Civil Engineering Exams (Civil Math) – Page 15

#280. 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
Answer: 10
#281. Find the supplement of an angle whose compliment is 62o.
A 142o
B 165o
C 144o
D 152o
Answer: 152o
#282. A certain angle has a supplement five times its complement. Find the angle.
A 50
B 36
C 62
D 67.5
Answer: 67.5
#283. The sum of the interior angles of the triangle is equal to the third angle and the difference of the two angles is equal to 2/3 of the third angle. Find the third angle.
A 90
B 45
C 30
D 70
Answer: 90
#284. The measure of 1.5 revolutions counter clockwise is:
A 360 degrees
B 720 degrees
C 540 degrees
D 180 degrees
Answer: 540 degrees
#285. The measure of 2.25 revolutions counter clockwise is?
A 720 degrees
B 540 degrees
C 900 degrees
D 810 degrees
Answer: 810 degrees
#286. Solve for \(\theta: sin \theta - sec \theta + csc \theta - tan^2 \theta = -0.0866\)
A 53
B 43
C 33
D 23
Answer: 43
#287. What are the exact values of the cos A and tan A functions if sin A = 3/7?
A \(Cos A = \frac{\sqrt{10}}{7} \) and \( Tan A = \frac{\sqrt{10}}{20}\)
B \(Cos A = \frac{2\sqrt{5}}{7} \) and \( Tan A = \frac{3\sqrt{5}}{20}\)
C \(Cos A = \frac{\sqrt{5}}{7} \) and \( Tan A = \frac{\sqrt{5}}{20}\)
D \(Cos A = \frac{2\sqrt{10}}{7} \) and \( Tan A = \frac{3\sqrt{10}}{20}\)
Answer: \(Cos A = \frac{2\sqrt{10}}{7} \) and \( Tan A = \frac{3\sqrt{10}}{20}\)
#288. A machinery supplier is offering a certain machinery on a 10% down payment and the balance payable in equal end of the year payments without interest for 2 years. Under this arrangement, the price is pegged to be P250,000. However, for cash purchase, the machine would only cost P195,000. What is the equivalent interest rate that is being charged on the 2-year payment plant if interest is compounded quarterly?
A 19.44%
B 20.40%
C 21.20%
D 18.90%
Answer: 19.44%
#289. If P10,000 pesos is deposited each year for 9 years, how much annuity can a person get annually from the bank every year for 8 years starting 1 year after 9th deposit is made. Cost of money is 14%.
A P34,879.23
B P34,675.19
C P36,964.40
D P35,246.50
Answer: P34,675.19
#290. An employee is earning P12,000 a month and he can only afford to purchase a car which will require a down payment of P10,000 and a monthly amortization of not more than 30% of his monthly salary. What would be the maximum cash value of a car he can purchase if the seller will agree to a down payment of P10,000 and the balance in four (4) years at 18% per year payable on monthly basis. The first payment will be due at the end of the first month.
A P136,546.80
B P135,512.83
C P154,620.45
D P163,439.30
Answer: P135,512.83
#291. A man agreed to pay the loan he is borrowing from the bank in six (6) equal end-of the-year payments of P71,477.70. Interest is 18% per annum compounded annually and is included in the yearly amount he will be paying the bank. How much money is the man borrowing from the bank?
A P250,000.59
B P250,500.78
C P259,000.26
D P295,200.15
Answer: P250,000.59
#292. A man wishes to purchase a set of appliances with a total cost of P20,000. He made a down payment of P5,000 and the balance payable in 24 equal monthly installments. If financing charge is 12% for each year computed on the total balance to be paid by installment and interest rate is 12%. How much would each installment payment be?
A P851.82
B P790.45
C P870.45
D P932.34
Answer: P851.82
#293. A machine has just been purchased for 1.2 million. It Is anticipated that the machine will be held 5 years, that it will have a salvage value of P800,000 as based on current prices, and that the annual rate of inflation during the next 5 years will be 7%. The machine will be replaced will be replaced with a duplicate and the firm will accumulate the necessary capital by making equal end-of-year deposits in a reserve fund that earns 6% per annum. Determine the amount of actual deposit.
A P278,654
B P320,540
C P290,450
D P235,875
Answer: P278,654
#294. A businessman borrowed P10,000 with interest at the rate of 5% payable annually. The debt will be paid, principal and interest included by equal installments at the end of each year for 3 years. Compute the annual payment.
A P2,451.10
B P1,835.30
C P3,257.11
D P3,672.09
Answer: P3,672.09
#295. A fully secured loan of P30,000 was to be amortized by 10 equal semi-annual payments, the first payment to be made 6 months after the loan finalization. After the 6th payment was made the debtor was in a position to settle the entire debt balance by a single payment on that date. If the interest on the loan is 12% compounded semi-annually, what be the amount of the single payment?
A P14,123.91
B P15,394.50
C P16,496.68
D P21,540.70
Answer: P14,123.91
#296. A refrigeration equipment fabricator sold an ice drop making machine with the condition that in case the machine will not be able to produce the guaranteed capacity, he will deduct from the agreed price of the machine the loss of revenue that the buyer will incur during the economic life of the machine which is set at 5 years plus 12% cost of money. One month after the machine was delivered, the buyer complained to the fabricator that he is not getting the guaranteed production. After series of tests, it was determined that the buyer would be losing P4,000 worth of unrealized sales per year. Assuming no increase in operation cost if guaranteed production were attained, how much must the buyer deduct from the agreed price of the machine?
A P15,510.05
B P14,629.40
C P14,419.10
D P16,694.20
Answer: P14,419.10
#297. Because of the peso devaluation, a car costing P150,000 is to be purchased through a finance company instead of paying cash. If the buyer is required to pay P40,000 as down payment and P4,000 each month for four years, what is the effective interest rate on the diminishing balance?
A 35.3%
B 36.4%
C 37.2%
D 38.5%
Answer: 35.3%
#298. A man purchases a computer system worth P15,000 with interest at 5% payable semi-annually. He signed a contract to pay P5,000 cash and to discharge the balance, principal and interest included by equal payments at the end each 6 months for 10 years. At the end of four (4) years, this contract was sold to yield the investor 7% payable semi-annually. Find the price he paid.
A P6,198.74
B P7,235.53
C P6,784.80
D P8,126.40
Answer: P6,198.74
#299. A computer machine would cost P105,000 if not purchased can just be leased for P30,000 per annum payable at the end of each year throughout its economic life of 5 years. No scrap value is expected at the end of this period. Cost of capital is 10% and the applicable income tax rate is 40%. The present value of an ordinary annuity of P1.00 per five periods at 10% is 3.791. Should the machine be purchased or leased?
A Advisable to purchase the machine.
B Not advisable to purchase the machine.
C Advisable to rent the computer.
D Not advisable to rent the computer.
Answer: Not advisable to rent the computer.