General Arithmetic Paper.1. Question 1 for Year 1997.

Q.1. (a)  A machine broke down at 0935 hours. It was repaired at 1210 hours.
              For how many hours and minutes was the machine out of order.

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Ans :

                 From 0935 until 1210 = 2 hrs 35 mins.

(b)          IR£2500 was invested for three years at Compound interest.
              The rate of interest was 4% per annum for the 1st year
               and 3% for the 2nd year.

             (i)       Calculate the amount of the investment after two years.

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        Ans :

                       Interest at end of year 1             =       £2500 * 4/100    =   £100

                       Amount at beginning of year 2   =      £2600

                       Interest at end of year 2             =       £2600 * 3/100    =   £78

                       Amount at end of year 2             =    £2678

           (ii)       If the investment amounted to IR£2744.95 after 3 years,
                       calculate the rate of interest for the third year.
                     

                       Interest for 3rd year    =   £2744.95 - £2678  =  £66.95

                       Interest Rate                =    ( 66.95 / 2678 ) * 100  =  2.5%

(c)

          (i) The length and breadth of a rectangle are in the ratio 9:5.
              The length is 22.5cm, find the breadth.

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           Ans :

                   1 part = 22.5 / 9    =   2.5

                   =>      5 parts = 2.5 * 5    =   12.5

                   =>      Breadth = 12.5

             (ii) Tea served in a canteen is made from a mixture of
                  two different types of tea, types A and B.
                 Type A costs £4.05 per kg. Type B costs £4.30 per kg.
                 The mixture costs £4.20 per kg.
                 If the mixture contains 7kg of type A,
                how many kgs of type B does it contain?

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           Ans :