A) 499864
B) 494949
C) 499849
D) 499649
Correct Answer: C
Solution :
Observation is, \[\text{4}0\text{4 }\times \text{ 4}0\text{4 }=\text{ 163216}\] \[=(\text{4 }\times \text{ 4})\text{ (16}+\text{16) (4 }\times \text{ 4)}\] \[\text{5}0\text{5 }\times \text{ 5}0\text{5 }=\text{ 255}0\text{25}\] \[=(\text{5}\times \text{5})\text{ (25}+\text{25) (5}\times \text{5)}\] \[\text{6}0\text{6 }\times \text{ 6}0\text{6 }=\text{ 367236}\] \[=(\text{6}\times \text{6})\text{ (36}+\text{36) (6}\times \text{6)}\] So, \[\text{7}0\text{7 }\times \text{ 7}0\text{7 }=(\text{7 }\times \text{ 7})(\text{49}+\text{49})(\text{7 }\times \text{ 7})\] = 499849
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