Algebra Questions for SSC CGL, CHSL, CPO with answers and solutions in English. 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
