MACAPAGAL MATH Exam 1

A laboratory keeps two acid solutions on hand. One is 20% acid and the other is 35% acid. How many liters of distilled water should be added to a liter of 35% acid solution in order to dilute it to a 20% acid solution?

• 0.45

• 0.75

• 0.25

• 0.57

At the city park, 32% of the trees are oaks, if there are 400 trees in the park, how many trees are NOT oak?

• 278

• 312

• 272

• 128

Find all the real solutions to the logarithmic equation ln x + ln 2 = 3

• e^1/2

• e2

• e^3/2

• e

Parcel charges of a courier company are follows: P40 for the first 2 kilograms, P15 for each of the succeeding kilogram weight of parcels. With these rates, what amount would be charged on a parcel weighing 30 kg?

• P660

• P450

• P460

• P650

Simplify x/(x-y) + y/(y-x)

• -1

• 1

• 0

• 2

Joni is 5 feet 11 inches tall and Pierre is 6 feet 5 inches tall. How much taller is Pierre than Joni?

• 1 ft 7 in

• 1 ft

• 7

• 6 in

An Army food supply truck can carry 3 tons. A breakfast ration weighs 12 ounces, and the other two daily meals weigh 18 ounces each. Assuming each soldier gets 3 meals per day, on a ten-day trip, how many soldiers can be supplied by one truck?

• 100

• 150

• 200

• 320

What percentage of the volume of a cone is the maximum right circular cylinder that can be inscribed in it?

• 23

• 44

• 37

• 67

Find the number where 4 times added to 6 times added to 6 times its reciprocal is equal to -14

• -3, -1/2

• -3, 1/2

• 3, 1/2

• 3, -1/2

A square has a side 5 cm shorter than the side of a second square. The area of the larger square is four times the area of the smaller square. Find the side of each square

• 15, 6

• 15, 5

• 10, 5

• 10, 6