d. 2000

38. The number of Malaysian diabetics ages

Malaysian Diabetics Ages 0 to 69 Years Old 30 – 39 accounts for what percent of the
total number of Malaysian diabetics?
25 a. 25% c. 15%
b. 12% d. 22%
Number of Malaysian Diabetics

20 39. The number of Malaysian diabetics ages

50 – 59 is how many more than the number
of Malaysian diabetics ages 10 – 19?
15 a. 4 c. 6
b. 8 d. 10
10
40. The number of Malaysian diabetics ages
0 – 29 is how much less than the number of
5 Malaysian diabetics ages 40 – 69?
a. 32 c. 34
b. 22 d. 25
0
0 to 9 10 to 19 20 to 29 30 to 39 40 to 49 50 to 59 60 to 69
Age Group

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