Substitute for any one of the above.--(_a_) Define _commensurable quantities_; _incommensurable quantities_. Give example of each. (_b_) Theorem: In the same circle or equal circles, two angles at the centre have the same ratio as their intercepted arcs (whether commensurable or incommensurable). * * * * * =English Grammar.=--Candidates must have a good knowledge of _English grammar_; they must be able to define the terms used therein; to define the parts of speech; to give inflections, including declension, conjugation, and comparison; to give the corresponding masculine and feminine gender nouns; to give and apply the ordinary rules of syntax. They must be able to parse correctly any ordinary sentence; giving the subject of each verb, the governing of each objective case, the word for which each pronoun stands or to which it refers, the words between which each preposition shows the relation, precisely what each conjunction and each relative pronoun connects, what each adjective and adverb qualifies or limits, the construction of each infinitive, and generally to show a good knowledge of the function of each word in the sentence. They must be able to correct in sentences or extracts any ordinary grammatical errors. It is not required that any particular textbook shall be followed; but the definitions, parsing, and corrections must be in accordance with good usage and common sense. The following questions indicate the character of the examination: 1. (_a_) He comes, the herald of a noisy world. (_b_) Next anger rushed, his eyes on fire. (_c_) Get on your nightgown, lest occasion call us and show us to be watchers. (_d_) Hark! Hark! the lark at heaven’s gate sings. (_e_) Why do you stay so long, my lords of France? (_f_) Go you before to Gloucester with these letters. (_g_) Society has been called the happiness of life. (_h_) The guardsman defended himself bravely. (_i_) They that reverence too much old times are but a scorn to the new. (_j_) I will bring you certain news from Shrewsbury. In the above sentences pick out the following grammatical constructions. (Indicate the number of the sentence and write the word or words which answer the question.) Imperative mood. Abstract noun. Transitive verb. Two relative pronouns. Noun in apposition. Verb in subjunctive mood. Adverb of manner. Relative pronoun. Indirect object. Interjection.