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Find the smallest number by which 2592 s...

Find the smallest number by which 2592 should be divided so that the quotient is a perfect cube The folloiwng are the steps involved in solving the above problem .Arrange them in sequential order
(A) On prime factorisation 2592 =`2^(5)xx3^(4)`
(B) 2592 should be divided by 12 so that the quotient is a perfect cube
(C ) Now 2592 =`(6)^(3)xx12`

A

BCDAE

B

CBADE

C

BCAED

D

CBDAE

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • Find the smallest number by which 2592 should be divided so that the quotient is a perfect cube. The following steps are involved in solving the above problem. Arrange them in sequential order. (A) On prime factorization, 2592 =2^5 xx 3^4. (B) 2592 should be divided by 12, so that the quotient is a perfect cube. (C) Now, 2592 = (6)^3 xx 12.

    A
    ACB
    B
    ABC
    C
    CAB
    D
    CBA

  • The smallest number by which 243000 be divided so that the quotient is a perfect cube is

    A
    a) 3
    B
    b) 27
    C
    c) 9
    D
    d) 1

  • What is the smallest number by which 625 must be divided so that the quotient is a perfect cube ?

    A
    A) 25
    B
    B) 5
    C
    C) 2
    D
    D) 3

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