#220.
How much money must you invest today in order to withdraw P1,000 per year for 10 years if the interest rate is 12%?
A
P12,000
B
P5,650
C
P10,000
D
P4,800
Answer: P5,650
#221.
A man inherited a regular endowment of P100,000 every end of 3 months for x years. However, he may choose to get a single lump of P3,072,939.80 at the end of 4 years. If the rate of interest was 14% compounded quarterly, what is the value of x.
A
13
B
10
C
12
D
11
Answer: 10
#222.
Rainer Wandrew borrowed P50,000 from Social Security System, in the form of calamity loan, with interest at 8% compounded quarterly payable in equal quarterly installment for 10 years. Find the quarterly payments.
A
P1,827.79
B
P1,892.18
C
P1,287.78
D
P1,972.36
Answer: P1,827.79
#223.
A man purchased a car with a cash price of P350,000. He was able to negotiable with the seller to allow him to pay only a down payment of 20% and the balance payable in equal 48 end of the month installment at 1.5% interest per month. On the day he paid the 20th installment, he decided to pay the remaining balance. How much is the monthly payment and what is the remaining balance that he paid?
A
P186,927.25
B
P184,726.28
C
P189,882.27
D
P186,122.34
Answer: P184,726.28
#224.
For having been loyal, trustworthy and efficient, the company has offered a superior a yearly gratuity pays of P20,000 for 10 years with the first payment to be made one year after his retirement. The supervisor, instead, requested that he paid a lumpsum on the date of his retirement less interest that the company would have earned if the gratuity is to be paid on yearly basis. If interest is 15%, what is the equivalent lumpsum that he could get?
A
P100,375.37
B
P100,735.37
C
P100,757.37
D
P100,575.37
Answer: P100,375.37
#225.
In anticipation of a much bigger volume of business after 10 years, a fabrication company purchased an adjacent lot for its expansion program where it hopes to put up a building projected to cost P4,000,000 when it will be constructed 10 years after. To provide for the required capital expense, it plans to put up a sinking fund for the purpose. How much must the company deposit each year if the interest to be earned is computed at 15%?
A
P197,008.25
B
P199,090.25
C
P177,099.25
D
P179,008.25
Answer: P197,008.25
#226.
A company purchased for a cash price of P500,000 a machine which is estimated to have a salvage value of P50,000 at the end of its 10 years economic life. How much yearly deposit must the company deposit in a sinking fund that will pay 18% interest, compounded yearly, to accumulate the needed fund to purchase a new machine at the end of the 10th year economic life of the machine it purchased if a new machine will cost 75% more than by that time.
A
P35,075.58
B
P30,728.58
C
P33,659.36
D
P39,625.32
Answer: P35,075.58
#227.
A car dealer advertises the sale of a car model for a cash price of P280,000. If purchased on installment, the required down payment is 15% and balance payable in 18 equal monthly installments at an interest rate of 1.5% per month. How much will be required monthly payments.
A
P15,558.12
B
P10,972.33
C
P11,588.72
D
P15,185.78
Answer: P15,185.78
#228.
An airplane flew from A to B along the wind for 1.5 hours a total distance of 500 km and consumes 1.63 hours in flying the same distance back against the wind. What is the speed of the wind in still air?
A
302.92 Kph
B
222.92 Kph
C
312.29 Kph
D
322.92 Kph
Answer: 322.92 Kph
#229.
A simple curve has a tangent distant of 98.45 m. Find the radius of the simple curve if the deflection angle of 20 m chord is 2.65 degrees.
A
216.29 m
B
116.33m
C
316.66 m
D
125.29 m
Answer: 216.29 m
#230.
A metal block having a mass of 155 kg is to be drawn to form a wire of length 1500m. Assuming density of metal of 8.5 g/cc. What is the volume of the metal?
A
0.0182 cum
B
0.182 cum
C
0.0252 cum
D
0.252 cum
Answer: 0.0182 cum
#231.
A metal block having a mass of 155 kg is to be drawn to form a wire of length 1500m. Assuming density of metal of 8.5 g/cc. What is the cross sectional area of the wire?
A
0.222cum
B
0.322cum
C
0.122cum
D
0.312cum
Answer: 0.122cum
#232.
A metal block having a mass of 155 kg is to be drawn to form a wire of length 1500m. Assuming density of metal of 8.5 g/cc. What is the diameter of the wire?
A
0.393 cum
B
0.493 cum
C
0.363 cum
D
0.224 cum
Answer: 0.393 cum
#233.
A chord of a circle is 1.25 m long and is located at a distance of 0.65m, from the center of the circle. Find the area.
A
2.95 sq m
B
4.33 sq m
C
2.15 sq m
D
2.55 sq m
Answer: 2.55 sq m
#234.
What is the depth of the strongest beam that can be cut from a log whose diameter is 73.23 cm. If its strength is directly proportional to the product of the width and the square of the depth?
A
68.98 cm
B
58.98 cm
C
56.45 cm
D
57.95 cm
Answer: 58.98 cm
#235.
A spherical Tank has a capacity of 7200 cc is partially filled with water. What is the area of the circle formed by the water surface if it is 7.2cm from the center of the sphere?
A
289 sq. m
B
208.2 sq. m
C
288.02 sq. m
D
188.05 sq. m
Answer: 288.02 sq. m
#236.
A construction worker built a parabolic hut which is 16.1m wide at the base and 12.4 m high at the center. How high above the base should the ceiling 12.2m wide be constructed?
A
4.28m
B
5.28m
C
3.22m
D
6.13m
Answer: 5.28m
#237.
The cross section of a pipe is bounded by two concentric circles such that the bigger one circumscribed a square of dimension 7.9 cm, while the smaller one is inscribed in it. What is the cross sectional area of the pipe?
A
39.15 sq cm
B
49.152 sq cm
C
48.05sq cm
D
50.10 sq cm
Answer: 49.152 sq cm
#238.
The cross section of a pipe is formed by two concentric circles such that the bigger one circumscribe a hexagon in sides 9.4 cm. While the smaller one is inscribed in it. What is the area of the pipe cross section?
A
29.43 sq. cm
B
89.34 sq. cm
C
69.43 sq. cm
D
51.13 sq. cm
Answer: 69.43 sq. cm
#239.
A circle is tangent to two perpendicular lines. A smaller circle is drawn inside such that is tangent to the lines and the bigger circle. What is the area of the smaller circle if the bigger circle has an area of 50.4 sq cm?