ARC Coaching Flashcards
Which of the following is not a chemical-related health hazard?
A. Carcinogenicity
B. Reactivity
C. Corrosivity
D. Toxicity
B. Reactivity
Which of the following color is used for radiation hazard?
A. Red
B. Orange
C. Green
D. Purple
D. Purple
The reason for considering safety include
A. Humanitarian concern
B. Economic reasons
C. Laws and Regulations
D. All the above
D. All the above
Which of this best describes “the likelihood of an incident occurring”?
A. Risk
B. Hazard
C. An event
D. An episode
A. Risk
Which of these is the first step to take when conducting a risk assessment?
A. Evaluate the risk
B. Identify the hazards
C. Review your findings
D. Update risk assessments
B. Identify the hazards
Which of these is NOT a probable physical hazardous characteristic of a chemical?
A. Flammable
B. Acute
C. Corrosive
D. Reactive
B. Acute
Which of the following words is used to correspond with the most toxic material?
A. Hazard
B. Caution
C. Warning
D. Danger
D. Danger
When a chemical splashes in the eye
rinse for
A. 10 seconds
B. 5 minutes
C. 30 seconds
D. 15 minutes
D. 15 minutes
Radiation that causes redness and sores on the skin is
A. gamma only
B. beta only
C. alpha
D. gamma and beta
D. gamma and beta
note:
* gamma only: lead
* beta only : aluminum
* alpha: sheet of paper
The three forms of ionizing radiation are:
A. Microwave, alpha, beta
B. Visible light, x-ray, gamma
C. Gamma, alpha, beta
D. X-ray, laser, microwave
C. Gamma, alpha, beta
Gamma radiation can be shielded with:
A. Paper
B. Your skin
C. Aluminum
D. Lead
D. Lead
Safety management deals with:
A. Loss of life
B. Personal injury
C. Damage to the equipment
D. Prevention of an accident
D. Prevention of an accident
Industrial hazards come under the category of:
A. Natural hazards
B. Human induced hazards
C. Meteorological hazard
D. Wild fire hazard
B. Human induced hazards
A ladder 20 ft long leans against a vertical wall. If the top slides downward at the rate of 2 ft/sec, find how fast the lower end is moving when it is 16 ft from the wall. Find the rate of change of the slope of the ladder.
A. 25/128 per sec
B. -25/128 per sec
C. 128/25 per sec
D. -128/25 per sec
B. -25/128 per sec
A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the end of his shadow move?
A. 3 mph
B. 5 mph
C. 6 mph
D. 8 mph
D. 8 mph
A man 6 ft tall walks away from a lamp post 16 ft high at the rate of 5 miles per hour. How fast does the shadow lengthens?
A. 3 mph
B. 5 mph
C. 6 mph
D. 8 mph
A. 3 mph
Which of the following is not a type of discontinuity?
A. Finite
B. Removable
C. Infinite
D. Jump
A. Finite
note:
* removable: (point discontinuity)
* infinite: (essential)
Find the derivative of cotx with respect to cosx.
A. -sec² x/cosx
B. sec² x/cosx
C. -csc² x/sinx
D. csc² x/sinx
D. csc² x/sinx
Determine the 3rd (4th) term of the Taylor series expansion of Inx centered at x = 2.
А. -(x-2)^3/24
В. (x- 2)^3/6
С. (x-2)^3/24
D. -(x- 2)^3/6
С. (x-2)^3/24
Determine the 3rd term of the Maclaurin series expansion of sinx.
А. x^7/5040
В. x^5/120
С. x^4/24
D. -x^5/120
В. x^5/120
Which of the following is the second term of the standard Maclaurin series expansion of the function cosh(4x)?
A. 8x^2
В. -27x^3
С. (32x^3)/3
D. 9x^2
A. 8x^2
Denote ∂ be the partial derivative of a function u. Given the linear second-order partial differential equation
Where A, B, C, D, E and F are real constants. If B^2
- 4AC = 0, the above equation is
A. Asymptotic
B. Parabolic
C. Hyperbolic
D. Elliptic
B. Parabolic
Denote ∂ be the partial derivative of a function u. Given the linear second-order partial differential equation
Where A, B, C, D, E and F are real constants. If B^2
- 4AC < 0, the above equation is
A. Asymptotic
B. Parabolic
C. Hyperbolic
D. Elliptic
D. Elliptic
Denote ∂ be the partial derivative of a function u. Given the linear second-order partial differential equation
Where A, B, C, D, E and F are real constants. If B^2- 4AC > 0, the above equation is
A. Asymptotic
B. Parabolic
C. Hyperbolic
D. Elliptic
C. Hyperbolic
Which of the following differential equations is considered as Chebyshev’s equation?
A. (1-x²)y”-2xy’+ n(n+1)y=0
B. xy” + (c -x)y’ - ay = 0
C. y” - 2xy’ + 2ny = 0
D. (1-x²)y”- xy’ + n²y =0
D. (1-x²)y”- xy’ + n²y =0
Which of the following differential equations is considered as Hermite’s equation?
A. (1-x²)y”-2xy’+ n(n+1)y=0
B. xy” + (c -x)y’ - ay = 0
C. y” - 2xy’ + 2ny = 0
D. (1-x²)y”- xy’ + n²y =0
C. y” - 2xy’ + 2ny = 0
Which of the following differential equations is considered as Laguerre’s equation?
A. (1-x²)y”-2xy’+ n(n+1)y=0
B. xy” + (c -x)y’ - ay = 0
C. y” - 2xy’ + 2ny = 0
D. (1-x²)y”- xy’ + n²y =0
B. xy” + (c -x)y’ - ay = 0
Which of the following differential equations is considered as Legendre’s equation?
A. (1-x²)y”-2xy’+ n(n+1)y=0
B. xy” + (c -x)y’ - ay = 0
C. y” - 2xy’ + 2ny = 0
D. (1-x²)y”- xy’ + n²y =0
A. (1-x²)y”-2xy’+ n(n+1)y=0
Your company estimates it will have to replace a piece of equipment at a cost of P800,000 in 5 years. To do this a sinking fund is established by making equal monthly payments into an account paying 6.6% compounded monthly. How much should each payment be?
A. P11,290.42
B. P12,562.42
C. P14,987.42
D. P15,690.42
A. P11,290.42
Betty deposits P2000 annually into a Roth IRA that earns 6.85% compounded annually. Due to a change in employment, these deposits stop after 10 years, but the account continues to earn interest until Betty retires 25 years after the last deposit is made. How much is in the account when Betty retires?
A. P133,824.20
В. P143,785.10
С. P150,287.30
D. 161,724.40
В. P143,785.10
Mr. Khaild will receive P8,500 a year for the next 15 years from her trust. If a 7 percent interest rate is applied, what is the current value of the future payments if first receipt occurs today?
А. Р56,243.88
B. P65,743.29
С. P70,707.14
D. P82,836.48
D. P82,836.48
Calculate the area enclosed by the curve x» + y» -10x + 4y - 196 = 0.
A. 15Ð
B. 13Ð
C. 169Ð
D. 225Ð
D. 225Ð
A box contains 5 defective and 195 non-defective cell phones. A quality control engineer selects 2 cell phones at random without replacement. What is the probability that exactly 1 is defective?
A. 0.0190
B. 0.0490
C. 0.0390
D. 0.0290
B. 0.0490
What is the centroid of a quarter circle along the first quadrant?
A. (0, 0)
B. (0.5, 0.5)
C. (0.42, 0.42)
D. (0.51, 0.51)
C. (0.42, 0.42)
What is the perimeter of the curve r = 4(1 + sinÕ).
A. 28
B. 30
C. 32
D. 34
C. 32
Find the distance between foci
of the conic 8x» + 9y» = 288.
A. 3
B. 6
C. 4
D. 2
C. 4
Determine the equation of an open
upward parabola with (2, 1) and (–4,
1) as ends of latus rectum.
A. x» + 2x - 6y - 2 = 0
B. x» + 2x + 6y - 14 = 0
C. x» + 6x - 2y - 14 = 0
D. x» - 6x + 2y + 6 = 0
A. x» + 2x - 6y - 2 = 0
Find the point in the parabola y» = 4x at which the rate of change of the ordinate and abscissa are equal.
A. (1, -2)
B. (2, 1)
C. (-2, 1)
D. (1, 2)
D. (1, 2)
Mar wants to make a box with no lid from a rectangular sheet of cardboard that is 18 inches by 24 inches. The box is to be made by cutting a square of side x from each corner of the sheet and folding up the sides. Find the value of x that maximizes the volume of the box.
A. 4.3in
B. 5.2in
C. 10.6in
D. 3.4in
D. 3.4in
If a chord is selected at random on a fixed circle what is the probability that its length exceeds the radius of the circle? Assume that the distance of the chord from the center of the circle is uniformly distributed.
A. 0.5
B. 0.667
C. 0.75
D. 0.866
D. 0.866