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Recent questions tagged system-of-equations

1 votes
1 answer
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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 $7$ $8$ $6$ $4$
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$$4$
1 votes
1 answer
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CAT 2020 Set-3 | Question: 54
Let $k$ be a constant. The equations $kx + y= 3$ and $4x + ky= 4$ have a unique solution if and only if $|k| \neq 2$ $|k| = 2$ $k \neq 2$ $k= 2$
Let $k$ be a constant. The equations $kx + y= 3$ and $4x + ky= 4$ have a unique solution if and only if $|k| \neq 2$$|k| = 2$$k \neq 2$$k= 2$
1 votes
1 answer
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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 $k=0$ $0< k\leq \frac{5}{13}$ $k=\frac{5}{13}$ $k> \frac{5}{13}$
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 votes
1 answer
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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 __________
The number of solutions of the equation $2x+y=40$ where both $x$ and $y$ are positive integers and $x\leq y$ is __________
0 votes
1 answer
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CAT 2003 | Question: 2-78
If $x$ and $y$ are integers then the equation $5x + 19y = 64$ has no solution for $x < 300$ and $y < 0$ no solution for $x > 250$ and $y > – 100$ a solution for $250 < x < 300$ a solution for $– 59 < y < – 56$
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 < 3...
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