For the following questions answer them individually
If $$(x^{2} + \frac{1}{x^{2}}) = 7$$, and $$0 < x < 1$$, find the value of $$x^{2} - \frac{1}{x^{2}}$$.
A shopkeeper offers the following discount schemes for buyers on an article:
i. Two successive discounts of 15% each
ii. A discount of 25% followed by a discount of 5%
iii. Two successive discounts of 20% and 10%
iv. A discount of 30%
Under which scheme will the selling price be maximum?
The area of two triangles is in the ratio 5 : 3 and their heights are in the ratio 5 : 7. Find the ratio of their bases.
If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.
Select the most appropriate one-word substitution of the given group of words.
Irreverent behaviour toward anything held sacred or concerning God.
Sentences of a paragraph are given below in jumbled order. Arrange the sentences in the correct order to form a meaningful and coherent paragraph.
A. Many countries throughout the world have achieved full digitalisation.
B. Initially, the entire world transitioned to digitalisation.
C. This type of internet is known as a metaverse.
D. This existing kind of internet technology, which gives us access to various aspects,
is about to change into a better and newer version.
E. The Metaverse is an intriguing technology that has been described as the 'newer version of the internet'.
Select the option that can be used as a one-word substitute for the given group of words.
Huge fire for celebration
Select the most appropriate option that can substitute the underlined segment in the given sentence. If there is no need to substitute it, select 'No substitution required'.
It is reported that she has win a prize money of ten lakhs at a reality show.
Select the option that expresses the given sentence in passive voice.
Joseph opened the Bible.