WBSSC SLST Online SLST Mathematics Mock Test

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1.


m16

 
 
 
 

2.


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

 
 
 
 

3.


m14

 
 
 
 

4.


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

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

 
 
 
 

5.


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

 
 
 
 

6.


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

m112

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

 
 
 
 

7.


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

m120

 
 
 
 

8.


m18

 
 
 
 

9.


m122

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

 
 
 
 

10.


m11

 
 
 
 

11.


m15

 
 
 
 

12.


m114

 
 
 
 

13.


m13

 
 
 
 

14.


m118

 
 
 
 

15.


m119

 
 
 
 

16.


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

 
 
 
 

17.


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

 
 
 
 

18.


m116

 
 
 
 

19.


m17

 
 
 
 

20.


m19

 
 
 
 

21.


m113

 
 
 
 

22.


m12