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Answer the question on the basis of the information given below:

Table A provides data about ages of children in a school. For the age given in the first column, the second column gives the number of children not exceeding that age. For example, first entry indicates that there are $9$ children aged $4$ years or less. Table B and C provide data on the heights and weights respectively for the same group of children in a similar format. Assuming that an older child is always taller and weighs more than a younger child, answer the following questions.

Table A

Age (years)

Number

4

9

5

12

6

22

7

35

8

42

9

48

11

69

12

77

13

86

14

100

 

Table B

Height (cm)

Number

115

6

120

11

125

24

130

36

135

45

140

53

145

62

150

75

155

81

160

93

165

100

 

Table C

Weight (kg)

Number

30

8

32

13

34

17

36

28

38

33

40

46

42

54

44

67

46

79

48

91

50

100

Among the children older than $6$ years but not exceeding $12$ years, how many weigh more than $38$ kg?

  1. $34$
  2. $52$
  3. $44$
  4. Cannot be determined
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