Q.11359·Miscellaneous·2014·EasyA rectangular box is to be made from a sheet of 24 inch length and 9 inch width cutting out identical squares of side length x from the four corners and turning up the sides. What is the value of x for which the volume is maximum ?View question
Q.11360·Miscellaneous·2014·EasyA rectangular box is to be made from a sheet of 24 inch length and 9 inch width cutting out identical squares of side length x from the four corners and turning up the sides. What is the maximum volume of the box ?View question
Q.11362·Miscellaneous·2014·EasyEliminating the arbitrary constants B and C in the expression y = (2/3C)(Cx – 1)^(3/2) + B, we getView question
Q.11363·Miscellaneous·2014·EasyLet f(x) = ax² + bx + c such that f(1) = f(-1) and a, b, c are in Arithmetic Progression. What is the value of b ?View question
Q.11364·Miscellaneous·2014·EasyIf |a + b| = |a – b|, then which one of the following is correct ?View question
Q.11365·Miscellaneous·2014·EasyWhat is the area of the triangle OAB where O is the origin, OA = 3i – j + k and OB = 2i + j – 3k ?View question
Q.11366·Miscellaneous·2014·EasyWhich one of the following is the unit vector perpendicular to both a = -i + j + k and b = i – j + k ?View question
Q.11367·Miscellaneous·2014·EasyThe line joining the points (2, 1, 3) and (4, -2, 5) cuts the plane 2x + y - z = 3. What is the ratio in which the plane divides the line?View question
Q.11368·Miscellaneous·2014·Easya + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is the angle between a and b ?View question
Q.11369·Miscellaneous·2014·Easya + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is cosine of the angle between b and c ?View question
Q.11370·Miscellaneous·2014·Easya + b + c = 0 such that |a| = 3, |b| = 5 and |c| = 7. What is |a + b| equal to ?View question
Q.11371·Miscellaneous·2014·EasyA cylinder is inscribed in a sphere of radius r. What is the height of the cylinder of maximum volume ?View question
Q.11372·Miscellaneous·2014·EasyA cylinder is inscribed in a sphere of radius r. What is the radius of the cylinder of maximum volume ?View question
Q.11373·Miscellaneous·2014·EasyConsider the function f''(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0. What is f'(x) equal to ?View question
Q.11374·Miscellaneous·2014·EasyConsider the function f''(x) = sec^4 x + 4 with f(0) = 0 and f'(0) = 0. What is f(x) equal to ?View question
Q.11375·Miscellaneous·2014·EasySuppose A and B are two events. Event B has occurred and it is known that P(B) < 1. What is P(A | B') equal to ?View question
Q.11376·Miscellaneous·2014·EasyConsider events A, B, C, D, E of the sample space S = {n : n is an integer such that 10 ≤ n ≤ 20} given by : A is the set of all even numbers. B is the set of all prime numbers. C = {15}. D is the set of all integers ≤ 16. E is the set of all double digit numbers expressible as a power of 2. A, B and D areView question