For the following questions answer them individually
If (a+ b + c) = 20, and $$a^{2} + b^{2} + c^{2} = 152$$, find the value of $$a^{3} b^{3} + c^{3} - 3abc$$.
The distance between the centres of two circles of radii 2 cm and 6 cm is 5 cm. Find the length of the direct common tangent.
If the price of petrol increased by 7%, then by what percentage should the consumption be decreased by the consumer, if the expenditure on petrol remains unchanged?
A sum of money at a fixed rate of simple interest amounts to ₹1,630 in 3 years and to ₹1,708 in 4 years. Find the sum (inf).
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. The olive tree grows slowly yet lives a long time.
B.The normal lifespan of an olive tree is 300-400 years, but olive trees as ancient as 3000 years have been discovered.
C.The olive is a well-known Mediterranean-native evergreen tree whose fruit and oil are used in cuisine and cooking.
D.As a result, the olive tree is known as the 'immortal tree' in mythology and botany.
Select the option that can be used as a one-word substitute for the given group of words.
A person who enjoys doing dangerous things, in a way that other people may think is stupid.
Parts of the following sentence have been underlined and given as options. Select the option that contains an error.
The Dutta company has not being making new school bags since the lockdown commenced.
Select the most appropriate ANTONYM of the capitalised word in the given sentence.
Taking a BRISK walk can often induce a feeling of well-being.