WEEK 1 PART 2 Flashcards
(100 cards)
A swimming pool can be filled by three water pipes, A, B and C. Pipe A alone can fill the pool in 12 hours. Pipe
C alone fills the pool four times as fast as pipe B alone. When all three pipes are used, the pool is filled in 3 hours.
How long would pipe B alone fill up the pool?
A. 4 hrs
C. 6 hrs
B. 5 hrs
D. 6.67 hrs
B. 5 hrs
If a card is drawn out of an ordinary deck of cards, find the probability that it is the heart?
A. 0.15
C. 0.25
B. 0.20
D. 0.30
C. 0.25
What is the area enclosed by the curve x2 + y2 − 6x − 8y + 9 = 0?
A. 16π
B. 26π
C. 36π
D. 46π
A. 16π
The area of a circle circumscribing about an equilateral triangle is 250.45 square meters. What is the area of the
triangle?
A. 93.6 m2
C. 113.6 m2
B. 103.6 m2
D. 123.6 m
B. 103.6 m2
Find the equation of a line passing through (8, -6) and perpendicular to 4x + y = 9.
A. 4x + y = 32
B. x + 4y = 32
C. 4x – y = 32
D. x – 4y = 32
D. x – 4y = 32
Water is being pumped into a conical tank at the rate of 100 𝑓𝑡3/min. The height of the tank is 20 ft and its radius
is 5 ft. How fast is the water level rising when the water height is 10 ft?
A. 15.09
B. 5.09
C. 10.09
D. 20.09
B. 5.09
A closed cylindrical tank has a capacity of 16𝜋 𝑚3. Determine the radius of the tank that requires minimum amount
of material used.
A. 1.5 m
B. 2 m
C. 0.75 m
D. 1.33 m
B. 2 m
Find the area between the curves 𝑦 = 4𝑥 − 𝑥2 and the curve y = x.
A. 9/2
C. 5/2
B. 2/9
D. 2/5
A. 9/2
Determine the volume of the solid obtained by rotating the region bounded by 𝑦 = 𝑥2 − 4𝑥 + 5, x = 1, x =4, and
the x-axis about the x-axis.
A. 47
B. 48
C. 49
D. 50
C. 49
What is the half-life of a radioactive isotope if 25% of the original mass of the isotope remains after 20 days?
A. 8 days
C. 10 days
B. 9 days
D. 12 days
C. 10 days
If P(h) pounds per square foot is the atmospheric pressure at a height h foot above sea level, then P(h) = Be−0.00003h,
where B is a constant. Given that the atmospheric pressure at sea level is 2,116 lb/ft2, find the atmospheric pressure
outside of an airplane that is 10,000 ft high?
A. 1,457.5 psf
B. 1,567.5 psf
C. 1,657.5 psf
D. 1756.5 psf
B. 1,567.5 psf
A random sample of plum tomatoes was selected from a local grocery store and their weights recorded. The mean
was 6.5 ounces with a standard deviation of 0.4 ounces. If the weights are normally distributed, what percentage
of the weights fall between 5.7 and 7.3?
A. 90.4%
B. 92.4%
C. 95.4%
D. 96.4%
C. 95.4%
In a college, a list of grades of 12 students has been declared. Their grades are given as: 85, 34, 42, 51, 84, 86, 78,
85, 87, 69, 74, 65. What is the skewness of the given data?
A. Positively skewed distribution
B. Negatively skewed distribution
C. Normal distribution
D. None of these
B. Negatively skewed distribution
. A man borrowed P5,000 from a bank and agreed to pay the loan at the end of 9 months. The bank discounted the
loan and gave him P4,000 in cash. What was the rate of discount?
A. 10%
C. 20%
B. 15%
D. 25%
C. 20%
A man invested P10,000 at an interest rate of 10% compounded annually. What will be final amount of his
investment, in terms of today’s pesos, after five years, if inflation remains the same at the rate of 8% per year?
A. Php 19,060.86
C. Php 16,096.86
B. Php 16,960.86
D. Php 10,960.86
D. Php 10,960.86
The combined mass of car and passengers travelling at 72 km/hr is 1500 kg. Find the kinetic energy of this
combined mass.
A. 300 kJ
C. 400 kJ
B. 200 kJ
D. 500 kJ
A. 300 kJ
What is the force required to accelerate amass of 30kg at a rate of 15m/s².
A. 380 N
C. 460 N
B. 450 N
D. 560 N
B. 450 N
What force is exerted by a water jet, 60 mm in diameter, if it strikes a wall at the rate of 15 m/s?
A. 636.17 N
B. 442.62 N
C. 764.23 N
D. 563.34 N
A. 636.17 N
In a bolted joint two members are connected with an axial tightening force of 2200 N. If the bolt used has metric
threads of 4 mm pitch, then torque required for achieving the tightening force is:
A. 0.7 N-m
B. 1.4 N-m
C. 1.0 N-m
D. 2.8 N-m
B. 1.4 N-m
A simply supported beam of span length 6m and 75mm diameter carries a uniformly distributed load of
1.5 kN/m. What is the maximum value of bending moment?
A. 6.75 kN-m
B. 13.5 kN-m
C. 81 kN-m
D. 125 kN-m
A. 6.75 kN-m
The length of the chest-expander spring when it is un-stretched, is 0.6 m and its stiffness is 10 N/mm. The
work done in stretching it to 1m will be:
A. 800 J
C. 3200 J
B. 1600 J
D. 6400 J
A. 800 J
Determine the atmospheric pressure at a location where barometric reading is 740 mm Hg and gravitational
acceleration is g = 9.7 m/s2. Assume the temperature of mercury to be 10°C, at which the density is 13,570 kg/m3.
A. 99.45 kPa
B. 97.41 kPa
C. 95.44 kPa
D. 98.66 kPa
B. 97.41 kPa
The barometer of a mountain hiker reads 930 mbars at the beginning of a hiking trip and 780 mbars at the end.
Neglecting the effect of altitude on local gravitational acceleration, determine the vertical distance climbed.
Assume g = 9.7 m/s2.
A. 1274.21 m
B. 1289.00 m
C. 1267.34 m
D. 1583.34 m
B. 1289.00 m
It is the circulation of water in the earth-atmosphere system.
A. Hydrology
C. Water balance
B. Hydrologic cycle
D. Water circulation
B. Hydrologic cycle