CAT 2003 | Question: 1-74

Question

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

How many children of age more than $10$ years are taller than $150$ cm and do not weigh more than $48$ kg?

• A. $16$
• B. $40$
• C. $9$
• D. Cannot be determined