10. A and B together can perform a certain piece of work in 8 days; A and C together can do it in 9 days; B and C together can do it in 10 days. How many days will each of them require to perform the same work alone?

11. How long will it take to do the work if A, B and C all work together?

12. The diameter of a circle is 11 feet 7 inches.

of the circumference?

What is the length

What is the area of the circle?

G.

ASSISTANT ENGINEERS.

The work of computations must be shown.

In case you do not remember the formula you desire to use in solving any problem, name the authority or work you would use in each case and state the method of solving the problem.

Books of tables are furnished by the board for the use of candidates. No other books are to be used.

1. A girder of uniform section 30 feet long and weighing 600 pounds is supported at both ends, and sustains a weight of 500 pounds placed 7 feet from one end. What is the weight on each support?

2. Why is a joist 12" x 4" stronger when placed with the greatest dimensions vertical than when the smaller dimension is vertical, and what is the ratio of its strength in the two positions.

3. Make a strain sheet for a simple truss 50 feet long and 10 feet high, having 5 panels, assuming a uniform dead load of 500 pounds per lineal foot and uniform moving load of 1000 pounds per lineal foot.

4. Compute the moment of inertia of a rectangular beam 15 inches high and 5 inches thick.

H.

ASSISTANT ENGINEERS.

The work of computations must be shown.

In case you do not remember the formula you desire to use in solving any problem, name the authority or work you would use in each case and state the method of solving the problem.

Books of tables are furnished by the board for the use of candidates. No other books are to be used.

1. Express graphically the total pressure exerted by a body of water upon a vertical surface of the width a and height h; also the

intensity of the pressure at the point x at a distance h1 from the surface of the water.

2. Suppose an aqueduct of a canal seven feet deep to consist of a timber trunk having a clear span between abutments of twenty-six feet, having its floor supported by rectangular wooden beams eight inches broad and placed one foot apart, center to center. What should the depth of these beams be if the maximum stress allowable in the timber is 1,000 pounds per square inch and neglecting the weight of the floor?

3. Suppose the side of this aqueduct to be supported at the top by a plate or beam twelve inches deep, with its upper surface at the surface of the water. What must its breadth be to resist the water pressure, assuming the same allowable stress as before?

4. Suppose the side pressure in this aqueduct to be transferred to the above described plate, and to the bottom sill by vertical wooden posts three feet apart, center to center, and six inches wide on the face. What should be their width in the direction of the pressure, assuming the same allowable stress?

5. What should be the breadth of the bottom sill, supposing its depth fourteen inches and that it rests on the aqueduct bottom?

6. Suppose for the purpose of controlling the elevation of water in the level containing this aqueduct it is desirable to discharge through a gate in its side 100 cubic feet of water per second, and that the gate opening is three feet wide and has its lower edge fourteen inches above the aqueduct floor. What should be the depth of the opening to give the desired discharge?

EXAMPLE No. 5.

COMPETITIVE EXAMINATION FOR KEEPERS AND GUARDS IN THE STATE PRISONS, AND GUARDS AT THE ELMIRA REFORMATORY.

The exercise in dictation is the same as for clerkships of first and second grade, and handwriting and spelling are judged from this paper.

ARITHMETIC.

1. On January 1, 1888, 1111 prisoners were confined in Auburn, 760 at Clinton and 1425 at Sing Sing. How many in all?

2. In 1887 the total expenditures for the prisons of the State were $163,476.55; the total earnings were $132,059.82. What was the net cost of maintenance to the State?

3. What will it cost the State to employ 25 guards for one year at month?

$65 per

4. Fifty-two convicts employed under contract earned at Auburn. prison in one month $825.30. What was the average amount earned by each?

3. Report the number of..

CORRECT RESULTS:

WRITE ANSWER HERE.

EXAMPLE No. 6.

SPECIAL EXAMINATION.

ELECTRICAL EXPERT.

Board of Electrical Control, New York City.

What is your number in this examination?

State the experience and training you have had that led you to believe you are qualified for the position of electrical expert.

1. (a) What is induction?

(b) What would be the effect of an electric light circuit in action upon an all wire telephone circuit in which the advance and return wires were insulated from each other and twisted together?

2. Suppose you face the north pole of a permanent magnet and that you carry a conductor past this pole from a point above to a point below, in which direction will the current generated flow, and why?

3. How would you protect a mariner's compass from the effects of surrounding magnetic bodies?

4. (a) How does the passage of a current of electricity affect the resistance of a conductor made of platinum? How does it affect the resistance of a conductor made of carbon?

(b) State how this difference of effect is utilized in electric lighting.

5. Suppose we have three circuits, having a battery located in a common earth at a given point, and that the resistance of these circuits is 1000, 2000 and 3000 ohms respectively, what proportion of the current will pass through each circuit, supposing them earthed at distant stations?

6. Suppose we have a battery giving 100 volts electromotive force in a circuit of 500 ohms resistance, the internal resistance of the battery being neglected, what will be the current in amperes on the line?

7. Define the mechanical construction of a Le Clanche battery. 8. (a) Define the difference between the incandescent and arc light, and state why arc light circuits are the more dangerous?

(b) Describe a fusible cut out, and state its functions.

(c) Approximately what quantity of current is required in the well known forms of incandescent lights now in general use, and also in well known forms of arc lights?

9. (a) How would you arrange electric light conductors entering houses in order to secure the greatest safety to life and property?

(b) How would you arrange telegraph, telephone and electric light wires on the same poles so as to get the best results, both as to efficiency and safety.

10. (a) Describe some well known form of ampere meter.

(b) Describe some well known form of volt meter.

(c) What is a watt, and how many watts equal an electrical horse

power?

EXAMPLE No. 7.

SPECIAL EXAMINATION.

INSPECTOR OF UNDERGROUND CONSTRUCTION.

Board of Electrical Control, New York City.

What is your number in this examination?

What experience have you had that leads you to believe that you would be competent to fill the position of inspector of underground construction?

1. Explain the difference between Portland cement and other cements.

2. What proportion of sand would you add to each or either in order to make good hydraulic mortar?

3. Describe good sand for mason work.

4. How do you test the quality of the kinds of cement named?

5. Describe how you tell if cement has been damaged.

6. What are the proportions and the ingredients of concrete for foundations?

7. Explain the kind of brick you would condemn and the kind of brick you would allow to be used on the work, and give reasons for

same.

8. How should concrete be laid in a trench for foundations?