1)

If a² + b ² + c ²+ 216 = 12 ( a + b − 2 c ), then \(\sqrt{ab-bc+ca} \), is:

SSC CPO 2020

A)

6

B)

4

C)

8

D)

3

2)

If x⁴ + x^-4 = 194, x > 0, then the value of \(x+\dfrac{1}{x} \) is:

SSC CPO 2020

A)

4

B)

6

C)

8

D)

14

3)

If \(( 5\sqrt 5 x^ 3 − 3\sqrt 3 y^ 3 ) ÷ ( \sqrt 5 x − \sqrt 3 y ) = ( A x ^2 + B y^ 2 + C x y )\)  then value of \((3A+ B- \sqrt{15} C)\) is:

SSC CPO 2020

A)

8

B)

5

C)

3

D)

12

4)

The students of a class donated a sum of Rs. 2,209. If each student donated as many rupees as the number of students in the class, then the number of students in the class is:

SSC CPO 2020

A)

49

B)

53

C)

47

D)

51

5)

If x² + 8y² - 12y - 4xy + 9 = 0, then the value of (7x - 8y) is:

SSC CPO 2020

A)

12

B)

9

C)

21

D)

5

6)

If x² - 5x + 1 = 0, then the value of \(\left(x^4 + \frac 1 {x^2}\right) \)\(\div \left(x^2 + 1\right)\) is:

SSC CPO 2020

A)

25

B)

21

C)

22

D)

24

7)

If x + y + z = 19, xyz = 216 and xy + yz + zx = 114, then the value of x³ + y³ + z³ + xyz is:

SSC CPO 2020

A)

1225

B)

1441

C)

577

D)

361

8)

If x² – 3x + 1 = 0, then the value of \( (x^4 + \frac{1}{x^2}) \div (x^2+1) \) is:

SSC CPO 2020

A)

9

B)

5

C)

6

D)

7

9)

If x + y + z = 17, xyz = 171 and xy + yz + zx = 111, then the value of \(\sqrt[3]{{(x^3+y^3+z^3+xyz)}} \) is:

SSC CPO 2020

A)

0

B)

-4

C)

4

D)

-64

10)

The students of a class donated a sum of Rs. 2,809 to the Fund. Each student donated as many rupees as the number of students in the class. The number of students in the class is:

SSC CPO 2020

A)

51

B)

53

C)

49

D)

47