Friday, 20 March 2015

EXERCISE 6.A (OBJECTIVE TYPE QUESTIONS) (IN 31 35 SOLUTION)

31.       The average age of 35 students in a class is 16 years. The average age of 21 students is 14.what is the average age of remaining 14 students?

a)      25

b)      27

c)       30

d)      35

32.       16 children are to be divided into two groups A and B of 10 and 6 children. The average percent marks obtained by the children of group A is 75 and the average percent marks of all the 16 children is 76. What is the average percent marks of children of group B?

a)      77 1/3

b)      77 2/3

c)       78 1/3

d)      78 2/3

33.       The average score of a cricketer for ten matches is 38.9 runs. If the average for the first six matches is 42. Then find the average for the last four matches.

a)      33.25

b)      33.5

c)       34.25

d)      35.

34.       The average of six numbers is 3.95. The average of two of them is 3.4, while the average of the other woo is 3.85. What is the average of the remaining two numbers?

a)      4.5

b)      4.6

c)       4.7

d)      4.8

35.       The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are excluded, the average of the remaining 38 innings is 48 runs. The highest score of  the player is:

a)      165 runs

b)      170 runs

c)       172 runs


d)      174 runs

ANSWERS 


31.D
32.B
33.C
34.B
35.D

 SOLUTION 


31.       Sum of the ages of 14 students = (16 x 35) – (14 x 21 ) = 560 -294 = 266.

Required average = (266/14) = 19 years.

32.       Require average = (76 x 16) – (75 x 10 ) / 6 = (1216 – 750 /6) = 466 / 6 = 233 / 3 = 77  2/3.

33.       Required average = (38.9 x 10)  - (42 x 6) / 4 = 137 / 4  = 34.25.

34.       Sum of the remaining two numbers = (3.95 x 6) – [(3.4 x 2) + (3.85 x 2)]

= 23.70 – (6.8 + 7.7) = 23.70 – 14.5 = 9.20.

Required average = (9.2 / 2) =4.6

35.       Let the highest score be X. then, lowest score = (X = 172).

Then, (50 x 40) –[X + (X – 172) ] = 38 x 48

2 x = 200 + 172 – 1824    2 x = 348   X = 174. 

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