Register

Recent questions tagged system-of-equations

1 1 vote
0 0 answers
1.7k
1.7k views
CAT 2023 Set-3 | Quantitative Aptitude | Question: 3
For some real numbers $a$ and $b$, the system of equations $x+y=4$ and $(a+5) x+\left(b^{2}-15\right) y=8 b$ has infinitely many solutions for $x$ and $y$. Then, the maxi...
0 0 votes
1 1 answer
2.1k
2.1k views
CAT 2023 Set-3 | Quantitative Aptitude | Question: 3
For some real numbers $a$ and $b$, the system of equations $x+y=4$ and $(a+5) x+\left(b^{2}-15\right) y=8 b$ has infinitely many solutions for $x$ and $y$. Then, the maxi...
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2021 Set-2 | Quantitative Aptitude | Question: 1
Consider the pair of equations: $x^{2} – xy – x = 22$ and $y^{2} – xy + y = 34.$ If $x>y,$ then $x – y$ equals$7$$8$$6$$4$
1 1 vote
1 1 answer
1.9k
1.9k views
CAT 2020 Set-3 | Question: 54
Let $k$ be a constant. The equations $kx + y= 3$ and $4x + ky= 4$ have a unique solution if and only if $|k| \neq 2$$|k| = 2$$k \neq 2$$k= 2$
1 1 vote
1 1 answer
1.8k
1.8k views
CAT 2019 Set-2 | Question: 87
Let $a,b,x,y$ be real numbers such that $a^{2}+b^{2}=25,x^{2}+y^{2}=169$, and $ax+by=65$. If $k=ay-bx$, then$k=0$$0< k\leq \frac{5}{13}$$k=\frac{5}{13}$$k \frac{5}{13}$
0 0 votes
1 1 answer
1.8k
1.8k views
CAT 2015 | Question: 95
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x\leq y$ is __________
0 0 votes
1 1 answer
3.0k
3.0k views
CAT 2003 | Question: 2-78
If $x$ and $y$ are integers then the equation $5x + 19y = 64$ hasno solution for $x < 300$ and $y < 0$no solution for $x 250$ and $y – 100$a solution for $250 < x < 300...
0 0 votes
0 0 answers
1.1k
1.1k views
CAT 2003 | Question: 1-108
Which one of the following conditions must $p, q,$ and $r$ satisfy so that the following system of linear simultaneous equations has at least one solution, such that $p+...
To see more, click for the full list of questions or popular tags.