MBA Exam Numerical Ability Algebra

Given that a and b are real numbers and a=b+1,find the largest value of x that satisfies the inequality given below. [ (a)^1/2 -(b)^1/2 ] ^ { 1- (x)^(-1/2) } >= [ (a)^1/2 + (b)^1/2 ] ^ { (x)1/2+1 } ( x /=(not equal to) 0 ) note:- (sry frnds this has been mistakenly put into this section,otherwise its a ques of algebra)

1) 3 + 2*(2)^1/2
2) 3*(2)^1/2 -1
3) 3 - 2*(2)^1/2
4) 3*(2)^1/2 + 1
5) none of these

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MBA Other Question

n balls are arranged in rows to form an equilateral triangles. The first row consists of one ball, the second row two balls and so on. If one ball is added, then the resulting balls can be arranged in the form of a square, each side of it containing 4 balls less than that on a side of the triangle. Find the value of n.

1) 11
2) 15
3) 121
4) 120
Ram and Shyam sell their watches at Rs.6000. Ram calculates margin while Shyam calculate his profit on a normal basis. What is the difference in their actual profit if both of them claim to have a profit of 20%?

1) Rs.200
2) Rs.250
3) Rs.240
4) Rs.300