WBSSC SLST Online SLST Mathematics Mock Test

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1.

m118

 
 
 
 

2.

m19

 
 
 
 

3.

m13

 
 
 
 

4.

m16

 
 
 
 

5.

m18

 
 
 
 

6.

A sphere of constant radius 2k passes through the origin and meets the axes in A, B and C. The locus of the centroid of tetrahedron OABC (O is origin) is

m117

 
 
 
 

7.

The point at which there is an attainment of optimal value of the objective function are

(A) A point of intersection of inequations with both the axes.
(B) the point of intersection of inequations with x-axis only
(C) the corner points of the feasible region
(D) None of these

 
 
 
 

8.

The locus of the pole of a tangent to the ellipse with ecentricity e with respect to its auxiliary circle is another ellipse with ecentricity e1  connected by the relation

m121

 
 
 
 

9.

m12

 
 
 
 

10.

m119

 
 
 
 

11.

m15

 
 
 
 

12.

m14

 
 
 
 

13.

m11

 
 
 
 

14.

The mathematical expectation of sum of points on n dice is –

(A)4n/3    (B) 7n/2 (C) 5n/4  (D) None of these

 
 
 
 

15.

m113

 
 
 
 

16.

The maximum value of P=6x+8y,when the conditions are

m112

(A) 120 (B) 90 (C) 96 (D) 240

 
 
 
 

17.

m17

 
 
 
 

18.

m114

 
 
 
 

19.

A problem in Mathematics given to 3 students A, B, C whose chance of solving problems are 1/2, 1/3, 1/4 respectively. Probability that the problem is solved is

(A) 1/4  (B) 1/24 (C) 23/24  (D) 3/4

 
 
 
 

20.

m116

 
 
 
 

21.

m122

(A) Equal (B) Parallel  (C) Perpendicular (D) Inclined at an angle 45°

 
 
 
 

22.

The area of the region in the first quadrant bounded by y axis and the curve y=sinx and y =cosx is

m120