Home
Class 12
MATHS
Let the product of all the divisors of 1...

Let the product of all the divisors of 1440 be P . If P is divisible by `24^(x)` , then the maximum value of x is :

A

28

B

30

C

32

D

36

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-2 : One or More than One Answer is/are Correct|4 Videos
  • PERMUTATION AND COMBINATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|2 Videos
  • PARABOLA

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|2 Videos
  • PROBABILITY

    VK JAISWAL ENGLISH|Exercise Exercise -5 : Subjective Type problems|11 Videos

Similar Questions

Explore conceptually related problems

Product of all the even divisors of N = 1000 , is

24x divisible by 6 ?

If the three digit number 24x is divisible by 9, what is the value of x?

If P(x)=x^(3)-1 then the value of P(1)+P(-1) is

p(x)=4(-x^(3)+11x+12)-6(x-c) In the polynomial function p(x) defined above c is a constant. If p(x) is divisible by x, what is the value of c?

If the normal to the ellipse x^2/25+y^2/1=1 is at a distance p from the origin then the maximum value of p is

If P_n denotes the product of all the coefficients of (1+ x)^n and 8! P_(n+1)=9^8 P_n then n is equal to

Let P be a matrix of order 3xx3 such that all the entries in P are from the set {-1,\ 0,\ 1} . Then, the maximum possible value of the determinant of P is ______.

Let P be a variable point on the ellipse x^(2)/25 + y^(2)/16 = 1 with foci at S and S'. If A be the area of triangle PSS' then the maximum value of A, is