WBSSC SLST Online SLST Mathematics Mock Test

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1.


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

 
 
 
 

2.


m19

 
 
 
 

3.


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

 
 
 
 

4.


m119

 
 
 
 

5.


m13

 
 
 
 

6.


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

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

 
 
 
 

7.


m17

 
 
 
 

8.


m12

 
 
 
 

9.


m114

 
 
 
 

10.


m118

 
 
 
 

11.


m113

 
 
 
 

12.


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

 
 
 
 

13.


m18

 
 
 
 

14.


m15

 
 
 
 

15.


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

m120

 
 
 
 

16.


m14

 
 
 
 

17.


m16

 
 
 
 

18.


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

m112

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

 
 
 
 

19.


m116

 
 
 
 

20.


m122

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

 
 
 
 

21.


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

 
 
 
 

22.


m11