Algebra Questions for SSC CGL

Algebra Questions for SSC CGL, CHSL, CPO with answers and solutions. Maths MCQs Mock Test for online practice of Competitive Exams.

Quiz : Algebra
Subject : Mathematics
Solved Objective Questions from the previous year papers

 

Results

#1. If \frac{2p}{p^2 -2p + 1} =\frac14 , the value of (p+\frac1p )is

#2. If a, b, c are real numbers and a^2 + b^2 + c^ 2 = 2 (a − b − c) − 3, then the value of a + b + c is

#3. If a =\dfrac{\sqrt{x+2}+\sqrt{x-2}}{\sqrt{x+2}-\sqrt{x-2}} , then the value of ({a}^2-ax ) is

#4. If a^2 + b^2 + c^2 = ab + bc + ca, then the value of \frac{a+ c }{b} is

#5. 9x^2+25-30x can be expressed as the square of

#6. If \frac{a}{b} +\frac {b}{a} = 2 , then the value of (a – b) is

#7. If \sqrt {y} = 4x , then \frac{x^2}{y} is

#8. If a + b = 1, c + d = 1 and a – b = \frac{d}{c} , then the value of {c^2} -{d^2} is :

#9. If (x-2) is a factor of x^2+3Qx-2Q , then the value of Q is :

#10. If a^2 + b^2 = 5ab , then the value of (\frac{a^2}{b^2} +\frac{b^2}{a^2}) is

#11. If a^2-4a-1 = 0 , then the value of a^2+\frac{1}{a^2}+3a-\frac{3}{a} is

#12. If x^2-y^2 = 80 and x-y = 8 , then the average of x and y is

#13. If x-\frac{1}{x} = 5 , then x^2+\frac{1}{x^2} is

#14. If x^2+y^2-4x-4y+8 = 0 , then the value of x-y is

#15. If x^2+ y^2 +2x + 1 = 0 , then the value of x^{31} + y^{35} is

#16. If x-y = 2 and x^2+y^2 = 20 , then the value of (x+y) ^2 is

#17. If n +\frac{2}{3}n +\frac {1}{2}n +\frac{1}{7}n = 97 , then the value of n is :

#18. If x^{x \sqrt{x}} = (x\sqrt{x})^x , then x equals

#19. If p^3-q^3 = ( p-q) {\{(p+q)^2-xpq}\} , then the value of x is

#20. If x+y+z = 6 , then the value of (x-1)^3+(y-2)^3+(z-3)^3 is

#21. If x^2+y^2+z^2 = 2 (x+z-1) , then the value of x^3+y^3+z^3 is

#22. If x+y+z = 6 and xy+yz+zx = 10 , then the value of x^3+y^3+z^3-3xyz is

#23. The simplified value of the following is : (\frac{3}{15} a^5 b^6 c^3 \times \frac{5}{9} ab^5 c^4) \div\frac {10}{27} a^2 bc^3

#24. If x = 6 + \frac{1}{x} , then the value of x^4 +\frac{1}{x^4} is

#25. If x (x-3) =-1 , then the value of x^3 (x^3-18) is

#26. If x+\frac{1}{x} = 3 , then the value of \frac{3x^2+4x+3}{x^2-x+1} is

#27. If x^3 + y^3 = 35 and x + y = 5 , then the value of \frac {1}{x} +\frac{1}{y} will be

#28. If x = a (b-c), y = b(c-a) and z = c (a-b) , then (\frac{x}{a})^3+(\frac{y}{b})^3+(\frac{z}{c})^3 =

#29. If a/b = 1/2, then find the value of the expression (2a − 5b)/(5a + 3b)

#30. If x^2 + 9y^2 = 6xy , then x : y is

#31. If A : B = 1 : 2, B : C = 3 : 4 and C : D = 5 : 6, find D : C : B : A

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