List of top Quantitative Aptitude Questions on Equations

If \(a^2+b^2=41\) and \(ab=20\), then the value of \(a+b\) is
In each of these questions, two equations (I) and (II) are given. You have to solve both the equations and give answer:
I. \( 14x^2 - (7 + 2\sqrt{2})x + 3.50\sqrt{2} = 0 \)
II. \( \sqrt{(4y + 1)} - \sqrt{(y + 3)} = 2 \)
If \( 3 \log x = 2 \log y = \log x + \log y + 1/5 \), then what is the value of \( xy \)?
If \(\alpha\) and \(\beta\) are the roots of \(x^2 - 5x + 6 = 0\), what is the value of \(\alpha^2 + \beta^2\)?
If \(2x + 3y = 12\) and \(x = 3\), what is the value of y?
Solve for x: \(3x - 7 = 2x + 5\).
If \(x + \dfrac{1}{x} = 4\), then what is the value of \(x^2 + \dfrac{1}{x^2}\)?
Given the quadratic equation \(x^2 – (A – 3)x – (A – 7) = 0\), for what value of A is the sum of squares of the roots 0?
Given the quadratic equation \(x^2 – (A – 3)x – (A – 7) = 0\), for what value of A is the sum of squares of the roots 0?
If \(2^x\) = \(\sqrt[3]{64}\) ,then \(x^2 + x + 1\) = ?
\(\frac{1}{1+y^(b-a)+y^(c-a)}+\frac{1}{1+y^(a-b)+y^(c-b)}+\frac{1}{1+y^(b-c)+y^(a-c)}\)
If 2\(x^2 + 2 <20\);, which of the following cannot be the value of \(x\)?
A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs. 2.60 and each girl Rs. 1.80. Find the number of boys and girls.
Solve the following:-
\((88)^2 + (73)^2 = (?)^2 – (38)^2 – 859\)
Solve the following:-
\(312 × ? × 14 = 157843 + 56189\)
Solve the following:-
\(5389 + 4172 – 3868 – ? = 2456 + 1130\)
The value of expression \(\left\{\frac{x^b}{x^c}\right\}^{(b+c-a)}\) \(\left\{\frac{x^b}{x^c}\right\}^{(b+c=a)}\) \(\left\{\frac{x^b}{x^c}\right\}^{(b+c-a)}\) is
Solve the following:-
\([(156)^2 ÷ 8 × 36] ÷ ? = 117 × 24\)
Solve the following:-
\(88.8 + 8.08 + 0.08 + 88.08 + 0.80 + 888 = ?\)
The question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is 200/3 % more than that of X.
C. The product of the present ages of X and Y is 240 years.
Solve the following:-
\(3870 ÷ ? = 516\)
Which of the following must equal zero for all real numbers x?
(I). x3-x2
(II). x0
(III). x1
In a certain game, each player scores either 2 points or 5 points. If n players score 2 points and m players score 5 points, and the total number of points scored is 50, what is the least possible positive difference between n and m?
Solve the following:-
\((193 – 87) ÷ (1.25 × 2) = ?\)
Solve the following:-
(8.83% of 228) – (2.65% of 104) =?