How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10? For example, 16 +17+18+19=70.	Choose the most appropriate option.
A) 22	B) 200	C) 87	D) 99	E) 77
Explanation:   Let the numbers be n, n+1, n+2, n+3.   Sum of these numbers = 4n + 6.   Let 4n + 6 = 10k   So n  4  + 6= 
<gadget id="calculator"> 4  + 6</gadget>
<output>10</output>
10k   So n= 10k−6410k−64 = 2k−1+2k−242k−1+2k−24 = 2k−1+k−122k−1+k−12   So k takes only odd numbers.   For k = 1, n = 1   For k = 3, n = 6   For k = 5, n = 11   Final value of n = 996.   So total values = =l−ad+1=996−15+1=l−ad+1=996−15+1 = 200   Answer:200
<result>B</result>
How many such 4 consecutive numbers are there less than 1000 when added gives a sum which is divisible by 10? For example, 16 +17+18+19=70.