If the density of a gas is 0.003 slug/ft3, what is the specific weight of the gas?
a) 15.2 N/m3
b) 9.04 N/m3
c) 98.2 N/m3
d) 76.3 N/m3
A provincial chapter of PSME held a lottery to raise funds for their organization, with P10,000 top prize and 2,000
tickets printed and sold. What is the mathematical expectation of member if he bought 10 tickets.
a) P50 b) 76
c) P50
d) P55
The time required for an elevator to lift a weight varies directly with the weight and the distance through which it is
lifted and inversely as the power of the motor. It takes 30 sec for a 10 HP motor to lift 100 lbs through 50ft. what
size of the motor is required to lift 800 lbs in 40 sec through 40 ft?
a) 50hp
b) 48hp
c) 45hp
d) 59
In how many ways can P500 be made up both 5 peso and 20 peso bills?
a) 20
b) 24
c) 25
c) 26
In how many ways can tomatoes at 2 centavos each and onions at 5 centavos each be bought for P1?
a) 9
b) 10
c) 7
d) 12
In a pile of log ,each layer contains one more log than the layer above the top contains just one log if there are 105
log in the pile how many layers are there?
a) 10
b) 14
c) 12
d) 15
A and B working together can finish painting the house in six days. A, working alone, can finish it in five days less
than B. How long will it take each of them to finish the work alone?
a) 10days
b) 12 days
c) 11 days
d) 15 days
A man bought 23 chickens for P29.00. The cocks cost P3.00 each, the hens P1.5 each, and the chicks at 0.50 each.
How many cocks, hens, and chicks did he buy?
a) 3, 4, 13
b) 4, 6, 13
c) 5, 5, 13
d) 5, 7, 12
A group of students rented a convention hall for P240.00. If there were 4 students less, the share of each would have
been P2.00 more. How many students where in the group?
a) 40
b) 24
c) 30
d) 18
Determine the 7th term of the expansion (2y-x)11
a) 14, 784 x5y3
b) 11, 784x6y7
c) 985x6y5
d) 765x6y7
Find the term involving y4 in the expansion (x+y)7.
a) 35x4y3
b) 35x3y4
c) 25x4y3
d) 25x4y4
Find the sum of the integers between 2 and 100 which are divisible by 3.
a) 970
c) 1683
c) 1100
d) 1985
A tank can fill by one pipe in 9 hours and by another pipe in 12 hours. Starting empty, how long will it take to fill
the tank if water is being taken out by a third pipe at a rate per hour equal to one-sixth the capacity of the tank?
a) 18hrs b) 15hrs
c) 21hrs
d) 36hrs
Find the remainder if we divide: 4y3 + 18y2 + 8y – 4 by (2y + 3)
a) 10
b) 15
c) 11
d) 13
The sum of two numbers is 35 and their product is 15. Find the sum of their reciprocal.
a) 2/7
b) 2/3
c) 7/3
d) 5/2
The seating section in a coliseum has 30 seats in the first row, 32 seats in the second row, 34 seats in the third row,
and so on, until the tenth row is reached, after which there are ten rows each containing 50 seats. Find the total
number of seats in the section.
a) 900
b) 890
c) 810
d) 390
Vincent is four times as old as Peter. In six years Vincent will be twice as old as Peter. What is the age of Vincent
now?
a) 6
b) 12
c) 20
d) 39
If a train passes as many telegraph poles in one minute as it goes miles per hour, how far apart are the poles?
a) 18 feet
b) 88 feet
c) 38 feet
d) 95 feet
Find the sum of odd integers from 1 to 41.
a) 361
b) 431
c) 421
d) 441
The equation whose roots are the reciprocal of the roots of the equation, 2x 3 – 3x – 5x = 0
a) 2x2 – 5x – 3 =0 b) 5x2 -2x -3 = 0 c)
What is the value of k to make the expression kx2 – 3kx + 9 a perfect square?
a) 2
b) 4
c) 3
d) 5
How many terms of the sequence – 9, - 6, - 3, … must be taken so that the sum is 66?
a) 11
b) 6
c) 4
d) 9
A farmer is to plant rice in a rectangular field 30 meters by 40 meters. He started on the edge and plant around the
perimeter. How wide a strip should he plant for each side in order to do half the work?
a) 5 m
b) 2.5 m
c) 3 m
d) 5.5 m
Water is pouring into a swimming pool. After t hours, there are t +
water pouring into the pool when t = 9 hours?
a) 0.0194
b) 1.167
c) 1.235
t
gallons in the pool. At what rate, in GPM is
d) 3.6
Determine the distance traveled by a particle between a time interval of 0.2 second to 0.3 second if its velocity is
V  12 t 4 
7
, where V is in cm/s and t is in seconds
t
a) 3.75 cm
b) 2.84 cm
c) 2.75 cm
d) 3.84 cm
A pole cast a shadow 15-m long when the angle of elevation of the sun is 61°. If the pole has lean 15° from the
vertical directly toward the sun, what is the length of the pole?
a. 54.23 m
b. 48.64 m
c. 36.84 m
d. 64.84 m
A 100-kg salt solution originally 4 % by weight salt in water is boiled to reduce water content until the concentration
is 5 % by weight salt. How much water is evaporated?
a) 20
b) 25
c) 15
d) 22.5
What is the supplement of an angle whose compliment is 62 o?
a) 152o
b) 118o
c) 28o
d) 60o
A force of 200 lb acts on a block at an angle of 28 o with respect to horizontal. The block is pushed 2 ft horizontally.
Find the work done by this force.
a) 480 J
b) 408 J
c) 840 J
d) 804 J
Determine the slope of the curve y   x 2 at the point (2, 3).
a) 4
b) – 4
c) 2
d) – 2
Five years ago the father is three times as old as his son. Ten years from now, the father will be twice as old as his
son. How old is the son twelve years from now?
a) 32 years old
b) 20 years old
c) 50 years old
d) 38 years old