Monday, 29 February 2016

Mathematics for SSC CGL 2016



1.   If ax + by = 6, bx – ay = 2 and x2 + y2 = 4 , then the value of 
 ( a2 + b2 ) would be :
(a) 10                                             
(b) 2
(c) 4                                               
(d) 5
2.   If x + 1/x = 4, then x3 + 1/x3is :
(a) 64                                             
(b) 32
(c) 52                                              
(d) 16

3.   If  x + y = 1, then the value of x3 + y3 + 3xy is :
(a) 0                                               
(b) 1
(c) 3                                               
(d) 5

4.   If x = 99 , value of x ( x2 + 3x + 3) is :
(a) 1000001                                  
(b) 99999
(c) 999999                                   
(d) 9999999

5.   If ( y –z )3 + ( z – x )3 + ( x – y )3 is equal to
(a) 3(y – z ) ( z + x ) ( y – x)         
(b) ( x – y ) ( y + z ) ( x – z)
(c) 3 ( y –z ) ( z – x) (x – y )         
(d) ( y –z ) ( z –x ) ( x – y )

6.   If tan 2q. Tan 4q = 1 , then value of tan3q is :
(a) 1/2                                              
(b) 1
(c) 2/3                                           
(d) 1/3

7.   If secθ = 5/4, then find the value of cos ^2 θ-sin^2 θ  ?
(a) 1                                                
(b) 7/25                     
(c) 16/25                                         
(d) 9/25

8.   The value of sin2 21° + sin223° + sin2 33° + sin2 57° +
sin2 67° + sin2 69° is :
(a) 1                                                
(b) 3
(c) 5                                                
(d) 6

9.   Find the inradius of an equilateral triangle whose area is 9  /4 sq. cms?
(a) 3 cm                                         
(b) 1 cm
(c) 9 cm                                         
(d) None of these

10.   One side of a right angled triangle is 5 units and hypotenuse is 13 unit; its area is :
(a) 35 sq. units                            
(b) 25 sq. units
(c) 30 sq. units                             
(d) 20 sq. units


Answers Key:
1. A
2. C
3. B
4. C
5. C
6. B
7. B
8. B
9. D
10. C

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