Algebra Questions and Answers for Competitive Exams
Important Algebra Questions and Answers
Q : Sum of the factors of 4b2c2-(b2+c2-a2)2 is :
(A) 0
(B) 1
(C) a+b+c
(D) 2(a+b+c)
Correct Answer : D
If a+b+c=15 and a2+b2+c2=83 then the value of a3+b3+c3-3abc
(A) 190
(B) 210
(C) 200
(D) 180
Correct Answer : D
If a-b=1 and a3-b3=61, then the value of ab will be
(A) 30
(B) 60
(C) -20
(D) 20
Correct Answer : D
If x = a - b, y = b - c, z = c - a, then the numerical value of the algebraic expression x3 +y3 + z3 -3xyz will be
(A) 4 (a+b+c)
(B) 3 abc
(C) a + b + c
(D) 0
Correct Answer : D
If p=99, then the value of p(p2+3p+3) will be
(A) 1000001
(B) 999998
(C) 999999
(D) 1000000
Correct Answer : C
If a=34, b=c=33, then the value of a3+b3+c3-3abc is
(A) 50
(B) 100
(C) 0
(D) 111
Correct Answer : B
If a\b + b\a =1, then the value of a3+b3 will be
(A) -1
(B) 2
(C) 1
(D) 0
Correct Answer : D
If a+b = 1 and a3+b3+3ab=k, then the value of k is :
(A) 5
(B) 7
(C) 1
(D) 3
Correct Answer : C
What will be the value of x3+y3+z3-3xyz when x+y+z=9 and x2+y2+z2=31?
(A) 54
(B) 9
(C) 27
(D) 3
Correct Answer : A
If $$64^{x+1}={64\over 4^x}$$, then the value of x
(A) $$1\over 2$$
(B) 2
(C) 1
(D) 0
Correct Answer : D
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Vikram Singh
Providing knowledgable questions of Reasoning and Aptitude for the competitive exams.
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