Mathematics

Question 1

1. Which of the factors below is the prime factor of 90?
   A. 9⋅5
   B. 3⋅3⋅5
   C. 3⋅5⋅2
   D. 3⋅3⋅5⋅2

Answer 1

D. 3⋅3⋅5⋅2

Question 2

2. Which of the following numbers below is a prime number?
   A. 3
   B. 6
   C. 9
   D. 12

Answer 2

A. 3

Question 3

3. What is the largest prime number less than 100?
   A. 96
   B. 97
   C. 98
   D. 99

Answer 3

B. 97

Question 4

4. Which of the following factors is the prime factor of 70?
   A. 7⋅10
   B. 7⋅1⋅10
   C. 5⋅3⋅2⋅2
   D. 7⋅5⋅2

Answer 4

D. 7⋅5⋅2

Question 5

5. What is the greatest common factor (GCF) of the numbers 27 and 18?
   A. 9
   B. 45
   C. 27
   D. 135

Answer 5

A. 9

Question 6

6. What is the greatest common divisor (GCD) of the numbers 60 and 80?
   A. 40
   B. 10
   C. 20
   D. 130

Answer 6

C. 20

Question 7

7. Find the least common multiple (LCM) of the numbers 27 and 18.
   A. 81
   B. 27
   C. 54
   D. 45

Answer 7

C. 54

Question 8

8. Find the least common denominator (LCD) of the numbers 60 and 80.
   A. 160
   B. 420
   C. 240
   D. 320

Answer 8

C. 240

Question 9

9. What is the value of 80% in decimal?
   A. 0.080
   B. 0.8
   C. 80.0
   D. 0.008

Answer 9

B. 0.8

Question 10

10. What is the equivalent value of 3.63 in percent?
    A. 363%
    B. 0.363%
    C. 3630%
    D. 0.0363%

Answer 10

A. 363%

Question 11

11. What is the equivalent fraction of the decimal 0.75?
    A. 2/29
    B. 29/40
    C. 30/40
    D. 29/30

Answer 11

C. 30/40

Question 12

12. 33% of what number is 84.
    A. 253.55
    B. 254.55
    C. 255.55
    D. 256.55

Answer 12

B. 254.55

Question 13

13. What is the value of the polynomial 10^2 - 2x^2 - 11x if x =-2

A. -146
B. 174
C. 190
D. 146

Answer 13

B. 174

Question 14

14. Which of the following algebraic expressions results in an even number if n^2 = 3?

A. n^2 + n + 1
B. 3n^2 + 2n
C. 2n^2 + 2n
D. n^2 + 4n

Answer 14

A. n^2 + n + 1

Question 15

15. Simplify 5 + {(8 x 2)(3 - 5) + 7} - 10

A. 40
B. -35
C. -10
D. -30

Answer 15

D. -30

Question 16

16. Find the value of the unknown variable n given the proportion 115: n= 5:10
    A. 230
    B. 200
    C. 575
    D. 250

Answer 16

A. 230

Question 17

17. A Toyota Hilux can carry a maximum load of 700 kg. How many passengers or things weighing 50 kg each can the vehicle load?
    A. 11
    B. 12
    C. 13
    D. 14

Answer 17

D. 14

Question 18

18. If a man uses 20 gallons of gasoline to travel 350 km in his car, how many gallons will he need for a 750 km trip?
    A. 42.86
    B. 52.86
    C. 62.86
    D. 72.86

Answer 18

A. 42.86

Question 19

19. If Jet walked 20 km in 4 hrs, how far can he walk (in km) at the same rate in 6 hrs?
    A. 10 km
    B. 20 km
    C. 30 km
    D. 40 km

Answer 19

C. 30 km

Question 20

20. A 234 inches rope is divided into pieces; the ratio of which is 5:13. Find the length (in inches) of each piece.
    A. 75 and 159
    B. 135 and 99
    C. 65 and 169
    D. 168 and 66

Answer 20

C. 65 and 169

Question 21

21. If the two consecutive terms of the Fibonacci sequence are both odd, is the next term even or odd?
    A. Odd
    B. Even
    C. both odd and even
    D. cannot be defined

Answer 21

B. Even

Question 22

22. Using Binet’s Formula, find the 25th term in Fibonacci Sequence
    A. 832,040
    B. 85, 025
    C. 57, 887
    D. 75, 025

Answer 22

D. 75, 025

Question 23

(23-25) For the purposes of a marketing research, a survey of 1000 women is conducted in a town. The results show that 52 % liked watching comedies, 45% liked watching fantasy movies and 60% liked watching romantic movies. In addition, 25% liked watching comedy and fantasy both, 28% liked watching romantic and fantasy both and 30% liked watching comedy and romantic movies both. 6% liked watching none of these movie genres.

23. How many women like watching all the three movie genres?
    A. 400
    B. 200
    C. 220
    D. 20

Answer 23

B. 200

Question 24

24. Find the number of women who like watching at least two of the given genres.
    A. 510
    B. 430
    C. 500
    D. 530

Answer 24

B. 430

Question 25

25. Find the number of women who like watching only one of the three genres. A. 510 B. 430 C. 500 D. 530

Answer 25

A. 510

Question 26

26. Which of the following mathematical expressions below is a formula for trapezoid? A. A = 1/2 bh B. A = 2L + 2W C. A = bh D. A = (1/2) (b1 + b2) h

Answer 26

D. A = (1/2) (b1 + b2) h

Question 27

27. Find the area of a trapezoid if the bases are 10 cm and 14 cm, and the perpendicular distance between them is 12 cm. A. 120cm^2 B. 144cm^2 C. 124cm^2 D. 128cm^2

Answer 27

B. 144cm^2

Question 28

28. The barrel contains 50 mangoes. Three mangoes selected in random were found to be ripe. Therefore, probably all 50 mangoes are ripe. What type of argument is this? A. Conjecture B. Counterexample C. Deductive D. Inductive

Answer 28

D. Inductive

Question 29

29. Which of the following is not an example of deductive reasoning? A. 3x=24,then x=8 B. All men are mortal, Johnny in a man, Therefore, Johnny is mortal. C. Every crow I have ever seen is black, therefore all crow is black. D. Given two supplementary angles with one of them measuring 100 degrees, the measure of other angle is 80 degrees.

Answer 29

C. Every crow I have ever seen is black, therefore all crow is black

Question 30

30. "If the product of two natural numbers is odd, then the sum of the two natural numbers is odd." Which of the following is a counterexample? A. 2,3 B. 1,3 C. 4,10 D. 6,4

Answer 30

B. 1,3

Question 31

31. John planned a weekend trip. Before his trip, he paid 1,500 pesos for transportation. He then spent one-third of his remaining money at a restaurant. After that, he withdrew 3,000 pesos from the ATM and spent half of his remaining money shopping. John now has 4,000 pesos left. How much money did John have before paid for transportation? A. P 12,000 B. P 6,000 C. P 9,000 D. P 7,600

Answer 31

C. P 9,000

Question 32

32. A team of 8 managers from a tech company met for a collaboration session. After the meeting, each manager greeted the others with a handshake. How many unique handshakes took place? A. 56 handshakes B. 28 handshakes C. 36 handshakes D. 26 handshakes

Answer 32

B. 28 handshakes

Question 33

33. Jake is 6 years younger than Chris. Chris is y years old. If the sum of their ages is 54, how old is Jake? A. 22 years old B. 24 years old C. 26 years old D. 28 years old

Answer 33

B. 24 years old

Question 34

34. 57.77 is 36% of what number? A. 512 B. 271 C. 20.80 D. 160.47

Answer 34

D. 160.47

Question 35

35. 0.0034 is what percent of 0.0120? A. 0.2833% B. 2.833% C. 28.33% D. 280%

Answer 35

C. 28.33%

Question 36

36. What is 88% of 76? A. 66.88 B. 86.36 C. 36.86 D. 88.66

Answer 36

A. 66.88

Question 37

37. A pair of shoes is on sale at 20% off the marked price. If the marked price is P 2,500, what is the sale price? (resolve) A. P 2,300 B. P 2,200 C. P 2,100 D. P 2,000

Answer 37

D. P 2,000

Question 38

38. Which among the following are the factor x^80-49y^4=0? A. (x^20-7y^4)(x^4-7y^2) B. (x^2-7y^4)(x^40-7y^2) C. (x^40-7y^4)(x^2-7y^2) D. (x^40-7y^4)(x^40-7y^2)

Answer 38

D. (x^40-7y^2)(x^40-7y^2)

Question 39

39. Find the sum of the first 22 positive odd integers. A. 564 B. 648 C. 244 D. 484

Answer 39

D. 484

Question 40

40. What is the variance of a distribution having a standard deviation of 5.42? A. 27.67 B. 22.76 C. 29.36 D. 33.16

Answer 40

C. 29.36

Question 41

41. Find the Mean of the Mean, Median, and Mode base on the data given 77, 83, 83, 85, 87, 90, 90, 93, 94, 99, 99 A. 89 B. 90.218 C. 89.09 D. 90.09

Answer 41

A. 89

Question 42

42. A mother invested ₱ 100,000 in a mutual fund on the date her first son was born. If the money is worth 10% compounded semi-annually, how much will the so receive on his 18th birthday? (F=P(1=i)^n ) n=mt and i=r/m A. ₱ 578, 181 B. ₱ 579, 181.81 C. ₱ 578, 182 D. ₱ 579, 181.61

Answer 42

D. ₱ 579, 181.61

Question 43

43. A man expects to receive ₱ 125,000 in eight years. How much is that money worth now considering an interest rate of 12% compounded quarterly? P=F/(1+r/m)^mt A. ₱ 54, 674.12 B. ₱ 48, 542.13 C. ₱ 34, 673.13 D. ₱ 43, 213.14

Answer 43

B. ₱ 48, 542.13

Question 44

44. (3/5-2/3)+(1/4+2/4) is equal to: A. 41/60 B. 11/20 C. 4/12 D. 1/2

Answer 44

A. 41/60

Question 45

45. An employee borrows ₱ 60,000 for 7 months at an interest rate of 12% per year. Find the interest earned and the total he must pay? F=P (1+rt) A. ₱ 64,200 B. ₱ 64,000 C. ₱ 60,200 D. ₱ 62,400

Answer 45

A. ₱ 64,200

Question 46

46. What day of the week is 25 days from now if today is a Monday? A. Monday B. Wednesday C. Thursday D. Friday

Answer 46

D. Friday

Question 47

47. (1/8-2/3)-2/5 is equal to: A. 48/120 B. 47/120 C. 46/120 D. 45/120

Answer 47

B. 47/120

Question 48

48. (2/5*3)÷(5*3/4) is equal to: A. 8/25 B. 24/75 C. 29/90 D. 45/200

Answer 48

A. 8/25

Question 49

49. What is the value of the polynomial 7x^2-2x^2+5x if x=-2? A. -30 B. 74 C. -74 D. 30

Answer 49

C. -74

Question 50

50. I If a box contains 12 yellow, 20 black, and 14 green balls. Find the probability of getting black? A. 0.3 B. 0.2 C. 0.4 D. 0.5

Answer 50

C. 0.4