Andhra University, Visakhapatnam
Hello aspirant,
In 1926, Andhra University was founded. The total area of the campus is 422 acres. The university's mission is to provide students with the training they need to succeed in the workplace. Different courses in the fields of arts, commerce, management, science and technology, engineering, law, pharmacy, and
Andhra University is one of the oldest universities of India and is well known for its quality education. I would have suggested for you to go ahead with your admission procedures but because it is an online course, I am a bit skeptical about it. A company or
Question : If $x+y+z=1, \frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1,$ and $xyz=-1$, then $x^3+y^3+z^3 $ is equal to:
Option 1: –1
Option 2: 1
Option 3: –2
Option 4: 2
Correct Answer: 1
Solution : Given: $x+y+z=1,\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$, $xyz=-1$ Consider, $\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=1$ ⇒ $xy+yz+zx=xyz=-1$ Now, $x+y+z=1$ ⇒ $(x+y+z)^2=1^2$ ⇒ $x^2+y^2+z^2+2(xy+yz+zx)=1$ ⇒ $x^2+y^2+z^2+2(-1)=1$ ⇒ $x^2+y^2+z^2=3$ We know, $x^3+y^3+z^3-3xyz=(x+y+z)(x^2+y^2+z^2-(xy+yz+zx)$ So, putting all the values, we get, ⇒ $x^3+y^3+z^3-3×(-1)=1×[3-(-1)]$ ⇒ $x^3+y^3+z^3=4-3$ $\therefore x^3+y^3+z^3=1$ Hence, the correct answer is 1.
Question : Direction: Find out the number of all those people who can speak Tamil and Telugu.
Option 1: 3
Option 2: 59
Option 3: 21
Option 4: 112
Correct Answer: 21
Solution : The people who can speak Tamil and Telugu is represented by the region common to the circles representing Tamil and Telugu. The required region is shaded in the venn diagram below –
So, the number of all those people who can speak Tamil and Telugu
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