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  • CDS Exam ELEMENTARY MATHEMATICS Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of ELEMENTARY MATHEMATICS Quadratic Equations for CDS Exam student. This free online ELEMENTARY MATHEMATICS study material for CDS Exam will help students in learning and doing practice on Quadratic Equations topic of CDS Exam ELEMENTARY MATHEMATICS. The study material on Quadratic Equations, help CDS Exam ELEMENTARY MATHEMATICS students to learn every aspect of Quadratic Equations and prepare themselves for exams by doing online test exercise for Quadratic Equations, as their study progresses in class. Kidsfront provide unique pattern of learning ELEMENTARY MATHEMATICS with free online comprehensive study material and loads of CDS Exam ELEMENTARY MATHEMATICS Quadratic Equations exercise prepared by the highly professionals team. Students can understand Quadratic Equations concept easily and consolidate their learning by doing practice test on Quadratic Equations regularly till they excel in ELEMENTARY MATHEMATICS Quadratic Equations.


Quadratic Equations
If 3x + 1/2x = 5, then the value of 8x3 1/27 x3 is

a) 118.5
b) 30.37037037
c) 0
d) 1



Answer
Solution
Correct Answer Is : 30.37037037
Solution Is :
If the average of x and 1/x (x Not Equal 0) is M, the the average of x2 and 1/x2 is

a) 1 - M2
b) 1 - 2M
c) 2M2 - 1
d) 2M2 + 1



Answer
Solution
Correct Answer Is : 2M2 - 1
Solution Is :
If a, b and c are real and a2 + b2 + c2 = 2(a - b - c) - 3 then the value of 2a - 3b + 4c is

a) -1
b) 0
c) 1
d) 2



Answer
Solution
Correct Answer Is : 1
Solution Is :
If x + y = z, then the expression x3 + y3 - y3 + 3xyz will be eqal to

a) 0
b) 3xyz
c) -3xyz
d) Y3



Answer
Solution
Correct Answer Is : 0
Solution Is :
If x + 1/x = 5 , then the value of 2x / ( 3x2 - 5x + 3 ) is

a) 2
b) 1 1/5
c) 1/5
d) 3/5



Answer
Solution
Correct Answer Is : 1/5
Solution Is :
If p = 99 , then value of p(p2 + 3p + 3) is

a) 10000
b) 99999
c) 100089
d) 999999



Answer
Solution
Correct Answer Is : 999999
Solution Is : P = 99 = (100-1)
p(p2+3p+3) = (100-1) ( (100-1)2 + 3(100-1) + 3 )
= ( 100 - 1) ( 10000 + 1 - 200 + 300 -3 + 3 )
= (100 -1 ) ( 10101)
= 1010100 - 10101 = 999999
When a = 4/3 , then the value of 27 a3 - 108 a2 + 144a -317 is

a) 261
b) -253
c) -245
d) 0



Answer
Solution
Correct Answer Is : -253
Solution Is :
If x = √3 + √2,then the value of (x+1/x) is

a) 2
b) 3
c) 2√2
d) 2√3



Answer
Solution
Correct Answer Is : 2√3
Solution Is : X = √3 + √2
1/x = 1 / (√3+√2 )
Rationalizing , 1/x = 1/(√3+√2) * (√3-√2)/(√3+√2)
= √3-√2 / (3-2) = √3 - √2
x + 1/x = √3 + √2 + √3 - √2 = 2√3
If x-y=2,xy=24,then the value of ( x2 + y2) is

a) 52
b) 25
c) 36
d) 63



Answer
Solution
Correct Answer Is : 52
Solution Is :
If a3 - b3 = 56 and a-b=2,then value of a 2 + b2 will be

a) 5
b) 48
c) 20
d) 22



Answer
Solution
Correct Answer Is : 20
Solution Is :
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