Question : What is the value of (3x³ + 5x²y + 12xy² + 7y³), when x = – 4 and y = – 1?

Option 1: – 329

Option 2: – 359

Option 3: – 361

Option 4: – 327

Question : If $xy = -6$ and $x^3+ y^3= 19$ ($x$ and $y$ are integers), then what is the value of $\frac{1}{x^{–1}}+\frac{1}{y^{–1}}$?

Option 1: –1

Option 2: –2

Option 3: 1

Option 4: 2

Question : If the HCF of xy³, x² y, and x³ y⁴ is xy, then their LCM is________.

Option 1: x³ y⁴

Option 2: x³ y³

Option 3: x⁴ y³

Option 4: x⁴ y⁴

Question : If $x+y+z=0$ and $x^2+y^2+z^2=40$, then what is the value of $x y+y z+z x?$

Option 1: –20

Option 2: 5

Option 3: –5

Option 4: –10

Question : If $4x–7y=3$ and $2x–y=9$, then the value of $(x–y)$ is:

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 6