Civil Engineering Exams (Civil Math) – Page 9

#160. Mr. Juan de la Cruz borrowed P1,000 and was able to signed a promissory note that he would pay P2,032.79 after 4 years. How much is the nominal rate of interest and the corresponding effective rate if money is compounded bi-monthly.
A 16%; 16.52%
B 18%; 19.40%
C 17%; 17.4%
D 15%; 15.6%
Answer: 18%; 19.40%
#161. Determine the effective interest rate of P1.00 for one year compounded semi-annually at a nominal rate of 6%.
A 6.20%
B 6.09%
C 7.02%
D 5.90%
Answer: 6.09%
#162. Compute the effective rate of interest corresponding to each of the following interest rate. If you invest your money which would you prefer?
A 12% compounded quarterly
B 12% compounded monthly
C 12% compounded bi-monthly
D 12% compounded daily
Answer: 12% compounded daily
#163. 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
Answer: 12% compounded monthly
#164. A businessman wants to have P500,000 four years from now. What amount should he invest now if it will earn interest of 6% compounded quarterly for the first 2 years and 8% compounded semi-annually during the next 2 years.
A P379,409.60
B P561,895.55
C P420,539.68
D P510,485.45
Answer: P379,409.60
#165. A businessman invested P1,000 and after 4 years, it becomes P1,608.44 when he invested at a certain rate of interest compounded bi-monthly. Determine the nominal rate and the corresponding effective rate.
A 12%; 13.40%
B 14%; 14.6%
C 12%;12.62%
D 14%; 14.8%
Answer: 12%;12.62%
#166. If P10,000 is borrowed now at 6% interest, how much will remain to be paid after a P3,000 payment is made four years now?
A P6824.77
B P9624.77
C P6896.24
D P7844.24
Answer: P9624.77
#167. A businessman invests P100,000 right now. He then received two payments P109,460 one at the end of 3 years and one at the end of the 6th year. Calculate the return on investment.
A 15%
B 12%
C 18%
D 20%
Answer: 20%
#168. The VISA CREDIT CARD charges 2% interest per month on the unpaid balance for purchases made on this card. Compute the effective rate of interest.
A 24.14%
B 19.83%
C 26.82%
D 18.42%
Answer: 26.82%
#169. A man purchases government bonds at P750 each which mature in 10 years and have a face value of P1000 at the end of 10 years. Determine the average nominal interest rate earned by the purchase price of P750 assuming nominal compounding.
A 2.90%
B 2.98%
C 2.92%
D 3.10%
Answer: 2.92%
#170. How long will it take money to double itself if invested at 5% compounded annually?
A 7 years
B 28 years
C 14 years
D 21 years
Answer: 14 years
#171. If P5000 shall accumulate for 10 years at 8% compounded quarterly the compound interest at the end of 10 years is:
A P6,040
B P6,400
C P60,404
D P64,040
Answer: P6,040
#172. Find the compound amount and interest if P2500 is invested at 8% compounded quarterly for 5 years and 6 months.
A P7,200.55
B P3,864.95
C P3,864.95
D P3,975.25
Answer: P3,864.95
#173. An amount of P1000 becomes P1608.44 after 4 years compounded bimonthly. Find the nominal interest.
A 12.62%
B 12%
C 14.64%
D 15%
Answer: 12%
#174. The amount of P5,000 was deposited in the bank earning an interest of 7.5% per annum. Determine the total amount at the end of 5 years, if the principal and interest were not withdrawn during the period?
A P71,781.47
B P72,475.23
C P70,374.90
D P78,536.34
Answer: P71,781.47
#175. What is the corresponding effective rate of 18% compounded semi-quarterly?
A 19.25%
B 19.48%
C 18.46%
D 18.95%
Answer: 19.48%
#176. In how many years is required for P2000 to increase by P3000 if interest at 12% compounded semi-annually?
A 8
B 9
C 20
D 7
Answer: 8
#177. Find the present worth of a future payment of P100,000 to be made in 10 years with an interest of 12% compounded quarterly.
A P30,444.44
B P33,000.00
C P30,655.68
D P30,546.01
Answer: P30,655.68
#178. Find the nominal rate which if converted quarterly could be used instead of 12% compounded semi-annually.
A 14.02%
B 21.34%
C 11.83%
D 11.29%
Answer: 11.83%
#179. What nominal rate, compounded semi-annually, yields the same amount as 16% compounded quarterly?
A 16.64%
B 16.18%
C 16.32%
D 16%
Answer: 16.32%