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21.

lim  is equal to  


A) 4

B) 3

C) 2

D) 1



22.

 The sum of first 9 terms of the series \frac{1^{3}}{1}+\frac{1^{3}+2^{3}}{1+3}+\frac{1^{3}+2^{3}+3^{3}}{1+3+5}+...is


A) 71

B) 96

C) 142

D) 192



23.

If m is the AM of two distinct real numbers l and n (l,n>1) and G1, G2 and G3  are three geometric means between  l and n , then G_{1}^{4}+2G_{2}^{4}+G^{4}_{3}  equals 


A) 4l^{2}mn

B) 4lm^{2}n

C) 4lmn^{2}

D) 4 l^{2}m^{2}n^{2}



24.

The sum of coefficients  of integral powers of x in the binomial  expansion of  (1-2\sqrt{x})^{50}  is 


A) \frac{1}{2}(3^{50}+1)

B) \frac{1}{2}(3^{50})

C) \frac{1}{2}(3^{50}-1)

D) \frac{1}{2}(2^{50}+1)



25.

 The number of integers greater than 6000 that can be formed. using the digits 3,5,6,7 and 8 without repetition , is


A) 216

B) 192

C) 120

D) 72



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