civil engineering questions (refresher)

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1 IF YOU CAN SOLVE THESE PROBLEMS IN 1 HR, THEN YOU ARE A CAL TECH EXPERTPROBLEMS TAKEN FROM 1 ST MEETING REFRESHER AT TOLENTINO AND ASSOCIATES..

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Civil Engineering Questions

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Page 1: Civil Engineering Questions (Refresher)

 1IF YOU CAN SOLVE THESE PROBLEMS IN 1 HR, THEN YOU ARE A CAL TECH EXPERTPROBLEMS TAKEN FROM 1ST MEETING REFRESHER AT TOLENTINO AND ASSOCIATES..1. A deposit of P110, 000 was made for 31 days.

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The net interest after deducting 20% withholding tax is P890.36.Find the rate of return annually.2. P5, 000 is borrowed for 75 days at 16% per annum simple interest. How much will be due at the end of 75 days?S-1Mr. J de la Cruz borrowed money from a bank. He received from the bank P1, 340.00 and promised to payP1,

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500.00 at the end of 9 months. Determine the following3. Simple interest rate.4. The corresponding discount rate or often referred to as the “Bankers Discount”. S-2John borrowed P50, 000.00 from the bank at 25% compounded semi-annually.5. What is the equivalent effective rate of interest?6. How

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much must he pay if he pay after 5 years?7. When will the money double ?8. If he pay 10,000 after 1 year and 10,000 on the next year , how much must he pay on the 3rd year to wipe outhis loan?9. Convert the interest rate to compounded quarterly10. Convert the interest rate to

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compounded monthly.11. Convert the interest rate to compounded continuously .12. Find the present worth of a future payment of P100, 000 to be made in 10 years with an interest of 12%compounded quarterly.13. If P5, 000.00 shall accumulate for 10 years at 8% compounded quarterly. Find the compounded

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interest at theend of 10 years.14. 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 itamounts to P50, 000, when will the girl received the money if the fund is invested at 8% compounded quarterly?15. A Mechanical Engineer wishes to accumulate a total of P10, 000 in a savings

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account at the end of 10 years. Ifthe bank pays only 4% compounded quarterly, what should be the initial deposit?Mr X borrowed P 100,000 at en effective interest of 8% in a bank. He will pay the loan monthly for 5 years16. Convert interest to compounded monthly17. What should be the monthly payment?18. If he decides to pay

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on a quarterly basis, convert the interest rate to compounded quarterly.19. What must be the quarterly payment?20. If he decides to pay on a semiannual basis, convert the interest rate to compounded seminannually.21. What should be the semiannual payment?22. Convert the interest rate to compounded

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continuously.Mr Y deposited P 1,000 at the end of every month in an account that earns 12% effective interest.23. What is the monthly interest rate?24. What will be the amount of money after 5 years?25. If Mr Y deposited P 1,000 at the beginning of each year, what will be the amount in 5 years. (There will be only60 deposits )

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 2S -5Mr Z borrowed P 300,000 from a bank. The bank charges 16% effective interest.26. What is the equivalent monthly interest rate?27. What is the monthly amortization if he will pay at the end of each month for 5 years?28. What will be the monthly amortization

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if he delays his payment by 6 months (his 1st payment happened at theend of 6 months ) .29. What is the monthly amortization if he pays at the beginning of each month for 5 years.30. Which is the biggest interest rate?a. 12% compounded quarterlyb. 11.88% compounded

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seminuallyc. 11.99 % compounded monthlyd. 12.02% compounded continuouslyS-6Given the series of payments at the end of each year:Year 1 2000Year 2 5000Year 3 8000and so on until year 20, If i = 12% per annum31. The present worth of all payments. (year 0 )32. The future worth of all payments ( year 20)33.

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The equivalent equal annual worth of all the payments.S – 7Given the first cost of a machine FC = 500,000 Salvage Value is 150,000 Economic Life = 12 years34. USING straight line method , the annual depreciation is35. USING Straight line method, the book value after 5 years is36. USING SOYD, the book value after 3 years

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is37 USING SOYD, the maximum depreciation in any year is38. USING SOYD, the total depreciation after 6 years is39. USING MATHESONS METHOD, the Matheson’s constant is 40. The sunk cost after 3 years using MATHESONS formula is41. The total depreciation after 7 years

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is (MATHESONS FORMULA )42. USING DOUBLE DECLINING BALANCE METHOD , the book value after 3 years is43. USING SINKING FUND METHOD , with i = 8% , the annual depreciation is44. The book value after 6 years is (SINKING FUND METHOD )45. The total depreciation after 5 years is46. The depreciation on the 4th

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 year isS-8Find the present value of a perpetuity of P 15,000 payable semiannually if money is worth 8% compoundedquarterly47. The interest rate every six months is48. The present value of the given perpetuity is 349. A man invest in a medium scale business that cost him P

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57,000.00. The net annual return is estimated at P14,000 for each of the next 8 years. Find the benefit cost ratio if annual interest rate is 8%.50. Compute the benefit cost ratio of the given projectProject Cost P 80,000Gross Income 25,000 per yearOperating Cost P 6,000 per yearSalvage Value 0Life of Project 10 yearsRate of Interest 12%51. 

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If the nominal interest rate is 3%, how much is P 5,000 worth in 10 years in a continuous compounded account?52. P 6,000 is deposited each year into a savings account that pays 6% nominal interest compounded continuously.How much will be the account at the end of 8 years?53. A man borrows P 100,000 at a rate of 6%

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compounded continuously for 5 years. How much money must hepay annually?54. At 6% , find the capitalized cost of a bridge whose cost is 250 M and life is 20 years if the bridge must bepartially rebuilt at a cost of 100 M every 20 years.S-9 A machine cost P 150,000 and will have a scrap value of P 10,000 when retired at the end of 15

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years. If money isworth 4%55. Find the annual investment56. The Capitalized Cost isS-1057. The cost of producing a certain commodity consist of P 45 per unit for labor and material cost and P 15 per unitfor other variable cost. The fixed cost per month is P 450,000. If the commodity is sold at P 250 per unit57. What is the break even quantity ?

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58. What is the profit/loss if the number of items sold is 3000?59. A certain copier machine cost P 150,000 with a trade in value of P 1.50,000 after making 800,000 copies. Usingthe declining balance method, what is the book value of the machine when it had made 300,000 copies?60. What is the present worth of two P

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100.00 payments at the end of the 3rd and the 4th year is interest rate is 8%?61. The nominal rate of interest is 4%. How much is P 10,000 worth in 10 years in a continuously compoundedaccount?62. If P 500,000 is deposited at a rate of 11.25% compounded monthly,

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what will be the amount after 7 years and 9months?63. In year zero, you invest P 10,000 in a 15% security for 5 years. During the time, the average inflation is 6%. Howmuch in terms of year zero pesos will be the account at the maturity?Show me more about this

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