問題一覧
1
An equipment may be bought for a sequence of quarterly payments of 7500 for 3 ½ years. What is the cash price of the equipment if money is worth 6% compounded monthly?
94,024.84
2
A debt of 10,000 is due in 4 years without interest is to be discharged. If 4 equal payments deposits, the first due in one year, are made into a fund earning 5%, what is the amount in the fund just after the 2nd deposit?
4,756.27
3
What is the present of perpetuity due of 2,000 payable at the beginning of each quarter if money is worth 10% compounded quarterly?
82,000
4
What is the purchase price for a 30,000 bond due in 10 years with periodic rate 5%, compounded semiannually, to yield the purchase 6% compounded semiannually?
38,926.48
5
Which of the following is the monthly payment at the end of each month of a simple perpetuity on 400,000 if money is worth 15% compounded monthly?
5,000
6
Which of the following is the present value of 10,000 paid at the beginning of each quarter for 1 year at 12% compounded quarterly?
38,286.11
7
The television set is being sold for 20,000 and can be bought on quarterly installment payments for one year. What is the quarterly installment if the interest rate is 10% compounded quarterly?
5,186.72
8
A man buys a house and lot worth 1,500,000 to be repaid on monthly installment for 15 years. What is the monthly payment if money is worth 15% compounded monthly?
20,993.81
9
A deposit of 2,850 is made at the end of every month in an investment paying interest at 10% converted quarterly. How much will there be in the investment at the end of 5 years?
220,216.92
10
Angel plans to accumulate 100,000 for her college education by depositing 4,500 every beginning of a quarter. If money is worth 12% compounded quarterly how long will it take to accumulate the amount?
4.22 years
11
How much must be set aside every end of 6 months to have a fan of 670,000 at the end of 6 years, interest being at the rate of 7% effective?
46,039.53
12
A circular piece of cardboard with a diameter of 1 m will be made into a conical hat 40 cm high by cutting a sector of and joining the edges to form a cone. Determine the angle subtended by the sector removed.
144°
13
What is the area in square meter of the zone of a spherical segment having a volume of 1,470.265 cubic meter if the diameter of the sphere is 30 m?
565.5 m²
14
In a portion of an electrical railway cutting, the areas of cross section taken every 50 m are 2,556, 2619 2,700 2,610 in 2,484 m². Find its volume.
522,600 cubic meter
15
A frustum of a pyramid has an upper base 100 m by 10 m and a lower base of 80 m by 8 m. If the altitude of the frustum is 5 m find its volume.
4,066.67 cubic meter
16
A regular hexagonal pyramid whose base perimeter is 60 cm has an altitude of 30 cm, the volume of the pyramid is
2,598 cubic centimeter
17
Pqr is a triangle and s is a point on the side qr, such that ps the angle bisector of angle qpr. If PQ:PR = 2:3, and area of triangle psr is 108 square centimeter, then what is the area of triangle pqr?
180 square centimeter
18
If the diagonals of the rhombus is 48 cm and z centimeter and the area of the rhombus is 336 cm² then, find the perimeter of rhombus.
100 cm
19
The width of the path around a square field is 4.5 m and its area is 105.75 square meter. Find the cause of fencing the field at the rate of 100 per meter.
550
20
The perimeter of a rhombus is 148 cm and one of its diagonal is 24 cm. The area of rhombus is
840
21
What is the total surface area of a cylinder with a radius of 7 m and the height of 8 m?
659.4 m²
22
A right circular cone has a radius of 7 cm and a height of 24 cm. Find the area of the sheet required to make seven such cones.
3,846.5 cm²
23
What is the formula for finding the volume of a right circular cone?
1/3 pi r squared h
24
What is the total surface area of an iron sphere having a radius of 11 cm?
1,519.76 cm²
25
The lateral surface area of a right circular cone is 2020 cm² and its radius is 10 cm what is the slant height.
64.33 cm
26
Find the volume of the right prism with an area of base 121 m² and a height of 23 m.
2,783 cubic meter
27
Find the total surface area of a square shaped box having a length of 2 m for its side.
24 m²