Direction: Determine the relationship between the first and the second numbers or the first and third numbers. Form among the suggested answers, choose the number that will complete the analog.

1. 3^3 is to 27 as 9^3 is to ____________.

27

279

729

728

792

Ans: 3)

3 X 3 X 3 = 27 as 9 X 9 X 9 X= 729

2. 0.25 is to 0.125 as 1.2 is to____________.

0.625

6.250

2.125

1.125

1.625

Ans: 2)

0.25 X .5 = 0.125 as 1.25 X .5 = 0.625

3. 12.5 is to 1/8 as 20 is to _____________.

1.1/6

¼

0.50

1/5

1/3

Ans: 4)

1/5 OR 20%

4. 6 is to 15 as36 is to _____________.

82

90

72

60

70

Ans: 2)

6/15 = 0.40 or 40%; 36/40% or 36/0.4=90

¾ is to 75% as_____________ is to 80%.

3 ¼

7/8

4/5

6/7

.080

Ans: 3)

5. ¾ is .75 or 75% ; 4/5 = 0.08 or 80%

Direction: Each of the following questions and problems and number series, choose the correct answer from the choices given.

1. If two halves of 2 ½ are added to 2 ½, the result is?

1) 2 ½

2) 3

3) 5

4) 5 ½

5) 6

Ans: 3)

Two halves of 2 ½ ; 2 ½ = 5

2. If the following quantities were arranging from the greatest to least, which one would have the second least value?

6/12

5/12

4/10

¾

2/6

Ans: 3)

0.40 6/12=50; 5/12=41; 4/10=40; ¾ = 75; 2/6= .33

3. To represent a family budget on a circle graph, how many degrees should be used to represent an item that is 20 percent of the total budget?

20

36

60

72

90

Ans: 4)

72**°** there are 360**°** in a circle; 20% or 1/5 of 360**°**= 72**°**

4. C is the midpoint in line segment AE, B and D are on line AE so that AB= BC and CD =DE.

What percent of AC is AD?

33%

50%

66%

140%

150%

Ans: 5)

150% AD is larger than AC. It is 3/2 or 1.5 or 150% as large

5. Suppose that the time now is 10.30am. What will be the time 16 hours from now?

12.30am

2.30am

1.30am

12.30pm

2.30pm

Ans: 2)

2:30pm 10:30am + 12 hrs. = 10:30pm + 4hrs =2:30am

6. what number when increased by 90 percent of itself equals 156?

76

80

86

82

90

Ans: 4)

X + 0.90(X)= 156; 156 =1.90(X) 82+0.90(82)= 156

1.90 1.90 82+73.8=156

82=X 82+74=156

156=156

7. Anthony bought a watch and sold it at 35 percent more than its original cost. How much did he earn if the cost of the watch was P?

P = 35%

P = 35%X

35%P

P-35%

P = (Px35%)

Ans: 5)

8. What is the smallest positive number that will give a remainder of 3 when it is divided by 4, 5 or 10?

63

23

33

53

43

Ans: 2)

23 20-3=20; 60/4=15; 50/4 =12.5; 20/4=5; 30/4= 7.5 ; 40/4=10

60/5=12; 50/5=10; 20/5= 4; 30/5= 6; 40/6=6.6

60/10=6; 50/10=5; 20/10=2; 30/10=3; 40/10=4

9. How many numbers between 200 and 400 begin or end with 32?

110

130

120

110

99

Ans: 4)

110 All numbers from 300 to 399 begin with 3. There are100. There are 10 numbers which end in 3 from 200 to 299 (203,213,223…) 100=10=110

10. Barangay Uno has a population of 15,000 which decrease by 20 people per annum. Barangay Dos has a population of 5000 people which increase by 80 people per year. In how many years will the population of both barangays be equal?

10 years

20 years

15 years

5 years

8 ½ years

Ans: 1)

10 yrs. Let X= the # of years the population of both barangays will be equal.

15,000-20X= 5,000+80X

-20X-1(80-X) =5,000- 15,000

-100X = -10,000

-100 = -100

X = 10 years

11. Josef answered all 25 test questions he was given. His percent score was taken by giving him 4 pts for every correct answer and by subtracting 1 pt. for every answer he made. Assuming he obtained a score of 70%, how many questions did he get correctly?

1719

15

20

22

Ans: 2)

19 correct answers Let X = # of correct answer

25-X = # of wrong answers

4X – 1 (25-X) = 70

5x= 70 +25

5x = 95

5 5

X=19

12. How much will it cost to lay 40 square meter of tiles if each square feet of tire cost P109.50?

P47,128

P28,000

P47,575

P48,250

47,000

Ans: 1)

P47,128.80 1sq. meter = 10.76 sq. ft 1 sq.ft of tile = P109.50

40 sq. m. x (10.76)=430.40sq.ft

430.40 sq.ft x P109.50= P47,128.80

13. A tenant get 4 sacks of palay for every 7 sacks harvested. If the farmland produced 560 sacks of palay, how many sacks of palay would the tenant get?

280

350

300

320

Ans: 4)

320 sacks 4/7 x 560 =__ 4x 560__

7

=2270/7 = 320

14. A group of 40 workers can finish digging a tunnel n 12 days. How many workers can finish the job in 8 days?

50

65

60

55

58

Ans: 3

60 workers W1W2 = d1d2

40:W2 = 8days:12days

8W2 = 12×40

__8W2 __= __12x 40__ = W2 =60 workers

8 = 8

15. The Maharlika Multi-Purpose Cooperative, Inc. has a trust fund of almost Half a Million Pesos. Part of the fund is invested at an annual interest rate of 6 percent and the rest is invested at an annual interest rate of 8 percent. If the income from both investments is invested at an annual interest rate of 8 percent. Of the income from both investment is P39,000 annually, how much is invested at each rate?

P100.000 at 6% and P400,000, at 8%

P80,000 at 6% and P420,000 at 8%

P75,000 at 6% and P425,000 at 8%

P25,000 at 6% and P425,000 at 8%

P50,000 at 6% and P450,000 at 8%

ANS: 5)

P50,000 at 6% and P450,000 at 8% P50,000x .06 = P 3, 000.00

P450,ooo x .08= P36,000.00

P39,000.00

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