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Arithmetic Aptitude :: Square Root and Cube Root

1. In the polynomial f(x) =2*x^4 - 49*x^2 +54, what is the product of the roots, and what is the sum of the roots (Note that x^n denotes the x raised to the power n, or x multiplied by itself n times)?

Answer: Option A

Explanation:

The given equation is of type ax^4+bx^3+cx^2+dx+e.





Product of roots=(-1)^n*(coeff of constant term/coeff of x^4)= e/a = 54/2 =27



Sum of roots= -(coeff of x^3/coeff of x^4)= -b/a = -0/2=0

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Tags:  TCS

2. If 3√5 + √125 = 17.88, then what will be the value of √80 + 6√5 ?

Answer: Option D

Explanation:

3√5 + √125 = 17.88

3√5 + √(25 * 5) = 17.88

3√5 + 5√5 = 17.88

8√5 = 17.88

√5 = 2.235

√80 + 6√5 = √(16 * 5) + 6√5

= 4√5 + 6√5

= 10√5 = (10 * 2.235) = 22.35

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Tags:  IBM

3. If the product of three consecutive positive integers is 15600 then the sum of the squares of these integers is

Answer: Option D

Explanation:

Here is no explanation for this answer

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4. The minimum possible value of the sum of the squares of the roots of the equation x^2 + (a+3)x - (a-5) = 0 is

Answer: Option C

Explanation:

Here is no explanation for this answer

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