Mathematics, Surveying and Transportation Engineering

MSTE - Mathematics, Surveying and Transportation Engineering
Common name: Math

Algebra, Trigonometry, Statistics, Geometry, Calculus, Differential Equations, Engineering Mechanics, Engineering Economy, Surveying, Transportation Engineering

There are 7 arithmetic means between 3 and 35. What is the sum of all the terms?

A.   133 C.   665
B.   608 D.   171


A boat going upstream takes 1.5 times longer than going the same distance downstream. If the water current in the river is 8 kph, calculate the speed of the boat in still water.

A.   30 kph C.   40 kph
B.   50 kph D.   20 kph


What is the equation of the normal to the curve $x^2 + y^2 = 25$ at (4, 3)?

A.   $4x + 3y = 0$ C.   $3x + 4y = 0$
B.   $3x - 4y = 0$ D.   $4x - 3y = 0$


What is the radius of the circle $x^2 + y^2 - 6x = 0$?

A.   6 C.   4
B.   9 D.   3


When the polynomial $x^4 + bx^3 + 5x^2 + dx + 6$ is divided by $x - 2$ the remainder is 16. When it is divided by $x + 1$ the remainder is 10. Find the value of constant $d$.

A.   7 C.   -5
B.   -7 D.   5


Gas is escaping from a spherical balloon at a constant rate of 2 ft3/min. How fast, in ft2/min, is the outer surface area of the balloon shrinking when the radius is 12 ft?

A.   1/2 C.   1/3
B.   1/5 D.   1/4


Determine the percentage uncertainty in the area of a square that is 6.08 ± 0.01 m on a side.

A.   0.27% C.   0.26%
B.   0.25% D.   0.29%


In still water, your small boat averages 8 miles per hour. It takes you the same amount of time to travel 15 miles downstream, with the current, as 9 miles upstream, against the current. What is the rate of water's current?

A.   4 miles/hr C.   2 miles/hr
B.   3 miles/hr D.   5 miles/hr


\$180,000 was spent on the project that yields annual benefit of \$60,000 for a period of 8 years without any salvage value. Determine the benefit-to-cost ratio considering the cost of money to be 7%.

A.   1.99 C.   1.57
B.   2.21 D.   2.63


Which of the following pizzas is a better buy: a large pizza with 16-inch diameter for \$15 or a medium pizza with an 8-inch diameter for \$7.50? What is the cost per square inch of the better pizza?

A.   medium pizza: \$0.07/in.2 C.   medium pizza: \$0.15/in.2
B.   large pizza: \$0.07/in.2 D.   large pizza: \$0.15/in.2



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