For the following questions answer them individually
A retailer announces a discount of 30% for selling an air-conditioner marked at ₹92,000. The cost price of the air-conditioner is 70% below the marked price. He offers a further discount of 20% if the buyer presents his membership card of the retailer's store. The profit of the retailer with the membership card scheme is what percentage of the profit of the retailer without the membership card scheme?
If $$\left(x - \frac{1}{x}\right) = 2\sqrt{2}$$, and $$x > 1$$, what is the value of $$\left(x^6 - \frac{1}{x^6}\right)$$?
If $$\left(2y + \frac{2}{y}\right) = 7$$, find the value of $$\left(y^2 + \frac{1}{y^2}\right)$$.
The slant height of a cone is 10 cm, and the radius is 6 cm. What is the total surface area of the cone? Take $$\pi = 3.14$$
Select the most appropriate meaning of the given idiom.
It is raining cats and dogs means:
Select the most appropriate ANTONYM of the underlined word.
He was quite violent in his behavior.
Select the most appropriate ANTONYM of the underlined word in the given sentence to fill in the blank.
We usually had ______________ visitors dropping by, but now we have very less visitors.
Select the most appropriate option that can substitute the underlined segment in the given sentence.
The man was convicted for murder by the jury but he is not committed it.
The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Hardik's horoscope says / that the stars / will be exercised / a benign influence on his life.