Sample Test Mathematics
1 If A2 – A + I = 0, then the inverse of A is
2 Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12} be a relation on the set A = {3, 6, 9, 12}.
The relation is
3 If in a frequently distribution, the mean and median are 21 and 22 respectively, then its mode is approximately
4 Let P be the point (1, 0) and Q a point on the locus y2 = 8x. The locus of mid point of PQ is
5 The system of equations
αx + y + z = α - 1,
x + αy + z = α - 1,
x + y + αz = α - 1
has no solution, if α is
6 The value of α for which the sum of the squares of the roots of the equation
x2 – (a – 2)x – a – 1 = 0 assume the least value is
7 If roots of the equation x2 – bx + c = 0 be two consectutive integers,
then b2 – 4c equals
8 If the letters of word SACHIN are arranged in all possible ways and these words are written out as in dictionary, then the word SACHIN appears
at serial number
9 Let f be differentiable for all x. If f(1) = - 2 and f′(x) ≥ 2 for x ∈ [1, 6] ,
then
10 If in a triangle ABC, the altitudes from the vertices A, B, C on opposite sides are in H.P., then sin A, sin B, sin C are in