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Question

The product of unit digit in (795 – 358) and (795 +358) is (a) cube of 2 (b) lies between 6 and 10 (c) 6 (d) lies between 3 and 6

Solution (a,b) Unit digit in (795) = Unit digit in [(74)23 x 73] = Unit digit in 7 (as unit digit in 74 = 1) = Unit digit in 343 Unit digit in 358 = Unit digit in (34)4 x 32 [as unit digit 3+ = 1] = Unit digit is 9 Sounit digit in (795 – 358) = Unit digit in (343 -9) = Unit digit in 334= 4 Unit digit in (795 + 358) = Unit digit in (343 +9) = Unit digit in 352 = 2 So the product is 4 x 2 = 8
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