Related InterviewSolutions

• Find the cube root of 17576 through estimation.
• Is 68600 a perfect cube? If not, find the smallest number by which 68600 must be multiplied to get a perfect cube.
• State true or false.(i)        Cube of any odd number is even.(ii)       A perfect cube does not end with two zeros.(iii)      If square of a number ends with 5, then its cube ends with 25.(iv)      There is no perfect cube which ends with 8.(v)       The cube of a two digit number may be a three digit number.(vi)      The cube of a two digit number may have seven or more digits.(vii)     The cube of a single digit number may be a single digit number.
• You are told that 1,331 is a perfect cube. Can you guess without factorisation what is its cube root? Similarly, guess the cube roots of 4913, 12167, 32768.
• Is 243 a perfect cube?
• Is 53240 a perfect cube? If not, then by which smallest natural number should 53240 be divided so that the quotient is a perfect cube?
• Is 392 a perfect cube? If not, find the smallest natural number by which 392 must be multiplied so that the product is a perfect cube.
• Is 1188 a perfect cube? If not, by which smallest natural number should 1188 be divided so that the quotient is a perfect cube?