Civil Engineering Exams (Civil Math) – Page 2

#20. A bank deposit of P4,000 was made one year ago in one of the local banks which pays monthly interest. The bank account accumulates now to P4,392.60. Compute the effective annual interest rate.
A 6.54%
B 9.82%
C 4.86%
D 8.92%
Answer: 9.82%
#21. 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%
Answer: 6%
#22. A man deposit P100,000 for one year which pays 6% interest annually. He has a taxable income and the bank charges a withholding tax of 20% incremental income tax rate. Compute the after tax rate of return of his deposit?
A 4.80%
B 3.61%
C 5.41%
D 5.62%
Answer: 4.80%
#23. 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%
Answer: 10.8%
#24. A man applied for a car loan in a local financing bank which charges a rate of interest of 18%. Interest in this type of transaction is to be deducted from the loan at the time the money is released. At the end of one year the borrower will have to pay the same amount what is stated in his application for the loan. What is the actual interest doing the financing bank charge him?
A 23.95%
B 22.30%
C 21.95%
D 22.67%
Answer: 21.95%
#25. A man borrowed P20,000.00 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 23%
B 20%
C 19%
D 21%
Answer: 19%
#26. Discount P1650 for 4 months at 6% simple interest. What is the discount?
A P32.35
B P33.00
C P34.25
D P31.35
Answer: P32.35
#27. Find the discount if P2,000 is discounted for 6 months at 8% simple discount.
A P80.00
B P76.92
C P77.66
D P88.40
Answer: P80.00
#28. Compute the discount if P2,000 is discounted for 6 months at 8% simple interest.
A P76.92
B P77.60
C P80.00
D ?88.40
Answer: P76.92
#29. I owe P10,000 due at the end of 3 yrs. without interest. What should my creditor be willing to accept today if he discounts at 7% simple interest?
A P8264.46
B P7931.62
C P8162.98
D P7900.00
Answer: P8264.46
#30. I owe P10,000 due at the end of 3 yrs. without interest. What should my creditor be willing to accept today if he discounts at 7% simple discount?
A P7,900
B P8264.46
C P8162.98
D P7931.62
Answer: P7,900
#31. A merchant is offered a 5% discount for immediate payment of a bill which is due in 90 days. What is the largest simple interest rate at which he could afford to borrow in order to pay cash?
A 21%
B 18.2%
C 19.6%
D 17.8%
Answer: 21%
#32. A man borrowed P2,000 from a bank and promise to pay the amount for one year. He received only the amount of P1,920 after the bank collected an advance interest of P80.00. What was the rate of discount and the rate of interest that the bank collected in advance?
A 4% , 4.17%
B 3% , 3.17%
C 4% , 4.71%
D 3% , 3.71%
Answer: 4% , 4.17%
#33. The tangents of a spiral curve forms an angle on intersection of 25 degrees at station 2+058. Design speed is 80Kph. For a radius of central curve of 300 m and a length of spiral of 52.10 m. What is the stationing at the point where the spiral starts?
A 1 + 965.36
B 1 + 900.36
C 1 + 865.36
D 1 + 774.36
Answer: 1 + 965.36
#34. The tangents of a spiral curve forms an angle on intersection of 25 degrees at station 2+058. Design speed is 80Kph. For a radius of central curve of 300 m and a length of spiral of 52.10 m. What is the stationing of the start of central curve?
A 2+20.33
B 2+017.46
C 2+027.3
D 2+026.2
Answer: 2+017.46
#35. The tangents of a spiral curve forms an angle on intersection of 25 degrees at station 2+058. Design speed is 80Kph. For a radius of central curve of 300 m and a length of spiral of 52.10 m. What is the length of the spiral curve?
A 70
B 97.8
C 87.8
D 78.8
Answer: 78.8
#36. Given the data: find x.
Lines LAT DEP DMD 2A
AB 445.56 30.371 30.3731 1372.324
BC Y 75.451 X 2158.023
CD -58.328 ---- 148.621 -8668.766
DA -2.090 -42.439 ----- Z
A 90.46
B -88.698
C 136.913
D 15.762
Answer: 136.913
#37. Given the data: find x.
Lines LAT DEP DMD 2A
AB 445.56 30.371 30.3731 1372.324
BC Y 75.451 X 2158.023
CD -58.328 ---- 148.621 -8668.766
DA -2.090 -42.439 ----- Z
A 90.46
B -88.698
C 136.913
D 15.762
Answer: 136.913
#38. 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 \(cm^3\)
B 116 \(cm^3\)
C 118 \(cm^3\)
D 117 \(cm^3\)
Answer: 117 \(cm^3\)
#39. A solid materials is in the form of a rectangular parallelepiped 4’x6’x8’. The block is cut completely to form cube 1 x 1 x 1. How many cubes will be there?
A 48 cubes
B 24 cubes
C 18 cubes
D 192 cubes
Answer: 192 cubes