Quadratic Equation Questions and Answers
If α and β are the roots of the equation x2 + x - 1 = 0, then what is the equation whose roots are and α5 and β5 ?
(A) $$x^2 - 11x - 1 = 0 $$
(B) $$x^2 + 11x - 1 = 0$$
(C) $$x^2 + 7x - 1 = 0 $$
(D) $$x^2 - 7x- 1 = 0 $$
Correct Answer : B
If one root of the equation $$ {Ax^2+Bx+C=0}$$ is two and a half times the others, then which of the following is True?
(A) $$ {7B^2=3CA}$$
(B) $$ {7B^2=4CA}$$
(C) $$ {7B^2=36CA}$$
(D) $$ {10B^2=49CA}$$
Correct Answer : D
Factor of $$ {12x^{2}+7y^{2}-12}$$ is__
(A) (4y+3)
(B) (3y-4)
(C) (4y-3)
(D) (3y+2)
Correct Answer : C
$$ ({2+\sqrt{5}})$$ and $$ ({2-\sqrt{5}})$$ is a quadratic equation with roots.
(A) $$ {x^{2}-3x-4=0}$$
(B) $$ {x^{2}+3x-4=0}$$
(C) $$ {x^{2}-3x+4=0}$$
(D) $$ {x^{2}+3x+4=0}$$
Correct Answer : A
If x1 and x2 are the roots of the equations bx2-ax + log2my=0 such that x12=a2+x22 then evaluate the roots in terms of a and b.
(A) $$ {a\over2ab}{(a^{2}+1)},{a\over2ab}{(1-b^{2})}$$
(B) $$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-a^{2})}$$
(C) $$ {a\over2ab}{(b^{2}-1)},{a\over2ab}{(1-b^{2})}$$
(D) $$ {a\over2b}{(b^{2}+1)},{a\over2b}{(1-b^{2})}$$
Correct Answer : A
4 men can complete a piece of work in 2 days. 4 women can complete the same piece of work in 4 days whereas 5 children can complete the same piece of work in 4 days. If 2 men, 4 women, and 10 children work together, in how many days can the work be completed?
(A) 1 day
(B) 3 days
(C) 2 days
(D) 4 days
Correct Answer : A
If a : 5 = b : 7 = c : 8, then (a + b + c)/a is equal to
(A) 2
(B) 4
(C) 7
(D) 1/4
Correct Answer : B
(Smallest common multiple of 36 and 60) ÷ (Biggest common factor of 18 and 45) is equal to?
(A) 40
(B) 10
(C) 20
(D) 30
Correct Answer : C
Express 15625 as a power of 5?
(A) $$4^5$$
(B) $$5^6$$
(C) $$5^5$$
(D) $$6^5$$
Correct Answer : B
In equation $$ {x^{2}-24x+k=0}$$ the first root is x=2 then find out the second root of equation.
(A) x=-22
(B) x=12
(C) x=22
(D) x=-12
Correct Answer : C
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Rajesh Bhatia
A Writer, Teacher and GK Expert. I am an M.A. & M.Ed. in English Literature and Political Science. I am highly keen and passionate about reading Indian History. Also, I like to mentor students about how to prepare for a competitive examination. Share your concerns with me by comment box. Also, you can ask anything at linkedin.com/in/rajesh-bhatia-7395a015b/.
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