48X48 36912 divisor. 487 X 487 X 487—115501303 subtrahend. 2. What is the biquadrate root of 56249134561 ?* *The most simple method of extracting the biquadrate root is to extract the square root of the given number, and then extract the square root of the square root thus found; this second square root will be the biquadrate root of the given number. MISCELLANEOUS QUESTIONS. 1. I demand the sum of 1738, added to itself. Ans. 3476.04 2. What is the difference between 14676, and the fourth of itself? Ans. 11007. 3. Required the product of 365, multiphed by itself. Ans. 133285.. J 4. Admit 476 be the square root of a number, what will be the quotient of that number, divided by half its roots? Ans. 952.3 5. There is in three bags the sum of $1468, viz. in the first bag $461, in the second, $581; how much is in the third bag? Ans. $426. 6. What number is that which if multiplied by 17, the product will be 221 ? 7. A and Ans. 13. that of Aowes several debts, the less debt being 2 $2173, the difference of the two is $371; what is B's debt ? Ans. $2544. 8. A captain and 160 sailors took a prize worth $4532, of which the captain had for his share, and the rest was equally divided among the sailors; what was each man's part? 9. What number is that from which if you take 796, the remainder will be 340 ? + Ans. 1066. Ans. 832. 10. What number is that which being added to 706, their sum will be 1538? 11. What number is that which being divided by 72, the quotient will be 19? Ans. 1368. 12. If stock be bought when it is worth $650 per cent, and sold again when it is worth $130 per cent. how much is lost in buying and selling $400 capital stock? Ans. $2080. 13. A man at the age of 25 years had a son born, who lived 46 years, and then died; after which time the father lived 17 years abroad, and 23 years at home, and then died also; what was the age of the father when he died? Ans. 111 years. 14. Three men traded in company till they gained 120; the sums they put in were in such proportion, that as often as A had £5 of the gain, B had £7, and as often as B had₤4, Chad £6; what was each man's share of the gain? A, £26 13 4 376 8 Ans. B, { C, 56 0 0 15. A, B and C, freight a ship with goods to the value $11088, of which A put in $1107, B $2691, by reason of a storm, one third of the goods were lost, what was C's share of the first cost, and each man's share of the loss? Ans. C's share of cost $7290, 16. A and B traded in company, and gained $100; A put in 8640, B put in so much that he must receive $60 of the gain; I demand how much B put in ? Ans. $960. 17. What is the value of 27 dozen and 10 pounds of candles, at 5d. per lb ? Ans. £6 19 2. 18. Bought 28 quarters, and 2 bushels of wheat, at 4s. 6d. per bushel; what is its whole value? Ans. £50 17. 19. How much can a man earn in 20 weeks, at 75 cents per day, Sundays excepted? $Ans. 90. 20. A, B and C, traded together, A put in I know not how much, B put in 20 pieces of cloth, and C put in $500, and they gained $1000, whereof A ought to have $350, and B 8400; what was C's share of the gain, how much did A put in, and how much was B's cloth worth? Ans. C's share of the gain was $250. Ans B's cloth was worth $800. 21. A merchant bought six bags of hops, weighing as follows, viz. No. 1, 3cwt. 3qrs. 201b; No. 2, 3cwt. 2qrs. 261b; No. 3, 3cwt. 24lb No. 4, 3cwt. 3qrs. No. 5, 2cwt. 2qrs. 221b; No. 6, 2cwt. 2qrs. 26lb besides 5 packets, three of which weighed 76 lb. each, and the other two 624lb. each; what is the weight of the whole ? Ans. 22cwt. Oqrs. 24lb. 22. Two merchants in company gained 84000; A put in so much that his share of the gain was $600; B put in 7200 ducats, at of a dollar each; I demand how much A put in, and how much the ducats were worth Ans. A put in $3600, and B's ducats were Worth $2400/ 23. If 4 of 8, be 3, what will of 20 be? Ans. 10. 24. If I buy an apple and an half, for 3 half cents, how many can I buy for a dollar? Ans. 100. 25. A man bought a certain quantity of broadcloth and drugget, which cost him £81; there were 50 yards of the broadcloth, at 18s. per yard, and for every 5 yards of broadcloth he had 9 yards of drugget; I demand the number of yards of drugget, and how much it was per yard? Ans. 90 yards at 8s. per yard. 26. What is the difference between six dozen dozen, and half a dozen dozen ? Ans. 792. 27. An usurer lent 90 for 12 months, and at the end of the time received £95 8, for principal and interest; I demand at what rate per cent. he received interest ? Ans. 6 per cent. 28. Two men travel in opposite directions, from one place at the same time, one travels 7, the other 11 miles a day, for 12 days; how far are they asunder, at the end of the 12th day? Ans. 216 miles. 29. Two men depart from one place at the same time, and both travel the same road, one travels 12, the other 17 miles, each day, for 10 days; how far are they then asunder? Ans. 50 miles. 30. A man's yearly income is $1913,124; how much may he spend per day, to lay up $4000 at the end of four complete years of 365 days, 6 hours each? Ans. $2,50. 31. A square piece of land contains 43560000 super ficial feet; what is the length of one of its sides? 32. Two men set out at the same time, from the same place, but go contrary ways: In what time will will they be 2000 miles asunder, each travelling 34 miles a day, allowing 12 hours to each day? Ans. 29 days, 4 hours, 56 minutes, 2 seconds. W 33. There are three numbers, 17, 19, and 48; I demand the difference between the sum of the squares of the first and third, and the cube of the second ? Ans. 4266. 34. In 7 cheeses, each weighing 1cwt. 2qrs. 5lb. how many allowances for seamen may be cut, each weighing 5oz. 7dr. ? Ans. 35631 35. In 81034 runlets of brandy, each 18 gallons, how many gross of bottles, each bottle of a quart? Ans. 45581 gross, 7 dozen and 6 bottles. 36. A gentleman a chaise did buy, A horse and harness too : They cost the sum of three score pounds, The harness came to half the horse, Harness, 15. 37. There are two numbers, the one 25, the other square of 25; I demand the square root of the sum of their squares. Ans. 625,4998+. the 38. What will be the freight of 3 boxes, measuring No. 1, 7 feet long, 3 feet 9 inches wide, and 1 foot 3 inches deep; No. 2, 5 feet 3 inches long, 4 feet wide, and 3 feet deep; No. 3, 4 feet long, 3 feet wide, and 2 feet deep, at $1,25 per foot? Ans. $177,91+ 39. The ceiling over a store is 51 feet long, and 23 feet, 1 inch wide; how much must I pay for plastering it, at 25 cents a yard? Ans. $33,01,7 40. A merchant bought 8 tuns of wine, which having received damage, he sold for £400, and 12 per cent. loss; I demand how much it cost him per tun, and how he sold it per gallon, to lose after the said rate? { Sold at O Cost £56 16 4 per tun. Ans. 21. 41. What number is that which being multiplied by , the product will be 154. 42. What number is that which being divided by 2, the quotient will be 21. Ans. 154. |