Question 103

What is the value of $$3^{2}+7^{2}+13^{2}+17^{2}-1^{2}-5^{2}-9^{2}-11^{2}-15^{2}$$?

Solution

Expression = $$3^{2}+7^{2}+13^{2}+17^{2}-1^{2}-5^{2}-9^{2}-11^{2}-15^{2}$$

= $$(9+49+169+289)-(1+25+81+121+225)$$

= $$516-453=63$$

=> Ans - (D)


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