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
A businessman invested P50,000 in a company that engage in manufacture of plastic
products. In return he receives P3,000 per year for 5 years and his P50,000 investment
back at the end of the 5 years. Compute the rate of return of the. investment.
A. 6%
B. 4%
C. 5%
D. 7%
A contract calls for the payment of P1,200 at the end of each year for 15 years. At what
interest rate compounded annually would this agreement to be equivalent to a cash
payment of P11,400?
A. 9.10%
B. 6.34%
C. 7.34%
D. 8.51%
A man borrowed P300,000 from a lending institution which will be paid after 10 yrs. at
an interest rate of 12% compounded annually. If money is worth 8% per annum how
much should he deposit to a bank monthly in order to discharge his debt 10 yrs. hence?
A. P2,798.52
B. P3,952.50
C. P4,672.31
D. P5,091.92
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A businessman borrowed P300,000 and agrees to discharge his obligation by paying a
series of 8 equal payments of P57434.78 the first being due at the end of 5 years. Find
the rate of interest he is paying if it is compounded semi-annually.
A. 6%
B. 8%
C. 10%
D. 12%
What uniform annual amount should be deposited each year in order to accumulate
P100,000 at the end of the 5th annual deposit if money earns 10% interest?
A. P15,708.83
B. P17,943.45
C. P18,494.45
D. P16,379.75
Which of these gives the lowest effective rate of interest?
A. 12.35% compounded annually
B. 11.9% compounded semi-annually
C. 12.2% compounded quarterly
D. 11.6% compounded monthly
Compute the numbers of years in order that the capital recovery factor for a uniform
payment series be equal to 0.1424564 if money is worth 6% compounded semiannually?
A. 8
B. 4
C. 5
D. 10
A group of Filipino Mechanical Engineers formed a corporation and the opportunity to
invest P8,000,000 in either of the two situations. The first is to expand a domestic
operation. It is estimated that this investment would return a net year end cash flow of
P2,000,000 each year for 10 years and at the end of that time the physical assets, which
would no longer be needed, could be sold for P5,000.000. Alternative opportunity would
involve building and operating a plant in a foreign country. This operation would involve
no net cash flow during the first 3 years, but it is believed that, beginning with the end
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of the fourth year, an annual flow of P4,000,000 would be received, running through the
end of the tenth year. After that time, it is believed that the operation and facilities
might be expropriated, with little, if any, compensation, being paid. Which investment, if
either, would you the recommend?
A. Domestic Operation
B. International Operation
C. None of the above
D. Both Domestic and International Operation
The president of a growing engineering firm wishes to give each of 50 employees a
holiday bonus. How much is needed to invest monthly for a year at 12% nominal
interest rate compounded monthly, so that each employee will receive a P1,000 bonus?
A. P2,750
B. P3,942
C. P4,311
D. P3,890
A man paid a 10% down payment of P200,000 for a house & lot and agreed to pay the
balance on monthly installments for 5 years at an interest rate of 15% compounded
monthly. What was the monthly installment in pesos?
A. P44,528.34
B. P42,821.87
C. P43,625.92
D. P45,825.62
Find the equation of the plane that contains the point(2, -4, 1) and is perpendicular to
the vector equal to 2i-3j+4k.
A. 2x -3y +4z = 20
B. 3x -2y +4z = 20
C. 3x -4y +2z = 20
D. 4x -3y +2z = 20
A circle having a radius of 9cm. circumscribes a right triangle whose area is 43.23sq.cm.
If one of the sides if 18cm long., another side is_____
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A. 15cm
B. 5cm
C. 10cm
D. 4cm
Three people A, B and C rode in a minibus that has 6 vacant seats on each side. In how
many ways can they be seated if A insists on sitting at the right side of the minibus?
A. 660 ways
B. 120 ways
C. 720 ways
D. 620 ways
Which is better to invest your money at the rate of 12%?
A. 12% compounded monthly
B. 12% compounded semi-annually
C. 12% compounded bi-monthly
D. 12% compounded daily
A pyramid has an altitude of 20 cm and a square base of 8 cm by 8 cm. It is cut parallel
to the base at a distance of 7cm from base. Determine the volume of the smaller
pyramid formed.
A. 119 cm3cm3
B. 116 cm3cm3
C. 118 cm3cm3
D. 117 cm3cm3
xy is inversely proportional to yz. When xy = 12.54, yz = 15, 000. Find xy if yz = 12, 900.
A. 14.23
B. 13.66
C. 14.58
D. 14.53
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A business man wishes to earn 7% on his capital after payment of taxes. If the income
from an available investment will be taxed at an average rate of 42%, what minimum
rate of return, before payment of taxes, must the investment offer to be justified?
A. 12.1%
B. 13.4%
C. 11.1%
D. 12.7%
If a man buys a diskette and is to pay for it making 20 monthly payments of P40 each,
with interest on the unpaid balance at 6% nominal interest rate what is the purchase
price?
A. P784.54
B. P853.45
C. P759.50
D. P820.90
By the conditions of a will, the sum of P25,000 is left to a girl to be held in a trust fund
by her guardian until it amounts to P45,000. When will the girl receive the money if the
fund is invested at 8% compounded quarterly?
A. 7.42 years
B. 7.25 years
C. 6.8 years
D. 7 years
A loan of P500 is made for a period of 15 months at a simple interest rate of 15%. What
future amount is due at the end of the loan period?
A. P5637.50
B. P5900.90
C. P5937.50
D. P5842.54
A couple decided to save for the college education of their two-year-old son. What
annual deposit should they make on each birthday from the third to the 16th inclusive
so that their son will be able to withdraw P1,500 on each birthday from the 17th to the
20th inclusive? Money is worth 4% compounded monthly?
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A. P321.10
B. P299.90
C. P312.43
D. P297.65
Object A approaches object B which is stationary. Velocity of object A is V = 25i + 4j -5k
in m/s. Mass of A = 10kg, and that of B = 4 kg. After impact, the two objects sticks
together. Compute the x component of the velocity after impact.
A. 18.36i
B. 19.55i
C. 17.863i
D. 12.25i
If P500.00 is invested at the end of each year for 6 years, at an annual interest rate of
7%, what is the total peso amount available upon the deposit of the sixth payment?
A. P3,210
B. P3,577
C. P3,000
D. P4,260
Two sides and an included angle of a triangular lot are measured as 2.56m, 3.54m and
48.8o respectively. What is the angle measure of the angle opposite to 3.54m?
A. 85.10o
B. 96.09o
C. 80.32o
D. 65.09o
Two years ago, a boy is 2/3 as old as his sister. In two years, the boy will be ¾ as old as
she. How old is the boy?
A. 10
B. 15
C. 25
D. 20
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Two observing stations were set up 850 m apart. A structural building in between them
was observed to have an angle of elevation at the top equal to 12.53 degrees and 10.21
degrees respectively from each station. Find the height of the building.
A. 88.50 m
B. 82.25 m
C. 89.50 m
D. 84.50 m
The average annual cost of damages caused by floods to certain subdivision located
along the Pasig River is estimated at P700,000. To build a gravity dam to protect the
area from the floods, would cost P2,500,000 and would involve an annual maintenance
cost of P20,000. With interest at 8% compounded annually, how many years will it take
for the dam to pay itself?
A. 5.2
B. 6.1
C. 4.5
D. 4.9
Fifteen years ago, P1,000.00 was deposited in a bank account, and today it is worth
P2,370.00. The bank pays interest rate paid on this account?
A. 4.9%
B. 5.8%
C. 5.0%
D. 3.8%
How many circular permutations can be made from 7 different objects?
A. 5040
B. 5039
C. 720
D. 719
What is the value of 3−2i / 2−i?
A. 8i / 5
B. 8−3i / 5
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C. 8+i / 5
D. 8−i / 5
A metal block having a mass of 155 kg is to be drawn to form a wire of length 1500m.
Assuming the density of metal to be 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
How much money must you invest today in order to withdraw P2000 annually for 10
years if the interest rate is 95?
A. P12,853.32
B. P12,881.37
C. P12,385.32
D. P12,835.32
A machine has a first cost of P800,000 ana a salvage value of P50,000 at the end of its
life after 10 yrs. The annual savings for the use of the machine P124,900.97. If the annual
maintenance cost of machine is P4000 and the sinking fund to recover depreciation
earns 6%, compute the rate of return of investment.
A. 8%
B. 7%
C. 6%
D. 9%
In five years, P18,000 will be needed to pay for a building renovation. In order to
generate this sum, a sinking fund consisting of three annual payments is established
now. For tax purposes, no further payments will be made after three years. What
payments are necessary if money is worth 15% per annum?
A. P2,870
B. P3,919
C. P5,100
D. P2,670
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A bank is advertising 9.5% accounts that yields 9.84% annually. How often is the interest
compounded?
A. Monthly
B. Bi-monthly
C. Quarterly
D. Daily
A man deposit P2,000 in the bank today at the rate of 4% per annum. After two years he
deposits another P4,000. In five years, he will withdraw P6,000. How much money does
he have on the 6th year?
A. P970.07
B. P890.28
C. P990.38
D. P870.90
If P1,000 becomes P1126.49 after 4 years when invested at a certain nominal rate of
interest compounded semi-annually, determine the nominal rate and the corresponding
effective rate.
A. 3% and 3.02%
B. 4.29% and 4.32%
C. 2.30% and 2.76%
D. 3.97% and 3.95%
A man is 25 years old and his son is 5. In how many years will the father be three times
as old as the son?
A. 4
B. 5
C. 6
D. 7
A man borrows P5,000 and agrees to cancel his debt by paying equal sums at the end of
each year 3 months for 20 ½ years. Find his quarterly payments if interest is at the rate
of 5% compound quarterly.
A. P97.82
B. P67.80
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C. P83.90
D. P72.98
The measure of 2.25 revolutions counter clockwise is?
A. 720 degrees
B. 540 degrees
C. 900 degrees
D. 810 degrees
A factory building has six entrance doors. In how many ways can a person enter and
leave a different door?
A. 36 ways
B. 30 ways
C. 15 ways
D. 72 ways
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
A machine costing P 1, 000, 000 is expected to produce 10, 000 units of steel pipe
during its entire life before being replaced. At the end of its life it will have a scrap value
of P50, 000. The cost of housing the machine is P25, 000 a year. The power consumption
per unit is P9 and the maintenance of the machine per unit will be P7. If depreciation if
the Sinking Fund Method at 12% and the annual production is 2, 500 units. What is the
fixed cost per unit produced?
A. P50
B. P51
C. P52
D. P53
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What is the accumulated amount of the five-year annuity paying P6000 at the end of
each year, with interest at 15% compounded annually?
A. P40,454.29
B. P41,114.29
C. P41,454.29
D. P40,544.29
A businessman bought a P1,000 taxable corporation bond in which he will receive P150
a year in interest and his P1,000 back when the bond becomes due in 5 years. If the
income tax rate is 28%, compute the after-tax rate of return for this investment
A. 10.8%
B. 9.6%
C. 7.8%
D. 11.2%
What rate of interest compounded annually is the same as the rate of interest of 8%
compounded quarterly?
A. 6.48%
B. 8.42%
C. 8.24%
D. 6.88%
A deposit of 110,000 was made for 31 days. The net interest after deducting 20%
withholding tax is P890.36. Find the rate of return annually.
A. 12.25%
B. 11.75%
C. 12.75%
D. 11.95%
Kaye is now thrice as old as Koy. Five years ago Kaye was 5 times as old as Koy. How old
is Kaye.
A. 20
B. 30
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C. 40
D. 50
P500,000 was deposited at an interest of 6% compounded quarterly. Compute the
compound interest after 4 years and 9 months.
A. 163475.37
B. 178362.37
C. 158270.37
D. 183327.37
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