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Mathematics Exam Questions - College Level

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Past Board SEPT. 2021 :MATHEMATICS OBJECTIVES
1. A periodic function has zero average value over a cycle and its Fourier series consists of only odd
cosine terms. What is the symmetry possessed by this function.
A. even quarter-wave
B. odd quarter-wave
C. odd
D. even
2. The line passing through the focus and perpendicular to the directrix a parabola is called
A. latus rectum
B. secant line
C. axis
D. tangent line
3. What is the conic section where eccentricity is less than 1?
A. circle
B. parabola
C. ellipse
D. line
4. When two lines are parallel, the slope of one is
A. the negative of the other
B. equal to the other
C. the negative reciprocal of the other
D. the reciprocal of the other
5. What conic section is described by the equation 4x» -y^2 + 8x + 4y = 15?
A. ellipse
C. parabola
B. hyperbola
D. circle
6. If the coefficient ao of a Fourier series of a periodic function is zero, it means that the function has
A. Odd-quarter wave symmetry
B. Even-quarter wave symmetry
C. Odd symmetry
D. Odd symmetry or even-quarter wave symmetry or odd-quarter wave symmetry
7. The sum of the distances from the two foci to any point in what curve is constant?
A. hyperbola
B. any conic
C. parabola
D. ellipse
8. The equation x^2 + Bx + y^2 + Cy + D = 0 is:
A. hyperbola circle
B. ellipse
C. Circle
D. parabola
9. A normal to a given plane is
A. perpendicular to the plane
B. parallel to the plane
C. lying in the plane
D. oblique to the plane
1.A
2.A
3.C
4.B
5.B
7.D
8.C
9.4
Sept 2019
1. In
ABC sin (A+B) = 3/5 , sin C ?
a. 2/5 b. 2/3 c. 3/5 d. 1/2
2. Joy is 10% taller than Joseph and Joseph 10% taller than Tom. How many percent is Joy than Tom?
a. 18% b. 21% c. 19% d. 20%
EE 2019
Which of the following is not a factor in calculating the feeder conductor size?
A. Ambient temperature
B. Voltage drop
C. Branch circuit protection
D. Demand Factors
EE 2019
The average dry cell battery gives an approximate voltage of ___.
a. 1.5
b. 1.2
c. 1.7
d. 2.0
EE-April 2019
A three phase motor draws 50A current supplied by copper conductors. What is the minimum inverse
time delay circuit breaker rating?
A) 50
B) 100
C) 75
D) 125
Ree april 2019
lim (cos3x-1)/x^2 as x approaches ---> 0
EE 2019
Determining a positive wire on a single-phase circuit is ____.
A.
B.
C.
D.
Possible with wattmeter
Possible with voltmeter
Possible with ammeter
An impossibility
Math April 2019
A boat make 25 mph in still water. Find its speed when it is headed N45°E in a 7.5 mph current flowing
east.
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