# Quantitative Analysis and Numerical Reasoning Part 2

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)

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