Exams › SSC CGL (Prelims) › Maths

If $x = 10$ and $y = 2$, what is the value of $x^2 - y^2$?

1. 96
2. 100
3. 98
4. 104

Correct answer: 96

Solution

Substitute the values into the expression: $x^2 - y^2 = 10^2 - 2^2 = 100 - 4 = 96$. So the correct answer is 96.

Related SSC CGL (Prelims) Maths questions

• If $3x + 2y = 10$ and $2xy = 7$, then find the value of $3x - 2y$ if $3x - 2y > 0$.
• If $x+\frac{1}{x}=3$, then the value of $9x^2+\frac{1}{x^2}-1$ is:
• If $x^2 + y^2 = 280$ and $xy = 120$, then find the value of $\frac{x-y}{x+y}$.
• If \(a + \frac{1}{a} = 12\), then find the value of \(a^2 + \frac{1}{a^2}\).
• If the sum of three numbers is 18 and the sum of their squares is 36, then find the difference between the sum of their cubes and three times their product.
• The sum of the squares of two numbers is 100, and their product is 24. What is the sum of the numbers?

⚔️ Practice SSC CGL (Prelims) Maths free + battle 1v1 →