Algebra Questions and Answers for Competitive Exams

Vikram Singh4 years ago 23.0K Views Join Examsbookapp store google play
algebra questions and answers
Q :  

If a+b=2c, find $${a\over a-c}+{c\over b-c}?$$

(A) 2

(B) -1

(C) 0

(D) 1


Correct Answer : D

Q :  

If a, b are rational number and (a-1)√2+3=b√2+a, the value of (a+b) is : 

(A) -3

(B) 5

(C) -5

(D) 3


Correct Answer : B

Q :  

If a-6b = 3 then the value of a3-216b3-54ab is : 

(A) 27

(B) 64

(C) 9

(D) 1


Correct Answer : A

Q :  

if a3b = abc = 180, a, b, c are positive integers, then the value of c is 

(A) 4

(B) 25

(C) 110

(D) 1


Correct Answer : D

Q :  

If  $$\sqrt{a}+\sqrt{b}=15 \ and \ (\sqrt{a}-\sqrt{b} )=3$$ then the value of $$\sqrt{ab/4} $$ is 

(A) $$27\over 2$$

(B) 5

(C) 6

(D) 7


Correct Answer : A

Q :  

If for two real constants a and b the expression ax3+3x2-8x+b is exactly divisible by (x+2) and (x-2), then 

(A) a = 2, b = -12

(B) a = -2, b = 12

(C) a = 2, b = 12

(D) a = 12, b = 12


Correct Answer : A

Q :  

Find the minimum value of x which the expression  
x3-7x2+11x - 5 ≥ 0.

(A) 1

(B) - 3

(C) 0

(D) 5


Correct Answer : A

Q :  

If x = b+c -2a, y=c+a-2b, z=a+b-2c, then the value of x2+y2-z2+2xy is : 

(A) a-b+c

(B) a+b-c

(C) 0

(D) a+b+c


Correct Answer : C

Q :  

Find the value of a and b if (x-1) and (x+1) are factors of x4+ax3-3x2+2x+b

(A) -2, 2

(B) 1, -1

(C) 2, -1

(D) -2, 1


Correct Answer : A

Q :  

If x2+y2-4x-4y+8=0, then the value of x-y is: 

(A) 0

(B) 8

(C) 4

(D) -4


Correct Answer : A

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    Vikram Singh

    Providing knowledgable questions of Reasoning and Aptitude for the competitive exams.

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