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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:2014
QUESTION ONE – (30 MARKS)
a) Write each of the following as algebraic statements. i. Quotient of a number and 9 equal to 3 times the number. (1Mark) ii. A biro pen costs twice as much as a pencil. (1 Mark) b) Simplify the following without using tables log 27log 9 log 3 (3 Marks) c) Evaluate to four significant figures; 1.5683×3.472 5.828×0.03628 (4 Marks) d) Simplify the following 2(15!) 9!6! + (5! 10!7! (4 Marks) e) Expand (1 + )5 using the binomial theorem. (3 Marks) f) (2 Marks) g) John deposited Ksh 400,000 in a savings account for 3 years at a simple interest of12.5% p.a. How much money would he have lost if he had deposited the same amount for 2 years in a fixed deposit account where the money is compounded at 16% p.a. (3 Marks) h) Evaluate the maximum absolute error, hence the minimum and maximum value in 6.12 2.313 . (4 Marks) i) Otieno intends to purchase two types of chemicals, type P and type Q at wholesale price. 40kg of type P and 20kg of type Q costs Ksh. 1680. At a retail price, the total cost of 25kg of type P and 13kg type Q is Ksh 59.50 more than the wholesale price. If the retail price of type P is 5% more and Q is 7.5% more than the corresponding wholesale price, determine i. Cost of 1kg of type P at wholeslale price. (4 Marks)
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ii. What Otieno would pay in total for 4kg of type P at retail price and 10kg of type Q at wholesale price? (1 Mark)
QUESTION TWO (10 MARKS)
a) With the help of an example, what is an Algebraic Expression? (2 Marks) b) Four business persons took their computers to an auction. John had 2 more computers than Otieno. Musyoka had 3 times as many computers as John and Wairimu has 10 computers less than John and Musyoka. i. Write an algebraic expression with one variable representing the total number of computers. (4 Marks) ii. Three retailers bought all computers and shared them equally. If each retailer got 17 computers, how many did Wairimu sell to the retailers? (4 Marks)
QUESTION THREE (10 MARKS)
a) i) Find x if log 10.24 = 2 (2 Marks) ii) Simplify the following 2 3 × 1 4 1 6 (3 Marks) b) Use log tables to evaluate: (613×9.25)2 2.13×14 3 ( 5 Marks)
QUESTION FOUR (10 MARKS)
Fridah wants to buy a sewing machine on hire purchase. It has a cash price of Kshs.7500. she can pay the cash price or make a down payment of Ksh,2250 and 15 monthly installments of sh.550 each.
i. How much interest does she pay under the installment plan? (3 Marks) ii. Calculate the rate of interest charged per month in (a) above. Use compound interest method. (4 Marks) iii. Calculate the rate of interest if shs.4500 earns sh. 500 after 1.5 years using simple interest formula. (3 Marks)
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QUESTION FIVE (10 MARKS)
a) Given that the measured radius and height of a cylinder is 2.4cm and 3.46cm respectively. Compute the maximum absolute error in the surface area of the cylinder computed using these values. (take = 22 7 . (5 Marks) b) Briefly explain five types of errors caused by approximation. (5 Marks)
QUESTION SIX (10 MARKS) a) Find the sum of the 1st 10 terms of an arithmetic progression of which the first term is 60 and the last term is 104. (5 Marks) b) Determine the number of 3 digits which can be formed from the digits 1,2,3,4,5 and 6 if; i. Repetitions are not allowed and ii. Repetitions are allowed. (5 Marks)
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