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practice question on Simplification & Power and Roots — Square, Cube

Square, Cube, indices and Surds Question no. 1 The cube root of 1.061208 is : looks_one 1.022 looks_two 10.22 looks_3 0.102 looks_4 1.02 Answer Option looks_4 1.02 Solution Solution : (1 + 0.02) 3 = 1 + 0.000008 + 3 * 1 * 0.02 (1 + 0.02) = 1.061208 Question no. 2 If x abc = x a x b x c and x are all positive integers, then a 2 +b 2 + c 2 = ? looks_one 12 looks_two 14 looks_3 29 looks_4 can't be determined Answer Option looks_two 14 Solution Solution : only one pair a = 1 , b = 2 , c = 3 a + b + c = abc a 2 +b 2 + c 2 = 1 2 +2 2 + 3 2 = 14 Question no. 3 If 16*8 n+2 =2 m , then m is equal to looks_one n + 8 looks_two 2n + 10 looks_3 3n + 2 looks_4 3n + 10 Answer option looks_4 3n + 10 Solution Solution : 16*8 n+2 =2 m 2 4 * 2 3n + 6 = 2 m 2 3n + 10 = 2 m m = 3n + 10 Question no. 4 The least number of four digits which is a perfect square ...