Which one is correct? (A) `(1999)^2000gt(2000)^1999` (B) `(1998)^1999lt(1999)^1998` (C) `(100)^101lt(101)^100` (D) `26^25gt25^26`

Which of the following holds true? (A) 101^50-100^50gt99^50 (B) 101^50-99^50lt100^50 (C) (1000)^1000gt(1000)^999 (D) (10001)^999lt(1000)^1000

If P(A|B) gt P(A) , then which of the following is correct:(A) P(B | A) lt; P(B) (B) P(AnnB) lt P(A)* P(B) (c) P(B|A) gt P(B) (D) P(B | A) = P(B)

If t_r=2^(r/3)+2^(-r/3), then sum_(r=1)^100 t_r^3 -3 sum_(r=1)^100t_r+1= (A) (2^101+1)/2^100 (B) (2^101-1)/2^100 (C) (2^201+1)/2^100 (D) none of these

If ^n C_0/2- ^n C_1/3+^n C_2/4-…….+(-1)^n ^n C_n/(n+2) = 1/(1999x2000) then n = (A) 1998 (B) 1999 (C) 2000 (D) 2001

55% of 1000 -: 60% of 2000= (a) (11)/(24) (b) (12)/(25) (c) (13)/(24) (d) (14)/(25)

If 25% of x is 100, then x= (a) 100 (b) 200 (c) 300 (d) 400

In a /_\ABC, b^2+c^2 =1999 a^2 , then (cotB+cotC)/(cotA)= (A) 1/1999 (B) 1/999 (C) 999 (D) 1999

|z-i|lt|z+i| represents the region (A) Re(z)gt0 (B) Re(z)lt0 (C) Im(z)gt0 (D) Im(z)lt0

Which of the following is not correct? (A) |7+i|gt|5+i| (B) |7+i|gt|7-i| (C) |7+2i|gt|7+i| (D) none of these

If the coefficient of x^100 is in 1+(1+x)+(1+x)^2+(1+x)^3+………+(1+x)^n , (n >= 100) is ^201C_101 then n (A) 100 (B) 200 (C) 101 (D) none of these