Algebra Questions for SSC CGL

Will you please give here Questions on Algebra topic for SSC CGL (Combined graduate level) examination ?

[Quick Sam]

As you want I am here giving you Questions on Algebra topic for SSC CGL (Combined graduate level) examination.

Sample question :
If x , y are real and x2 + y2 + 2 = 2(y - x) then find the value of x

Solution:

here is only one equation so we have to solve the equation to get the value of x

x2 + y2 + 2 = 2(y - x)

x2 + y2 + 2 - 2y + 2x = 0

same variable put together,

x2 + 2x + y2 - 2y + 2 = 0

x2 + 2x and y2 - 2y can make square if we add 1,


x2 + 2x + y2 - 2y + 1 + 1 = 0

x2 + 2x + 1 + y2 - 2y + 1 = 0

or, (x + 1)2 + (y - 1)2 = 0

since sum of the square of the numbers never be zero unless all are zero

therefore,
x + 1 = 0 and y - 1 = 0

or, x = -1
Algebra questions for SSC CGL exam

Hello Guys , I have Applied for appear in SSC CGL SSC CGL for my help, Here will you please Provide me Algebra Section Questions and Exam pattern ?

[Raman Vij]

Staff Selection Commission Conducts Combined Graduate Level Competitive Exam which is conducted in three Stages.

Get SSC CGL Examination Can be Divided into 3 Tiers, which are:-

SSC CGL Tier 1 Exam Pattern:

Paper No. of Ques Max Marks Time Duration
Part A (General Intelligence
& General Awareness) 100 100 2 Hrs

Part B (Arithmetic) 100 100 2 Hrs
Total 200 200


SSC CGL Tier 2 Exam Pattern:-

Paper Name of Subject Max Marks Time Duration
I General Studies 200 3 Hrs
II English 100 2 Hrs
III Arithmetic 200 3 Hrs
IV Language Comprehension (English) 100 2 Hrs
V Communication Skill & writing ability 200 2 Hrs
VI Hindi (only for Delhi Police) 100 2 Hrs


Important Formulas and Solved Practice Questions :

Image






:

Here Some Algebra Questions for SSC CGL Exam :

1. If x + 1/2x = 2, find the value of 8 x3 + 1/x3.
A.48
B.88
C.40
D.44

2. If x = 2 – 21/3 + 22/3, then the value of x3 – 6 x2 + 18x + 18.
A.22
B.33
C.40
D.45

3. If x + 1/x = 2 and x is real, then the value of x17 + 1/x19 is
A.1
B.0
C.2
D.-2

4. If x2 + y2 – 4x – 4y + 8 = 0, then the value of x – y is-
A.4
B.-4
C.0
D.8

5. If a3 – b3 – c3 – 3abc = 0, then
A.a = b = c
B.a + b + c = 0
C.a + c = b
D.a = b + c\

6. If 2x + 1/3x = 5, find the value of 5x/(6x2 + 20x + 1).
A.1/4
B.1/6
C.1/5
D.1/7

7. If for two real constants a & b, the expression ax3 + 3 x2 – 8x + b is exactly divisible by (x + 2) & (x – 2), then-
A.a = 2, b = 12
B.a = 12, b = 2
C.a = 2, b = -12
D.a = -2, b = 12



8. If x2 – 3x + 1 = 0, then the value of x3 + 1/x3 is-
A.9
B.18
C.27
D.1



9. If x2 + y2 + 2x + 1 = 0, then the value of x31 + y35 is-
A.-1
B.0
C.1
D.2



10. The lines 2x + y = 5 and x + 2y = 4 intersect at the point-
A.(1,2)
B.(2,1)
C.(5/2,0)
D.(0,2)



11. The value of the expression x4 – 17x3 + 17x2 – 17x + 17 at x = 16 is
A.0
B.1
C.2
D.3
12. If x – 1/x = 5, then x2 + 1/x2 is-
A.5
B.25
C.27
D.23



13. If (2x)(2y) = 8 and (9x)(3y) = 81, then (x,y) is-
A.(1,2)
B.(2,1)
C.(1,1)
D.(2,2)



14. If x = 3 + 2√2, then the value of (√x – 1/√x) is-
A.1
B.2
C.2√2
D.3√3



15. If a = 23 and b = -29 then the value of 25a2 + 40ab + 16b2 is-
A.1
B.-1
C.0
D.2



16. If a/3 = b/2, then value of (2a+3)/(3a-2b) is-
A.12/5
B.5/12
C.1
D.12/7



17. The average of x numbers is y and average of y numbers is x. Then the average of all the numbers taken together is-
A.(x + y)/2xy
B.2xy/(x + y)
C.(x2 + y2)/(x + y)
D.xy/(x + y)



18. If x + 1/4x = 3/2, find the value of 8x3 + 1/8x3.
A.18
B.36
C.24
D.16



19. If x = 4ab/(a + b) & (a≠b), the value of (x + 2a)/(x – 2a) + (x + 2b)/(x – 2b) is –
A.a
B.b
C.2ab
D.2


20. If x = b + c – 2a, y = c + a -2b, z = a + b – 2c, then the value of x2 + y2 – z2 + 2xyz is
A.0
B.a + b + c
C.a – b + c
D.a + b – c