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Question

Mathematics Question on Straight lines

If [x] denotes the greatest integer x, then [23]+[23+199]+[23+299]+…..+[23+9899]is equal to

A

(A) 99

B

(B) 98

C

(C) 66

D

(D) 65

Answer

(C) 66

Explanation

Solution

Explanation:
[23+r99]={0x<331r≥33∴∑r=028[23+r99]=∑r=032[23+r99]+∑r=3398[23+r99]=0+66=66