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101.

(12) x 6 ÷ 432 = ?

Answer» Given Exp. = (12)3 x 64 = (12)3 x 64 = (12)2 x 62 = (72)2 = 5184 432 12 x 62
Discussion
102.

72519 x 9999 = ?

Answer» 72519 x 9999 = 72519 x (10000 - 1) = 72519 x 10000 - 72519 x 1 = 725190000 - 72519 = 725117481.
Discussion
103.

{(476 + 424) - 4 x 476 x 424} = ?

Answer» Given Exp. = [(a + b)2 - 4ab], where a = 476 and b = 424 = [(476 + 424)2 - 4 x 476 x 424] = [(900)2 - 807296] = 810000 - 807296 = 2704.
Discussion
104.

(935421 x 625) = ?

Answer» 935421 x 625 = 935421 x 54 = 935421 x 10 4 2 = 935421 x 104 = 9354210000 24 16 = 584638125
Discussion
105.

The largest 4 digit number exactly divisible by 88 is:

Answer» Largest 4-digit number = 9999 88) 9999 (113 88 ---- 119 88 ---- 319 264 --- 55 --- Required number = (9999 - 55) = 9944.
Discussion
106.

What is the unit digit in {(6374) x (625) x (341)}?

Answer» Unit digit in (6374)1793 = Unit digit in (4)1793     = Unit digit in [(42)896 x 4]     = Unit digit in (6 x 4) = 4 Unit digit in (625)317 = Unit digit in (5)317 = 5 Unit digit in (341)491 = Unit digit in (1)491 = 1 Required digit = Unit digit in (4 x 5 x 1) = 0.
Discussion
107.

On dividing a number by 56, we get 29 as remainder. On dividing the same number by 8, what will be the remainder ?

Answer» Formula: (Divisor*Quotient) + Remainder = Dividend. Soln: (56*Q)+29 = D -------(1) D%8 = R -------------(2) From equation(2), ((56*Q)+29)%8 = R. => Assume Q = 1. => (56+29)%8 = R. => 85%8 = R => 5 = R.
Discussion