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##### objective Ques (234 results)
21)

If (5x + 2y) : (10x + 3y) = 5 : 9, then $$(2x^2+3y^2):$$ $$(4x^2+9y^2) = \space ?$$

SSC CGL 2019
A)

31 : 87

B)

10 : 27

C)

16 : 47

D)

1 : 3

22)

If $$x+y+z=6$$$$xyz=-10$$ and $$x^2+y^2+z^2=30$$, then what is the value of $$(x^3+y^3+z^3)$$?

SSC CGL 2019
A)

132

B)

135

C)

130

D)

127

23)

If $$x+{1\over16x}=3$$,  then the value of $$(16x^3+{1\over256x^3})$$ is :

SSC CGL 2019
A)

423

B)

441

C)

432

D)

414

24)

If $$x+y+z=2,$$ $$xy+yz+zx=-11$$ and $$xyz=-12$$, then what is the value of $$\sqrt{x^3+y^3+z^3-2}$$?

SSC CGL 2019
A)

6

B)

12

C)

9

D)

8

25)

If $$x^4-83x^2+1=0$$, then a value of $$(x^3-x^{-3})$$ can be :

SSC CGL 2019
A)

758

B)

756

C)

739

D)

737

26)

If $$(5x+1)^3+$$$$(x-3)^3+$$$$8(3x-4)^3=$$$$6(5x+1)(x-3)$$$$(3x-4)$$, then x is equal to :

SSC CGL 2019
A)

$$5\over6$$

B)

$$1\over3$$

C)

$$2\over3$$

D)

$$3\over4$$

27)

If $$8x^3-27y^3$$$$=(Ax+By)$$$$(Cx^2-Dy^2$$$$+6xy)$$, then $$(A+B+C-D)$$ is equal to :

SSC CGL 2019
A)

-12

B)

12

C)

15

D)

9

28)

If $$x={\sqrt5-\sqrt3\over\sqrt5+\sqrt3}$$ and y is the reciprocal of x, then what is the value of $$(x^3+y^3)$$?

SSC CGL 2019
A)

488

B)

504

C)

472

D)

476

29)

If a = 2b = 8c and a + b + c = 13, then the value of $$\sqrt{a^2+b^2+c^2}\over2c$$ is :

SSC CGL 2020
A)

$$9\over2$$

B)

$$5\over6$$

C)

$$-{9\over2}$$

D)

$$-{5\over6}$$

30)

If x,y,z are three numbers such that x + y = 13, y + z = 15 and z + x = 16, the value of $$xy +xz\over xyz$$ is :

SSC CGL 2020
A)

$$5\over36$$

B)

$$18\over5$$

C)

$$5\over18$$

D)

$$36\over5$$

showing 21 - 30 results of 234 results