Friday, 20 March 2015

EXERCISE 6.A (OBJECTIVE TYPE QUESTIONS) (IN 36 40 SOLUTION)

36.       The average price of 10 books is Rs. 12 while the average price of 8 of these books is Rs. 11.75. Of the remaining two books, if the price of one book is 60% more than the price of the other , what is the price of each of these two books?

a)      Rs.5, Rs,7.50

b)      Rs.8, Rs. 12

c)       Rs. 10, Rs. 16

d)      Rs. 12,Rs.14

37.       The average of runs of a cricket player of 10 innings was 32. How many runs must he make in his next innings so as to increase his average of runs by 4?

a)      2

b)      4

c)       70

d)      76

38.       A grocer has a sale of Rs. 6435, Rs. 6927, Rs. 6855, Rs. 7230 and Rs. 6562 for 5 consecutive months. How much sale must he have in the sixth month so that he gets an average sale of Rs. 6500?

a)      Rs. 4991

b)      Rs. 5991

c)       Rs. 6001

d)      Rs. 6991

39.       A company produces on an average 4000 items per month for the first 3 months. How many items it must produce on an average per month over the next 9 months, to average 4375 items per month over the whole?

a)      4500

b)      4600

c)       4680

d)      4710

40.       In the first 10 over’s of a cricket game, the run rate was only 3.2 what should be the run trade in the remaining 40 over’s to reach the target of 282 runs?

a)      6.25

b)      6.5

c)       6.75


d)      7

ANSWERS 

36.D
37.C
38.D
39.A
40.A

SOLUTION 

36.       Total price of the two books = Rs. [(12 x 10) – (11.75 x 8)]
=Rs. (120 – 94) = Rs. 26.

Let the price of one book be Rs. X.

Then, the price of other book = Rs. (X + 60% of X) = Rs. (X + 3/5 X ) = Rs. (8x / 5).

So, X + 8X / 5 = 26  13X = 130  X = 10.

The prices of the two books are Rs. 10 and Rs. 16.

37.       Average after 11 innings = 36.

Required number of runs = (36 x 11) – (32 x 10)

= 396 – 320 = 76.

38.       Total sale of 5 months = Rs. (6435 + 6927 + 6855 + 7230 + 6562) =Rs. 34009.

Required sale = Rs. [(6500 x 6) – 34009] = Rs. (3900 – 34009) = Rs. 4991.

39.       Required average = (4375 x 12) – (4000 x 3) /9 = 52500 -1200 / 9 =40500 /9 = 4500.

40.       Required run rate = 282 –(3.2 x 10) / 40 = 250 / 40 = 6.25. 

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