The maximum sum of the series `20+19 1/3+18 2/3+......` is (A) `310` (B) `300` (C) `0320` (D) none of these

The sum of the series 1^(2) + 3^(2) + 5^(2) + ......+n'

The box contains tickets numbered from 1 to 20. Three tickets are drawn from the box with replacement. The probability that the largest number on the tickets is 7 is (A) 2/19 (B) 7/20 (C) 1-(7/200)^3 (D) none of these

The sum of the series 1/(2!) - 1/(3!) + 1/(4!) - …….. upto infinity is

Find the number of terms in the series 20 ,19 1/3,18 2/3... the sum of which is 300. Explain the answer.

The sum of 50 terms of the series 1+2(1+1/(50))+3(1+1/(50))^2+ is given by 2500 b. 2550 c. 2450 d. none of these

There are three coplanar parallel lines. If any p points are taken on each of the lines, the maximum number of triangles with vertices on these points is a. 3p^2(p-1)+1 b. 3p^2(p-1) c. p^2(4p-3) d. none of these

In a A B C ,/_B=90^0 and b+a=4. The area of the triangle is maximum when /_C is (a) pi/4 (b) pi/6 (c) pi/3 (d) none of these

In A B C , if the orthocentre is (0,0) and the circumcenter is (1,2), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

If a >0, then least value of (a^3+a^2+a+1)^2 is (a) 64 a^2 (b) 16 a^4 (c) 16 a^3 (d)d. none of these

If A is the area and 2s is the sum of the sides of a triangle, then (a) Alt=(s^2)/4 (b) Alt=(s^2)/(3sqrt(3)) (c) 2RsinA (d) none of these