WBSSC SLST MATH PG TEST FREE

1.

The mathematical expectation of sum of points on n dice is

(a) 4n/2 (b) 7n/2  (c) 5n/4 (d) none of these

2.

If x has a Poisson distribution with parameter 3, then P(x ≥ 3) is

(a) 13/e³   (b)1 – 17/(2e³)     (c) 7/e³     (d) 1 – 7/e³

3.

A particle describes the curve r = ae^θ with constant angular velocity. Its radial acceleration is

(a) r   (b) 1/r   (c) 0  (d) 1/r² 

4.

If x, y, z > 0 and x + y + z = 1, then maximum value of (1 – x)(1 – y)(1 – z) is

(a) 1/27 (b)  4/27  (c) 16/27  (d) 8/27

5.

Square of any odd integers can be expressed as   [n in integer]

(a) 5n – 1  (b) 3n +2  (c) 4n – 1 (d) 8n + 1

6.

7.

8.

The radius of curvature at point of the curve is p² = ar is varies as

(a) r  (b) r ^3/2  (c) r  ^{– 1/2}   (d) r  ^{– 1/2}

9.

10.

11.

12.

13.

14.

A plane passes through a fixed point ( p, q, r ) and cuts the axes at A, B, C. Then the locus of the centre of the sphere OABC is

(a) x/p + y/q + z/r = 1

(b) x/p + y/q + z/r = 4

(c) p/x + q/y + r/z = 2

(d) p/x + q/y + r/z = 3

15.

16.