ADVANCED MATHS QUIZ FOR SSC CHSL EXAM 2015

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/x³ is :

(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