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?
If the LCM and the HCF of two numbers are 12 and 2 respectively, then find the mean proportional of these numbers.
General English
Select the most appropriate one-word substitution of the given group of words.
Irreverent behaviour toward anything held sacred or concerning God.
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.
she will won
she had win
No substitution required
she has won