Find the missing number.

6, 12, 18, 24, 30, ___, 42, 48

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Solution

The multiplication table for 6 is given below:

$6 \times 1 = 6$
$6 \times 2 = 12$
$6 \times 3 = 18$
$6 \times 4 = 24$
$6 \times 5 = 30$
$6 \times 6 = 36$
$6 \times 7 = 42$
$6 \times 8 = 48$
The numbers given are therefore, multiples of 6.
It can be seen that the missing number is 36.

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Age (in years)	18-24	24-30	30-36	36-42	42-48	48-54
Number of workers	6	8	12	8	4	2

Number of days	0 − 6	6 − 12	12 − 18	18 − 24	24 − 30	30 – 36	36 – 42
Number of students	10	11	7	4	4	3	1

Length	$6 - 12$	$12 - 18$	$18 - 24$	$24 - 30$	$30 - 36$	$36 - 42$	$42 - 48$
Frequency	$100$	$234$	$450$	$342$	$540$	$289$	$265$

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