MISCELLANEOUS QUESTIONS. 1. THE Northern Lights v ny years since ? f first observed in London 1560; how ma Ans. 2050. 2. What number multiplicy 43 produces 88150 ? 3. If a cannon may be discharged twice with 6lb. of powder, how many times will 7C. 3qrs. 17lbs. discharge the same piece? 4. Reduce 14 guineas and £75 13s. 6d. to Federal Ans. 295 times. Money. Ans. $317,593. 5. What is the interest of $79,47 one year and five months? Ans. $6,754. 6. A owed B $317,19, for which he gave his note on interest, bearing date July 12th, 1797. On the back of the note are these several endorsements, viz. Oct. 17th, 1797, Received in cash $61,10, March 20th, 1798, Received 17Cwi. beef, at $4,33 per cwt. Jan. 1st. 1800, Received in cash, $84. What was there due from A to B of principal and interest, Sept. 18th, 801 ? Ans. $144,363. 7. What cost 13 yards of flannel at 1s. 84d. per yard? Ans. £1 3s. Ofd. 8. What must I give for 3Ct. 2qrs. 13lb. of cheese at 7 cts. per lb. ? Ans. $28,35. 9. What will 35 yards of broadcloth cost at 23s. 6d. per yard? Ans. £41 2s. 6d. 10. What will be the cost of a loin of veal, weighing 163lb. at 24d. per lb. ? Ans. 3s. 53d. 11. What will 874lb. of tallow cost at 91d. per lb. ? Ans. £3 7s. 3d. 12. What will 196 yards of tape cost at 3 farthings per yard? Ans. 12s. 3d 13. What will 56 bushels of ot cost at 2s. 34d. per bushel? Ans. £6 8s. 4d. 14. At £3 7s. 6d. per cwt. for sugar, what is that per lb. ? 15. How much in length of a board that is 10 inches wide will it require to make a square foot ? Ans. 14 feet. 16. How many square feet in a board 1 foot 3 inches wide, and 14 feet S inches long? 17. How much wood in a load 9 feet ong, 34 wide, and 2 feet 9 inches high? Ans. 18f. 5' 3" Ans. 86f. 7′ 6′′ Ans. $95,76. 18. At $1,33 per yard for cloth, what must I give for 72 yards? 19. If 24 cwt. of cotton wool cost £11 17s. 6d. what is that per Ib? Ans. 114d. 20. If 1832 gallons of wine cost £44 6s. what is that per gallon? Ans. 534. 21. What will 534lb. of beef cost at 5cts. 5m. per lb. ? Ans. $2,942. 22. What will 50 bushels of potatoes cost at 21 cents per bushel? Ans. $10,50. Ans. $0,096. cents per day, Ans. $61,49. at 33 cents per Ans. $6,27. 23. At $10,76 per cwt. for sugar, what is that per lb. ? 24. What will be a man's wages for 6 months, at 43 working 5 days per week? 25. What must I give for pasturing my horse 19 weeks, week? Ans. 1925. 26. How many revolutions does the moon perform in 144 years, 2 days 10 hours. One revolution being in 27 days, 7h. 43m. 27. What will 7 pieces of cloth containi 15s. 41d. per yard? 28. A man spends 23 dolls. 69 cents, 5 day? 27 yards each, come to at Ans. £145 5s. 101d. in a year, what is that per Ans. $0,064. 29. Suppose the Legislature of this State should grant a tax of 7 cents 3 mills on a dollar, what will a man's tax be, who is 142 dollars 40 cents on the list? Ans. $10,395. 30. A Bankrupt, whose effects are 3948 dollars, can pay his creditors but 28 cts. 5 mills on the dollar. What does he owe? Ans., $13852,631. 31. Suppose a cistern having a pipe that conveys 4 gallons, 2qts. into it in an hour, has another that lets out 2 gallons, 1qt. 1pt. in an hour, if the cistern contains 84 gallons, in what time will it be filled? Ans. 39h. 31m. 4515s. 32. If 80 dollars worth of provisions will serve 20 men 25 days, what number of men will the same provisions serve 10 days? Ans. 50 men. 33. If 6 men spend 16 dollars 7 cents in 40 days, how long will 135 men be spending 100 dollars? Ans. 11 days, 1h. 30m. 18s. 34. A bridge built across a river in 6 months, by 45 men, was washed away by the current; required the number of workmen sufficient to build another of twice as much worth in 4 months? Ans. 135 men. 35. Four men, A, B, C, & D, found a purse of money containing 12 dollars, they agree that A shall have one third, B one fourth, C one sixth and D one eighth of it, what must each man have according to this agreement? Ans. A's share $4,5713. B's share, $3,4284. C's share $2,2855. D's share, $1,714. 36. A certain usurer lent £90 for 12 months, and received principal and interest £95 8s. I demand at what rate per cent he received interest. Ans. 6 per cent. 37. If a gentleman have an estate of £1000 per annum, how much may he spend per day to lay up three score guineas at the year's end? Ans. £2 10s. 2d. 149. 38. What is the length of a road, which being 33 feet wide contains an acre? Ans. 80 rods in length. 39. Required a number from which if 7 be subtracted, and the remainder be divided by 8, and the quotient be multiplied by 5, and 4 added to the product, the square root of the sum extracted, and three fourths of that root cubed, the cube divided by 9, the last quotient may be 24? Ans. 103. 40. If a quarter of wheat affords 60 ten penny loaves, how many eight penny loaves may be obtained from it? Ans. 75 eight penny loaves 5 41. If the carriage of 7 cwt. 2qr. for 105 miles be £1 5s. how far may cwt. 1qr. be carried for the same money ? Ans. 150 miles. 42. If 50 men consume 15 bushels of grain in 40 days, how much will 30 men consume in sixty days? Ans. 131 bushels. 43. On the same supposition, how long will 50 bushels maintain 64 men? Ans. 104 days, 4 hours. 44. A gentleman having 50s. to pay among his laborers for a day's work, would give to every boy 6d. to every woman 8d. and to every man 16d. the number of boys, women and men was the same; I demand the number of each? Ans. 20. 3 45. A gentleman had £7 17s. 6d. to pay among his laborers; to every boy he gave 6d. to every woman 8d. and to every man 16d. and there were for every boy three women, and for every woman 2 men I demand the number of each ? Ans. 15 boys, 45 women, and 90 men. 46. Three Gardeners, A, 1C, having bought a piece of ground, find the profits of it amount F£ per annum. Now the sum of money which they laid down was in proportion, that as often as A paid 5£ B paid 7£ and as often as B paid 4£ C paid 6£. I demand how much each man must have per annum of the gain ? Ans. A £26 13s. 4d. B £37 6s. 8d. C £56. 47. A young man received 210£ which was 2-3ds.of his eldest brother's portion: now three times the eldest brother's portion was half the father's estate; I demand how much the estate was? Ans. £1890. 48. Two men depart both from one place, the one goes North, and the other South; the one goes 7 miles a day, the other 11 miles a day; how far are they distant the 12th day after their departure? Ans. 216 miles. 49. Two men depart both from one place, and both go the same road the one travels 12 miles every day, the other 17 miles every day; how far are they distant the 10th day after their departure? Ans. 50 miles. 50. The river Po is 1000 feet broad, and 10 feet deep, and it runs at the rate of 4 miles an hour. In what time will it discharge a cubic mile of water (reckoning 5000 feet to the mile) into the sea? Ans. 26 days, 1 hour. 51. If the c. unt which supplies the river Po with water, be 380 miles long and 120 broad, and the wholed upon the surface f a. be 62,700,000 square miles, and if the quantity of water discharged by the rivers into the sea be every where proportional to the extent of land by which the rivers are supplied; how many times greater than the Po will the hole amount of the rivers be? Ans: 1375 times. 52. Upon the same supposition, what quantity of water altogether will be discharged by all the rivers into the sea in a year? Ans. 19272 cubic miles. 53. If the proportion of the sea on the surface of the earth to that of land be as 10 to 5, and the mean depth of the sea be a quarter of a mile; how many years would it take if the ocean were empty to fill it by the rivers running at the present rate? Ans. 1708 years, 17 days, and 12 hours. 54. If a cubic foot of water weigh 1000 oz. avoirdupois, and the weight of mercury be 13 times greater than of water, and the height of the mercury in the barometer (the weight of which is equal to the weight of a column of air on the same base, extending to the top of the atmosphere) be 30 inches; what will be the weight of the air upon a square foot? a square mile? and what will be the whole weight of the atmosphere, supposing the size of the earth as in questions 51 and 53? Ans. 2109,375 pounds weight on a square foot. 52734375000 10249980468750000000 square miles, 55. A began trade June 1, with 40 dollars, and took in B as a partner, Sept. 8, following, with 120 dollars; on Dec. 24, A put in 190 dollars more, and continued the whole in trade till May 5, following, when their whole gain was found to be 82 dollars; what is each partner's share? Ans. A's share $47,065+B's share $34,934+ 56. If I give 80 bushels of potatoes at 21 cents per bushel, and 240lb. of flax, at 15 cents per lb. for 64 bushels of salt, what is the salt per bushel ? Ans. $0,825. 57 What is the present worth of 482 dollars, payable 4 years hence, discounting at the rate of 6 per cent? Ans. $388,709. 58. I have owing to me as follows: viz. $18,73 in 8 months: $46,00 in 5 months; and 104,84 in 3 months; what is the mean time for the payment of the whole ? Ans. 4 months 2 days. 59. If I sell 500 deals at 15d. a pieced lose £9 per cent, what do I łose in the whole quantity ? Ans. £2 16s. 3d. £90, what may I sell it per Ans. 3s. 4d. 60. If I buy 1000 Ells Flemish of line Ell in London, to gain £10 in the whole? 61. How many wine gallons in a cask, whose bung diameter measures 27 inches, head diameter 21 inches, and length 30 inches? Ans. 63 gals. 3qts. 62. Aitary ofcer dew up his soers in ank and file, ha the number in rank and file quil; on being rein with ree mes hi first number of men, he placed the all in the same form, and then the number in rank and file was just do that it was at first; he was again rein with three times his fist number of men, and afacing he hole in the same form as at first, his nube in rank and file was 4 men ach; Ho man men ha he at fire? F Ans. 100. 63. Two ships A and B sailed from a certain port at the same time; A sailed north 8 miles an hour, and B east 6 miles an hour; What was their distance at the end of one hour? Ans. 10 miles. 64. A hare farts 12 rods before a ho ; but is not perceived by him until she has been up 45 seconds; she scu away at the rat of ten miles an hour, and the dog on view, makes after at the rate of 1 mile an hour. How long will the hound be in overtaking the hare, and what distance will he run? Ans. 97 seconds, he will run 2288 feet. 65. A fellow said that when count is nuts two by two, three by three, four by four, five by five, and si by six, there was still an old one, but when he cunt the seven by seven they came out even; How many had he? Ans. 721. 66. There is an island 50 miles in circumference, and three men start together to travel the same way about it; A goes 7 miles per day, B 8, and C 9; when will they all come together again, and how far will they travel? Ans. 50 days. A 350 miles: B 400, and C 450. 67. If a weight of 1440lb. be placed 1 foot from the prop, at what distance from the prop must a power of 160lb. be applied to balance ? Ans. 9 feet. 68. Sound, uninterrupted, moves about 1142 feet in a second; supposing in a thunder storm, the space between the lightning and thunder be six seconds; at what distance was the explosion? Ans. 1 mile, 94 rods, 24 feet 69. A cannon ball at the first discharge, flies about a mile in eight seconds; at this rate, how long would a ball be in passing from the Earth to the Sun, it being, as astronomers well know, 95173000 miles distant? Ans. 24 years, 46 days, 7 hours, 33m. 20s. 70. A general disposing his army into a square battalion, found he had 231 over and above; but increasing each side with one soldier, he wanted 44 to fill up the square; Of how many men did his army consist? Ans. 19000. 71. A and B cleared by an adventure at sea 45 guineas, which was £35 per cent upon the money advanced, and with which they agreed to purchase a genteel horse and carriage, whereof they were to have the use in proportion to the sums adventured, which was found to be to A, as often as 8 to B; what money did each 72. Tubes may be made of renture? £104 4s. 21 d. B£75 15s. 9 d. weighing not more than at the rate of r of a grain per foot; wh-Fould be the weight of such a tube, which would extend across the Atlantic from Boston to London, estimating the distance at 3000 miles? Ans 2oz. 6pwt. 3gr PLEASING AND DIVERTING QUESTIONS. could jump up How many 1. There was a well 30 feet deep; a fog at the bot 3 feet every day, but he would fall back two feet every night. days did it take the frog to jump out? 2. Two men were driving sheep to market, says one to the other, give me one of yours and I shall have as many as you; the other says, give me one of yours and I shall have as many ain as you. How many ha each? 3. As I was going to St. Ives, I et seven wives, Every wife had seven cks, Every cat had seven kits, How many were going to St. Ives? 4. The count of a certain school is as follows, viz. 1-16 of the boys learn geometry, 3-8 learn grammar, 3-10 learn arithmetic, 3-20 to write, and 9 learn to read: I demand the number of each? 5. A man driving his geese to market, was met by another, who said, Good morrow master, with your hundred geese; says he, I have not an hundred, but if I had half as many as I now have, and two geese and a half beside the number I now have already, I should have an hundred. How many had he? |