Civil Engineering Exams (Civil Math) – Page 5

#80. P1,500.00 was deposited in a bank account, 20 years ago. Today it is worth P3,000.00. Interest is paid semi-annually. Determine the interest rate paid on this account?
A 3%
B 2.9%
C 3.5%
D 4%
Answer: 3.5%
#81. A merchant puts his P2,000.00 to a small business for a period of six years. With given interest rate on the investment of 15% per year, a compounded annually, how much will he collect at the end of the sixth year?
A P4,400.00
B P4,390.15
C P4,200.00
D P4,626.00
Answer: P4,626.00
#82. By the condition of a will, the sum of P2,000 is left to a girl to be held in trust fund by her guardian until it amounts to P5,000, when will the girl received the money if the fund is invented at 8% compounded quarterly?
A 7.98 years
B 10.34 years
C 11.57 years
D 10.45 years
Answer: 11.57 years
#83. The amount of P12,800 in 4 years at 5% compounded quarterly is _______________.
A P14,785.34
B P15,614.59
C P16,311.26
D P15,847.33
Answer: P15,614.59
#84. A man expects to receive P25,000 in 8 years. How much is that money worth now considering interest at 8% compounded quarterly?
A P13,859.12
B P13,958.33
C P13,657.23
D P13,265.83
Answer: P13,265.83
#85. At an interest rate of 10% compounded annually, how much will a deposit P1500 be in 15 years.
A P6,239.09
B P6,100.00
C P6,265.87
D P6,437.90
Answer: P6,265.87
#86. How many years will P100,000 earned a compound interest of P50,000 if the interest rate is 9% compounded quarterly?
A 3.25
B 4.55
C 5.86
D 2.11
Answer: 4.55
#87. The effective rate of 14% compounded semi-annually is:
A 14.49%
B 12.36%
C 14.94%
D 14.88%
Answer: 14.49%
#88. A student plan to deposit P1,500 in the bank now and another P3,000 for the next 2 years. If he plans to withdraw P5,000 3 years after his last deposit for the purpose of buying shoes, what will be the amount of money left in the bank after one year of his withdrawal? Effective annual interest rate is 10%.
A P1,400
B P1,055
C P1,550
D P1,450
Answer: P1,550
#89. How much money must be invested on Jan. 1, 1998 in order to accumulate P2,000 on Jan. 1, 2003. Money is worth 6%.
A P1,494.52
B P1,425.00
C P1,385.00
D P1,585.00
Answer: P1,494.52
#90. When will an amount be tripled with an interest of 11.56%?
A 12 years
B 11 years
C 9 years
D 10 years
Answer: 10 years
#91. A man borrowed P1,000,000 at the interest rate of 12% per annum, compounded quarterly. What is the effective rate?
A 3%
B 2.55%
C 4%
D 12.55%
Answer: 12.55%
#92. Mechanical Engineer wishes to accumulate a total of P10,000 in a savings account at the end of 10 years. If the bank pays only 4% compounded quarterly, what should be the initial deposit?
A P4876.94
B P4995.86
C P6716.53
D P5890.11
Answer: P6716.53
#93. Funds are deposited in a savings account at an interest rate of 8% per annum. What is the initial amount that must be deposited to yield a total of P10,000 in 10 years?
A P4894
B P4530
C P4000
D P4632
Answer: P4632
#94. Given three angles A, B and C whose sum is 180 degrees. If the tan A +Tan B +tan C = x. Find the value of (Tan A)(Tan B)(Tan C).
A x
B x2
C \(\frac{x^2}{16}\)
D None of the above
Answer: x
#95. A machine has been purchased and installed at a total cost of P18,000.00. The machine will be retired at the end of 5 years, at which time it is expected to have a scrap value of P2,000.00 based on current prices. The machine will then be replaced with an exact duplicate. The company plans to establish a reserve funds to accumulate the capital needed to replace the machine. If an average annual rate of inflation of 3% is anticipated, how much capital must be accumulated?
A P15,030.00
B P18,545.77
C P18,548.39
D P15,386.00
Answer: P18,548.39
#96. A firm borrows P2000 for 6 years at 8%. At the end of 6 years, it renews the loan for the amount due plus P2000 more for 2 years at 8%. What is the lump sum due?
A P6,135.00
B P5,280.00
C P5,254.00
D P6,035.00
Answer: P6,035.00
#97. What is the present worth of two P100 payments at the end of the third year and fourth year? The annual interest rate is 8%.
A P153
B P160
C P179
D P127
Answer: P153
#98. A deposit of P1000 is made in a bank account that pays 8% interest compounded annually. Approximately how much money will be in the account after 10 years?
A P2,160
B P2,345
C P1,860
D P1,925
Answer: P2,160
#99. You need P4000 per year for four years to go to college. Your father invested P5000 in 7% account for your education when you were born. If you withdraw P4000 at the end of your 17th, 18th, 19th, and 20th birthday, how much money will be left in the account at the end of the 21st year?
A P2500
B P3400
C P1700
D P4000
Answer: P1700