Question

Find the largest  such that 

      

Solution

Correct option is

10

The inequality holds for x = 4. For x ≥ 5.  

   

     

   

   

   

  

Thus, 4 ≤ x ≤ 10. Thus the largest x = 10.

SIMILAR QUESTIONS

Q1

The sum of the factors of 9! Which are odd and are of the form 3m + 2, where m is a natural number is 

Q2

Sum of all three digit numbers (no digit being zero) having the property that all digit are perfect squares, is

Q3

Let S = {1, 2, 3, ... n}. if X denote the set of all subsets of S containing exactly two elements, then the value of   

Q4

Let a be a factor of 120, then the number of integral solution of x1x2x3 = a is 

Q5

There are 15 points in a plane of which exactly 8 are collinear. Find the number of straight lines obtained by joining there points.   

Q6

If n is the number of ways in which an examiner can assign 30 marks to 8 questions, giving not less than 2 marks to any quation find n/40.

Q7

Find the number of rectangles that you can find on a chessboard.

Q8

Find the number of integers greater than 7000 that can be formed with the digits 3, 5, 7, 8 and 9, no digit being repeated.

Q9

Ten persons, amongst whom are A, B and C, are to speak at a function. If n is the number of ways in which it can be done if A wants to speak before B, and B wants to speak before C find n/800.

Q10

Find the largest integer n for which 35! Is divisible by 3n.