11.) The sum of a few (more than 2 and less than 100) consecutive integers is found
to be 253. There can be 2 values of the total number of terms. The positive difference between these 2 values will be
(a) 15 (b) 20 (c) 25 (d) 35 (e) 45
12.) A semicircle with radius R is contained in a square whose sides have length 1 unit. The maximum value of R is
a. 2 – √2 b. (√2 + 1)/4 c. √3 – √2 d. (√6 + 2)/8 e. (√6 – √2)/2
13.) 10) A vertical cylinder vessel contains water in it up to height of √3 unit. The cylinder is then tilted till its axis make 30 degrees with the vertical and the level of water just covers the base of the vessel. The radius of the base of the vessel is
(a) 1 (b) 3 (c) √3/2 (d) 2/√3 (e) none of the foregoing
14.) For real x and y if f(x, y) = f(x+y, 1) + f(1, x+y). Then f(x, 1-x)/f(x, -x) equals
(a) ½ (b) 1 (c) 2/3 (d) 2 (e) 3/2
I dont have OA to these questions 🙂