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Question 1
If x4 + x-4 = 2599, then one of the values of x – x-1, where x > 0, is equal to:
Question 2
The sum of a two digit number and the number obtained by reversing its digits is a square number. How many such numbers are there?
Question 3
If x and y be two real numbers and x + y = 8, then the greatest value of xy is:
Question 4
If x2−3x+1 = 0; then what is the value of x + x−1
Question 5
if 
; then the value of 
is:
; then the value of is:Question 6
If √m= 5+2√6, √n= 7+4√3 . Find the value of 
.
. Question 7
let p and q be the roots of the quadratic equation x2 − (t−2)x − t − 1 = 0. What is the minimum possible value of p2 + q2
Question 8
If both a and b belong to the set {1,2,3,4}, then the number of equations of the form ax2 + bx + 1 = 0 having real roots is
Question 9
-5x2 + 7x + 11 = 0. Find the minimum value of the given equation:
Question 10
If a = (y + 1/y) then, y3 + 1/y2 + 1/y3 + y2 = ?
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Mar 27SSC & Railway
