11. A traveller passing through a certain place, travels at the rate of 13 miles in 2 hours; 12 hours afterwards another passes through the same place, travelling the same road at the rate of 26 miles in 3 hours. How long and how far must he travel, before he overtakes the first ?

Tuesday, April 4th-Afternoon Paper.

GEOMETRY.

1. The rectangle contained by two lines is a mean proportional between their squares.

2. In any triangle, right angled at A, if CD be drawn bisecting the angle C, show that AB : AC :: BC - AC: AD.

3.

Similar triangles are to one another in the duplicate ratio of their homologous sides.

4. Planes to which the same straight line is perpendicular, are parallel to one another.

5. If two straight lines be cut by parallel planes, they shall be cut in the same ratio.

6. If a straight line be at right angles to a plane, every plane which passes through that line is at right angles to the first mentioned plane.

Geography.

Wednesday, April 5th-Morning Paper.

1. What simple facts satisfactorily prove that the earth is of a spherical form, and not, as was once supposed, a vast plane?

2. Explain the terms Promontory, Table-land, Coast, Desert, Oasis, Volcano, Archipelago, Estuary, Haven, Roadstead and Cataract; and give an example of each.

3. Mention the principal Seas and Peninsulas in both Continents, specifying their situations.

4. Give, by a sketch, a comparative view of the principal mountains in the world, two from each quarter; and state, as exactly as you can, the number of feet they are elevated above the level of the sea.

5. What rank does Europe hold among the grand divisions of the globe, in point of magnitude and population? In what particulars is it infinitely superior to them all? Name the countries it contains, with their respective situations.

6. Describe the government, religion and principal manufactures of England; enumerate her foreign possessions, and mention the circumstances to which her commercial prosperity is attributable.

7.

What is the Germanic Confederation?

8. Why are Greece, Palestine and Egypt, objects of interest to the enlightened traveller?

Wednesday, April 5th-Afternoon Paper.

1. What is the most striking physical feature of Africa, by what different races is it inhabited, and what localities do they occupy?

2 Draw a map of Hindustan, laying down in it the principal mountains and rivers, and marking the positions of Calcutta,

Pondicherry, Calicut, Goa, Attock, Lahore and Darjeeling. Give a brief account of these places and also mention the chief productions of Hindustan, the amount of its population, and the nature of its government.

3. For what is China remarkable? What is there peculiar in the government of Japan, and is there any other country in which the same peculiarity exists?

4. Describe the boundaries, and government of the United States of North America, mentioning the number of States, of which the Union is at present composed, and the amount and description of its population.

What and where are the Maelstrom, Land's-end, Brighton, Bordeaux, Gibraltar, St. Helena, Surat, Hong-kong, California and Niagara ?

6. Of what parts of the globe are the Rein-deer, Giraffe, Camel, Kangaroo and Llama, natives? In what countries are cotton, indigo, coffee, tea, mahogany and teak produced? and where are coal, iron, tin, copper, gold and diamonds chiefly found? 7. Describe the national characteristics of the English, French, Arabs, Bengalese and Chinese.

8. State concisely what causes the alternation of day and night, and give the rule for finding, by the artificial globe, the hour at any place from the hour given at any other place.

LIBRARY MEDAL EXAMINATION,

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Hindu College.

1. What was the extent of the Roman Empire at the time of the establishment of the Monarchy? State what you know respecting the character and morals of the people at the same period.

2. Give a narrative of the chief events which attended the constitution of the Monarchy, and sum up as briefly as possible the characters of the leading actors in these events.

3. What changes in the constitution and administration of government were made by Augustus ?

4. Give a short account of the career, and final fate of Germanicus.

5. What important changes in the law were wrought by Tiberius, and Caligula respectively?

6. State from a brief consideration of the leading events of his reign, what you conceive to have been the natural character of Claudius: and give the names of those who seem to have exercised the greatest influence over him.

7. Describe the moral condition of Rome under the later

Emperors.

8. Give an account of the commerce of the Romans.

9. State the causes of the corruption of the Latin language. When did Roman Literature reach its highest perfection?

10. For what purpose was Eloquence cultivated under the Emperors? Name the later Historians of Eminence.

11. What was the State of the Arts under-1st-Augustus, 2nd-Nero, 3rd-Vespasian, 4th-Hadrian.

J2. Sketch the Progress of Christianity.

Hooghly College.

1. Had the Art of Printing any existence in ancient times or is it entirely a modern invention? Do any doubts hang over the origin of modern Printing? Is it known exactly who was the inventor and where the Art was first cultivated?

2. In what country was the modern Art of Printing first practised? To what other countries did it ere long extend? Who introduced the Art into England, and in what year did this take place?

3. Mention some of the books which were first printed. Had the Art an immediate effect on the progress of learning or was this effect produced only slowly?

4. Can we trace back the Art of Navigation to its origin? Among what nations did it flourish most in ancient times? What information can you give in regard to the progress of Navigation and Commerce among the Nations of Modern Europe?

5. Describe the Mariner's Compass. Mention particularly the manner in which, and extent to which, this invention has given an impulse to commerce.

6. Give a short account of the experiments made by Watt which led to the construction of his single acting Engine. Wherein was it superior to former inventions? Why are the purposes, to which this engine may be applied, limited ?

7. Describe the operation of Watt's Double Acting Engine and the various contrivances for connecting the piston with the beam. What is the use of the Fly-wheel and Governor ?

8. Give a short account of the various ingenious contrivances in Railway engines to overcome the supposed defect of adhesion of the face of the wheel and road, to ensure motion.

9. Give a short history of the rise and progress of the electric telegraph. In the construction of a line what are the essentials to be attended to ?