Quantitative Ability

If a black tile represents -2 and a white tile represents +2, what is the

total value of all the blocks below?

• -30

• -2

• 0

• 2

• 30

Answer explanation

Each black tile is -2 and each white tile is +2. To find the total, count the tiles and apply their values. The total value calculated results in -2, which is the correct answer.

If 32 =3 x3 =9, and 3' = 3 x 3 x 3 x 3 =81, then which of the following is

equal to 10° + 10'?

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Mathon went to Inkhorn Bookstore where he got a discount of ₱15 from

a book that was marked 20% off. Then, he went to Lofty Bookstore to

check out one of their limited edition books that is now discounted at

30%. If Mathon got a discount on the book from the Lofty Bookstore for

the same amount as the original price of the book he got from Inkhorn

Bookstore, how much is the difference between the two books' original

prices?

• ₱ 75

• ₱ 175

• ₱ 250

• ₱ 325

• ₱ 600

Answer explanation

The original price of the book from Inkhorn is ₱75 (since ₱15 is 20% of ₱75). The Lofty Bookstore's book, discounted at 30%, has an original price of ₱250 (since ₱75 is 30% of ₱250). The difference is ₱250 - ₱75 = ₱175.

Basket A, composed of blue and green balls, has a total of 50 balls. Basket

B, composed of orange and yellow balls, has a total of 120 balls. The ratio

of blue to green balls in Basket A is 9:1, while the ratio of yellow to orange

balls in Basket B is 5:7. Albert removed all the green balls from Basket A

and all the yellow balls from Basket B to place in Basket C. What is the

ratio of yellow to green balls in Basket C?

• 1:5

• 1:10

• 9:1

• 10:1

• 5:1

Answer explanation

Basket A has 45 blue and 5 green balls (9:1 ratio). Basket B has 50 yellow and 70 orange balls (5:7 ratio). In Basket C, there are 5 green and 50 yellow balls, giving a ratio of 50:5, which simplifies to 10:1.

• 2

• 4

• 6

• 7

• 8

Prime numbers are defined as whole numbers greater than 1, and that

can only be divided by 1 and themselves. For instance, 5 is a prime

number since this can only be divided by 1 and 5, such as 5 divided by 1 is

5, while 5 divided by 5 is 1.

How many distinct prime number divisors does 72 have?

• 0

• 1

• 2

• 3

• 4

Answer explanation

To find the distinct prime number divisors of 72, we factor it: 72 = 2^3 * 3^2. The distinct prime factors are 2 and 3, totaling 2 distinct prime number divisors.

In the figure below, each square represents a square of side 1 unit. Figure A

has 5 squares, while Figure B has 14 squares. What is the total number of

squares that can be found in Figure C?

• 16

• 25

• 32

• 54

• 55

Answer explanation

To find the total squares in Figure C, we can observe a pattern. Figure A has 5 squares, Figure B has 14. Following the pattern, Figure C has 55 squares, which includes all possible squares of different sizes.

The volume of a closed space can be measured by determining the

number of cubic units that can fit inside a given space without any gaps or

overlaps.

What is the length (in cm) of each edge of a cube whose volume is

numerically equal to the area of a square whose length of each side

measures 8 cm?

• 64

• 16

• 8

• 4

• 2

Answer explanation

The area of the square is 8 cm x 8 cm = 64 cm². The volume of a cube is given by V = s³, where s is the length of an edge. Setting s³ = 64 gives s = 4 cm, which is the correct answer.

Consider the figure below. ABCD is a square with E, F, G, and H as points

at the middle of sides AB, BC, CD, and AD, respectively. ABCD and a circle

intersect at points E, F, G, and H. If AB is 4 cm, find the area (in square

centimeters) of the shaded portion.

• 4π-8

• 4π-22

• 8π

• 6π

• 4π

Answer explanation

The area of square ABCD is 16 cm². The area of the circle is 4π (radius 2 cm). The shaded area is the area of the square minus the area of the circle: 16 - 4π = 4π - 8. Thus, the correct answer is 4π - 8.

Two radio stations A and B aired an advertisement (ad) of a certain

product. This ad is aired in station A every 15 minutes, while in station B

every 20 minutes. If the two radio stations simultaneously air the ad at

8:00 AM for the first time, how many times will this simultaneously airing

of the ad happen from 9:00 AM to 5:30 PM?

• 1

• 8

• 9

• 10

• 60

Answer explanation

The ads air every 15 minutes on station A and every 20 minutes on station B. The least common multiple of 15 and 20 is 60 minutes. They will air together at 9:00 AM, 10:00 AM, ..., 5:00 PM, totaling 9 times.