From 1234 5 from 4 we cannot; but if we borrow 1 out 10 units, we shall now have 14 units in the 889 upper line; we can now say 5 from 14, 9, i.e. 9 units, and we set down 9 as the units-figure of the result. We have now to take 4 tens from 2 tens (3 tens1 ten), and so on. Division is the method finding how often one number is contained in another, i.e. how often one number must be taken to make up another. Hence Division bears the same reference to Subtraction as Multiplication bears to Addition; for we might go on subtracting the divisor from the dividend, and then from the 1st remainder, then from the 2nd remainder, and so on, until the final remainder is either zero, or is less than the divisor itself; and if we counted the number of times we had subtracted it, this would be the result required, or, as is called, the quotient. But the multiplication-table will enable us much more easily to divide one number by another; thus, since 7 times 9 is 63, if we divide 63 by 7 we shall have the quotient 9, or if by 9, the quotient 7. (Vide Colenso.) 15238 144 60.= £t 7. In a given year the Income-tax was 6d. in the pound and yielded £6,184,166: what was the amount of income taxed ? 8. Reason out a test for determining by a method short of actual division, whether a number be divisible by 11 without a remainder. Ecample :-392381= 300000 90000+2000+300+80+1= 3X100000+9X10000+2x 1000+3x100 +8 x 10+1= [+1= 3(100001—1)+9(9999+1)+2(1001–1)+3(99+1)+8(11-1) 300003—3+89991+9+2002–2+297 +3+88–8+1 -3+9–2+3–8+i. Therefore 392381 is divisible by 11 and does not leave a remainder. As like concrete numbers can only be divided by one another: therefore £5 + 8s. 124, hence 88. is contained 123 times in £5; 9. There are three quantities : (a) £5, (b) 8s., (c) 75 gallons. Multiply one of them by the quotient of the other two. State accurately the result of the operations, and perform it in as many ways as possible. mos morum VI. Elementary Knowledge of Latin. 1. Write down the Genitive Plural. genitive plural of genu genuum the following bos boûm (for bovum) domus domorum nouns – Genu,bos, clades cladium domus, clades, mos, senex, dux, Benex cinis, civis, vis, dux ducum cinis cinerum vir, ver, iter, silex, civis civium palus, 08, jecur, vis virium canis. vir virorum ver (the spring) has no plural iter itinerum silex silicum pālus (mas.) palorum pålus (fem.) paludum ossium jecur OS jecorum canis canum 4. What verbs govern two accusative cases ? Construct sentences to illustrate their use. 66 Verbs of asking, teaching, entreating and warning may have two accusatives, one of the person, and another of the thing: as “ Racilius me primum sententiam rogavit," Quis musicam docuit Epaminondam ?" “ Pacem te poscimus omnes." Te facimus Fortunā deam. 5. What cases do the following prepositions govern: Palam, Supra, Coram, Sine, Subter, Versus, Clam, Pone, Tenus? Accusative. Ablative. pone coram supra palam sine The ablative case is used to express- “ Oderunt peccare boni virtuti amore.” Coptis immanibus effera Dido.” “Metu supplicii aut mortis multi vim tormentorum pertu lerunt.' Instrument : “ Hi jaculis illi certant defendere saxis." “ Dente lupas petit.” “Injuria fit duobus modis aut vi aut fraude." “More Carneadeo disputare.” "Tullus Hostilius fuit Romulo ferocior." Quantity: “ Tarres denis pedibus quam muri, altiores sunt.” Condition : “ Pace tua cum Thaide colloquar." “ Homo mea sententia prudentissimus est.” Quality : Qua facie fuit, cui dedisti symbolum?” “ Cæsar traditur fuisse excelsa statura, colore candido, nigris oculis, valetudine prospera.” Respect : Angor animo.” “Ennius ingenio maximus, arte rndis." Price: “ Viginti talentis unam orationem Isocrates vendidit." Time: “ Homerus annis multis fuit ante Romulum." Place: “Ibam forte Via Sacra.” (1) There is no sorrow which length of time may not lessen or soothe. (2) Every one must use his own judgment. (4) Demosthenes was presented with a golden crown on account of his valour. (5) It is foreign to a great man not to be able to do what he has bid another. 7. Translate the following sentences :-(1) Nullus dolor est, quem non longinquitas temporis minuat ac molliat; (2) Suo cuique judicio est utendum; (3) Nemo mortalium omnibus ho. ris sapit ; (4) Demosthenes coronâ aureâ donatus est virtutis ergo; (5) Alienum est magno viro quod alteri præceperit id ipsum facere non posse. VII. Latin Translations. Candidates were required to translate three of the four following pieces selected from Virgil's Æneid, Book I.:(1) From "Urbs antiqua fuit; Tyrii tenuere coloni; line 12; to Tantæ molis erat Romanam condere gentem;" 33. (2) From “ Æneas scopulum intereà conscendit, et omnem; 180; to Durate, et vosmet rebus servate secundis;" 207. (3) From "At pius Æneas, per noctem plurima volvens; 305; to Aut spumantis apri cursum clamore prementem;" 324. (4) From "At Cytherea novas artes, nova pectore versat; 657; to Ne quà scire dolos, mediusve occurrere possit;" 682. Passages were also selected from Livy, Book I. VIII. French Language. Cette demoiselle a des yeux bleus. Cette chaumière a des cils de bæuf. Cet artiste fait bien les ciels. Coite, trompeuse, inférieure, protectrice, tierce, vengeresse, lasse, hébreu (but hébraïque if we speak of the language), traîtresse, 1. In which cases is les æils instead of les yeux and les ciels instead of les cieux to be employed? Explain it only by giving an example of each. 2. Give the feminine of the following adjectives :Coi, trompeur, inférieur, protecteur, tiers, vengeur, las, hébreu, traître. 3. Give the comparative and superlative of bon, mauvais, petit, mal, bien, peu. 4. Give the meaning of these phrases:- Un bon homme and homme bon; un galant homme and un homme galant. 5. Give the first person preterperfect of moudre, naître, resoudre, tenir, vivre, vaincre, luire, cuire. 6. Give the English corresponding expressions of (1) A la guerre comme à la guerre. (2) Un tiens vaut mieux que deux tu l'auras. (3) Veuillez m'accorder un tête-à-tête. (4) Il fut pris en flagrant délit. (5) Il a beau dire; je n'en passerai jamais par là. Positive. Comparative. Superlative. bon meilleur le meilleur mauvais pire or plus mauvais le pire or le plus mauvais petit moindre or plus petit le moindre or le plus petit mal pis or plus mal le pis or le plus mal bien mieux le mieux le moins un Je monlus, je naquis, je resolus, je tins, je veças, je vainquis (luire has no preterperfect), je cuisis. (1) One must suit one's self to the times. (2) A bird in the band is worth two in the bush. (3) Allow me to have a private conversation, (4) He was caught in the act. (6) He speaks in vain; I shall never submit. |