Civil Engineering Exams (Civil Math) – Page 8

#140. P200,00 was deposited in a rural bank at an interest of 4% compounded semi-annually. Compute worth of the deposit after 5 years and 6 months.
A P248,674.86
B P245,234.68
C P345,642.34
D P421,622.63
Answer: P248,674.86
#141. P200,000 was deposited for a period of 4 years and 6 months and bears on interest of P85,649.25. What is the rate of interest if it is compounded quarterly?
A 8%
B 6%
C 7%
D 5%
Answer: 8%
#142. P300,000 was deposited at a rate 6% compounded monthly. After how many years will the compound interest be P129,613.28?
A 6
B 5
C 8
D 10
Answer: 6
#143. A certain amount was deposited 5 years and 9 months ago at an interest of 8% compounded quarterly. If the sum now is P315,379.85, how much was the amount deposited?
A P200,000
B P180,000
C P240,000
D P260,000
Answer: P200,000
#144. If the rate of interest is 12% compounded annually, find the equivalent rate of interest if it is compounded quarterly.
A 11.49%
B 15.28%
C 8.53%
D 13.32%
Answer: 11.49%
#145. How long years will it take money to quadruple if it earns 8% compounded quarterly?
A 17.5
B 20.5
C 19.5
D 18.5
Answer: 17.5
#146. How many months at an interest rate of 10% per month does money have to be invested before it will double in value?
A 70 months
B 64 months
C 55 months
D 42 months
Answer: 70 months
#147. For some interest rate “i” and some number of interest periods “n”, the uniform series capital recovery factor is 0.0862 and the sinking factor is 0.0416. Compute the value of the interest “i”.
A 4.46%
B 5.52%
C 6.54%
D 8.53%
Answer: 4.46%
#148. A sum of money “x” pesos will be received six years from now. At 5% annual interest the present worth now of “x” is P60,000. At the same rate of interest, what would be the value of “x” 10 years from now?
A P88,412.42
B P97,733.68
C P96,422.64
D P92,364.34
Answer: P97,733.68
#149. Find the present worth of a future payment of P100,000 to be made is 5 years with a interest of 12% compounded quarterly.
A P45,867.67
B P87,645.23
C P23,234.76
D P55,367.58
Answer: P55,367.58
#150. Initial savings deposit of P80,000 in a certain bank earn 6% interest per annum compounded monthly. If the earnings from the deposit are subject to a 20% tax what would be the net value of the deposit be after three quarters?
A P95,324.95
B P82,938.28
C P68,743.24
D P56,244.75
Answer: P82,938.28
#151. Accumulate P3,000 for 9 years at 6% compounded quarterly. Compute the compound interest earned.
A 3920.28
B 2127.42
C 3048.15
D 1309.21
Answer: 2127.42
#152. Find the nominal rate which if compounded quarterly is equivalent to 6.5% compounded semi-annually.
A 4.389%
B 6.448%
C 5.308%
D 7.245%
Answer: 6.448%
#153. On his sixth birthday a boy is left an inheritance. The inheritance will be paid in a lumpsum of P10,000 on his 21st birthday. What is the present value of the inheritance as of the boys sixth birthday, if the interest is compounded annually?
A P5,550
B P6,000
C P5,000
D P4,550
Answer: P5,550
#154. 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%
Answer: 3% and 3.02%
#155. A man borrowed P20,000 from a local commercial bank which has a simple interest of 16% but the interest is to be deducted from the loan at the time that the money was borrowed, and the loan is payable at the end of one year. How much is the actual rate of interest?
A 19%
B 25%
C 15%
D 17%
Answer: 19%
#156. Convert 12% compounded semi-annually to a rate compounded quarterly
A 19.23% compounded quarterly
B 23.56% compounded quarterly
C 14.67% compounded quarterly
D 11.83% compounded quarterly
Answer: 11.83% compounded quarterly
#157. Compute the effective annual interest rate on a loan if the interest rate is 16% per annum compounded quarterly.
A 16.24%
B 16.98%
C 16.35%
D 16.18%
Answer: 16.98%
#158. 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
Answer: P970.07
#159. A couple borrowed P4,000 from a lending company for 6 years at 12%. At the end of 6 years, it renews the loan for the amount due plus P4,000 more for 3 years at 12%. What is the lump sum due?
A P14,842.40
B P16,712.03
C P12,316.40
D P15,382.60
Answer: P16,712.03