Numbers & Algebra

What is the remainder when 2050 x 2071 x 2095 is divided by 23?

A.	17
B.	12
C.	6
D.	3
	Answer : C Explanation : 2050 x 2071 x 2095 =(23x89+3)x(23x90+1)x(23x91+2) =(23[89 x 90+ 89 + 90 x 3]+ 3)x(23 x 91+2) =(23 K+ 3) (23 * 91 + 2) ) =(23 [K 91 + K* 2 + 91 * 3]+ 6) = 23 * L + 6 (where K and L are constants). Hence remainder is 6. Sakshi singh said: (7:38pm on Friday 21st July 2017) but sir remainder 17 are also come .if we calculate it well, some quick arithmetic as followed by using multiples of 23 like 230,2300 etc. 2300-230=2070 is clearly a multiple of 23.(2070-2050)(2070-2071)(2070-2095)=20(-1)(-25) by 23500/23remainder is come 17. Write your comments here: Updating your Comments.. Updating your Comments.. Report Error
	Option: A Explanation : Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here. Explanation will come here.

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