List of top Quantitative Aptitude Questions on Algebra

Sum of squares of two numbers is 3341 and difference is 891. Find numbers.

Two trains meet. After meeting reach in 4h and 9h. Find speed ratio.

Salaries ratio 2:3. After adding Rs.4000 each \(\rightarrow\) ratio 40:57. Find Jimmy's salary.

If \( 2x + 3 = 11 \), what is the value of \( x \)?

The sum of all distinct real values of x that satisfy the equation \(10^x + \frac{4}{10^x} = \frac{81}{2}\)  is

If $(a + b\sqrt{3})^2 = 52 + 30\sqrt{3}$, where $a$ and $b$ are natural numbers, then $a + b$ equals ?

A shop wants to sell a certain quantity (in kg) of grains. It sells half the quantity and an additional 3 kg of these grains to the first customer. Then, it sells half of the remaining quantity and an additional 3 kg of these grains to the second customer. Finally, when the shop sells half of the remaining quantity and an additional 3 kg of these grains to the third customer, there are no grains left. The initial quantity, in kg, of grains is

Let $x$, $y$, and $z$ be real numbers satisfying
\(4(x^2 + y^2 + z^2) = a,\)
\(4(x - y - z) = 3 + a.\)
Then $a$ equals ?

If $(a + b\sqrt{n})$ is the positive square root of $(29 - 12\sqrt{5})$, where $a$ and $b$ are integers, and $n$ is a natural number, then the maximum possible value of $(a + b + n)$ is ?

If x and y satisfy the equations |x| + x + y = 15 and x + |y| − y = 20, then (x − y) equals

If \( x \) and \( y \) satisfy the equations
\(|x| + x + y = 15 \quad \text{(1)},\)
\(x + |y| - y = 20 \quad \text{(2)}.\)
Find the value of \( x - y \).

The number of distinct real values of x, satisfying the equation max{x, 2} - min{x, 2} = |x + 2| - |x - 2|, is

If \(3^a = 4, 4^b = 5, 5^c = 6, 6^d = 7, 7^e = 8 \) and  \(8^f = 9\),  then the value of the product \(abcdef\)  is

The number of distinct integer solutions (x, y) of the equation |x + y| + |x - y| = 2, is

\(\sqrt{x + 6\sqrt{2}} - \sqrt{x - 6\sqrt{2}} = 2\sqrt{2}.\)
Find \( x \).

If \(x+\frac{1}{x}=4\), find the value of \(x^2+\frac{1}{x^2}\).

In the equation, 220032/\(\sqrt{x}\) = 1528 than the value of \(x + 2x = ?\)