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Cba0112:Basic Business Mathematics Question Paper

Cba0112:Basic Business Mathematics

Course:Certificate In Bridging Mathematics

Institution: Meru University Of Science And Technology question papers

Exam Year:2010

QUESTION ONE (30 Marks)
(a) If a = 3, b = -2 and c = 0 find the value of: + 2-6 2 (3 Marks) (b) Evaluate to three significant figures 625 ?? 3560 58.7 (3 Marks) (c) If logx 10.24 = 2, find x (3 Marks) (d) Peter sold his vehicle for Sh.300000 and invested the money in building society which pays 12% p.a. compounded semi-annually. After 2 years, her withdrew Sh.50000 and left the rest for a further 3 years. (4 Marks) (e) Solve for x 32?? = 5??+1 (3 Marks) (f) Find the sum of tern terms of an arithmetic progression of which the first term is 60 and the last term is -104. (4 Marks) (g) Factorize the following equation ??2 + ?? - 12 = 0 (3 Marks) (h) Simply the following without using tables log 27-log 9 log 3 (3 Marks) (i) Simplify the following 2 ?? 15! 9!6! + 15! 10!7! (4 Marks)
QUESTION TWO (10 MARKS)
(a) A newly formed committee has met to elect its officers. They wish to appoint a Chairman, a Vice-chairman, a Secretary and a Treasurer. If there are ten candidates in how many ways can the four positions be filled? (5 Marks) (b) Solve the following equation ??3 - 2??2 - 3?? = 0 (5 Marks)
QUESTION THREE (10 MARKS) (a) The sum of the first three terms of a geometric series is 31. If its common ratio is 1 5 . Calculate the sum of the first 8 terms of this series. (3 Marks) (b) Find the sum of the arithmetic progression below. 4 + 11 + 18 ------ + 39 (3 Marks) (c) Use the binomial theorem to evaluate the following expression correct to 4 decimal place. 0.925 (4 Marks)
QUESTION FOUR (10 MARKS)
(a) Fridah want to buy a sewing machine on hire purchase. If has a cash price of Sh7500. She can pay the cash price or make a down payment of Sh2250 and 15 monthly installment of Sh550 each. How much interest does she pay under the installment plan? (3 Marks) (b) Calculate the rate of interest charged per month in (a) above. Use compound interest method. (4 Marks) (c) Calculate the rate of interest is Sh.4500 earns Sh.500 after 1.5 years using simple interest formula. (4 Marks)
QUESTION FIVE (10 MARKS)
(a) Simplify each of the following (i) ?? -2 3 ??1 4 ?? 1 6 (3 Marks) (ii) 2 2+1 = 0 (3 Marks) (b) Use logarithm tables to evaluate 5.32 x 6.39 ÷ 0.0042 (4 Marks)
QUESTION SIX (10 MARKS)
(a) Find the value of a so that the expression is a perfect square. 4??2 + ???? + 16??2 (4 Marks) (b) A group of people decided to raise Sh480000 to start a business. Before the actual payment was made, four of the members pulled out and each of those remaining had to pay an additional Sh.20. Determine the original number of members. (6 Marks)

Cba0112:Basic Business Mathematics Question Paper

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