Algebra Questions and Answers for Competitive Exams
Algebra is an important topic of mathematics, under which symbols are used instead of numbers. Also, this topic is also very important from the point of view of various competitive examinations, because the questions related to it are asked in every government examination.
Algebra is based on solving the equation of variables, constants, and extracting the values of variables. Algebra does not consist only of equations, polynomials, fractions, infinite product, number sequence, quadratic or form, new types of numbers like numerology, arithmetic, etc. are studied in many subjects.
If you too are preparing for any competitive exam, then you can evaluate your exam preparation by solving the questions based on the algebra provided here and practice as much as possible for better results.
Important Algebra Questions and Answers
Q : If a ≠ b, then which of the following statement is true ?
(A) $${a+b\over 2}= \sqrt{ab} $$
(B) $${a+b\over 2}> \sqrt{ab} $$
(C) $${a+b\over 2}< \sqrt{ab} $$
(D) All of the above
Correct Answer : B
If $$p×q=p+q+{p\over q}$$, the value of 8 × 2 is :
(A) 14
(B) 16
(C) 6
(D) 10
Correct Answer : A
If $$n+{2\over 3}n+{1\over2}n+{1\over7}n=97$$ then the value of n is :
(A) 44
(B) 46
(C) 40
(D) 42
Correct Answer : D
Two numbers x and y (x>y) such that their sum is equal to three times their difference. Then value of $$3xy\over 2(x^2-y^2$$ will be
(A) $$1{1\over 2} $$
(B) $$1{1\over 3} $$
(C) $$ {2\over 3}$$
(D) 1
Correct Answer : D
If 5√x + 12√x = 13√x, then x is equal to:
(A) 9
(B) 16
(C) $${25\over4}$$
(D) 4
Correct Answer : D
If a = 7, b = 5 and c = 3, then the value of $$a^2+b^2+c^2-ab-bc-ca$$ is
(A) 0
(B) 8
(C) 12
(D) -12
Correct Answer : C
If $${\sqrt{7-2}\over\sqrt{7+2}}=a\sqrt{7}+b$$, then the value of a is :
(A) $${4\over3}$$
(B) $${-4√7\over3}$$
(C) $${11\over2}$$
(D) $$-{4\over3}$$
Correct Answer : D
If x, y are two positive real number and $$x^{1/3}=y^{1/4}$$, then which of the following relations is true?
(A) $$x=y^3$$
(B) $$x^{20}=y^{15}$$
(C) $$x^3=y^4$$
(D) $$x^3=y$$
Correct Answer : B
If x is real then the minimum value of (x2-x-1) is :
(A) 1
(B) $$-{5\over 4}$$
(C) $$3\over 4 $$
(D) 0
Correct Answer : B
If a2x+2=1, where a is a positive real number other than 1, then x is equal to
(A) 0
(B) 1
(C) – 2
(D) – 1
Correct Answer : D
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Vikram Singh
Providing knowledgable questions of Reasoning and Aptitude for the competitive exams.
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