Friday, 20 March 2015

EXERCISE 6.A (OBJECTIVE TYPE QUESTIONS) (IN 21 25 SOLUTION)

21.       The average annual income (in Rs.) of certain agricultural workers is S and that of other workers is T. the number of agricultural workers is 11 times that of other workers. Then the average monthly income (in Rs.) of all the workers is:

a)      S + T/ 2

b)      S + 11T / 2

c)       1 /11  S + T

d)      11 S + T / 12

22.       A family consists of grandparents, parents and three grandchildren. The average age of the grandparents is 67 years. that of the parents is 35 years and that of the grandchildren is 6years. What is the average age of the family?

a)      28 4/7 years

b)      31 5/7 years

c)       32 1/7 years

d)      None of these

23.       A library has an average of 510 visitors on Sundays and 240 on other days. The average number of visitors pore day in a month of 30 days beginning with a Sunday is:

a)      250

b)      276

c)       280

d)      285

24.       If the average marks of three batches of 55, 60 and 45 students respectively is 50, 55 and 60, then the average marks of all the students is:

a)      53.33

b)       54.68

c)       55

d)      None of these

25.       The average weight of 16 boys in a class is 50.25 kgs and that of the remaining 8 boys is 45.15 kgs. Find the average weight of all of boys in the class.

a)      47.55 kgs.

b)      48  kgs.

c)       48.55 kgs.


d)      49.25 kgs.


ANSWERS 

21.D
22.B
23.D
24.B
25.C

 SOLUTION 

21.       Let the number of other workers be x.

        Then, number of agricultural workers =11X.

         Total number of workers = 12X.

          Average monthly income = S x 11X + T X X / 12X = 11S + T / 12.

22.       Required average = (67 x 2 + 35 x 2 +6 x 3/ 2 + 2 + 3)

= (134 + 70 + 18 / 7) = 222 / 7 = 31 5/ ears.

23.       Since the mot begins with a Sunday, so there will be five Sundays in the month

Required average = (510 x 5 + 240 x 25 / 30) =  8550/30 = 285.

24.       Required average = (55 x 50 x 60 x 55 x 45 x 60 / 55 + 60 + 45 )

= (2750 + 3300 + 2700 / 160) = 8750 / 160 = 54.68.

25.       Required average = (50.25 x 16 + 45.15 x 8 /16 + 8)

= (804 + 361.20 / 24) = 1165.20 / 24 = 48.55. 

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