Home
Class 7
MATHS
If 64 gt x^3, then the greatest possible...

If `64 gt x^3`, then the greatest possible integer value of x is ____

A

1

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C

`64gt x^3rArr 4^3gt x^3`
Clearly, 3 is the greatest possible integer value of x.
Hence,the correct option is (c).
Promotional Banner

Topper's Solved these Questions

  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment test Test -1|11 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Assessment test Test -2|1 Videos
  • INDICES

    PEARSON IIT JEE FOUNDATION|Exercise Level -2|22 Videos
  • GEOMETRY

    PEARSON IIT JEE FOUNDATION|Exercise Test-2|12 Videos
  • MENSURATION

    PEARSON IIT JEE FOUNDATION|Exercise ASSESSMENT TESTS (Test - 1) |23 Videos

Similar Questions

Explore conceptually related problems

If 432 gt 2y^3 , then find the greatest possible integer value of y.

If x^(200) lt 3^(300) , then the greatest possible integral value of x.

If x^(3) lt 8^(4) , then find the greatest possible integer value of x.

If both the expressions x^(1248)-1 and x^(672)-1, are divisible by x^(n)-1, then the greatest integer value of n is

PEARSON IIT JEE FOUNDATION-INDICES -Level -3
  1. If sqrt(2)=1.414 and sqrt(7)=2.646, then find the value of sqrt(32)+sq...

    Text Solution

    |

  2. If 64 gt x^3, then the greatest possible integer value of x is

    Text Solution

    |

  3. Which of the folowing is the ascending order of 2^(1152), 3^(768), and...

    Text Solution

    |

  4. If 2^(a)=4^(b)=8^(c)=64,then which of the following relations hod true...

    Text Solution

    |

  5. If sqrt(2.5)=1.581,then find the value of sqrt(0.625).

    Text Solution

    |

  6. ((27)/(343))^(2/3)xx((343)/(729))^(2/3)div((2401)/(81))^(3/4)=

    Text Solution

    |

  7. If (9)^(2x+4)=(243)^(2x-3.2) , then x =

    Text Solution

    |

  8. If 2^(2n-3)=2048 , then (4n+3n^2)= .

    Text Solution

    |

  9. If 7^(a^(b))=2401 where a and b positive integers and a ne 1, then whi...

    Text Solution

    |

  10. IF (a^b)^c=729, then find the minimum possible value of a+b+c (where a...

    Text Solution

    |

  11. If (2)^(2x-2)-(8)^(y-1)=(16)^(x-2.5), then find the sum of x and y.

    Text Solution

    |

  12. (sqrt(1795)-sqrt(1170))^(3//4)xx(sqrt(1795)+sqrt(1170))^(3//4)=

    Text Solution

    |

  13. If a=(3^(-3)-3^(3)), and b=(3^3-3^(-3)) , then find the value of (a)/...

    Text Solution

    |

  14. Which of the following is the descending order of (4)^26,(64)^9, and (...

    Text Solution

    |

  15. ((x^(5y-3)xx x^(3-2y))/(x^(4y-6)xx x^(2y-9)))^(-4/3)=

    Text Solution

    |

  16. If (xy)^a=z,(yz)^a=x, and (xz)^a=y, then what is the value of a? (None...

    Text Solution

    |

  17. (x^(-1)-y^(-1))/(z)+(y^(-1)-z^(-1))/(x)+(z^(-1)-x^(-1))/(y)=

    Text Solution

    |

  18. Find the value of (1)/(1+x^(a-b))+(1)/(1+x^(b-a))

    Text Solution

    |

  19. If x^5lt 1000 , then find the greater integer value of x.

    Text Solution

    |

  20. If x^(y)=y^(x) where x and y are distinct natural numbers , then find ...

    Text Solution

    |