List of practice Questions

A rectangular field is 40 meters long and 30 meters wide. Draw diagonals on this field and then draw circles of radius 1.25 meters, with centers only on the diagonals. Each circle must fall completely within the field.
Any two circles can touch each other but should not overlap. What is the maximum number of such circles that can be drawn in the field?

Consider the four variables A, B, C and D and a function Z of these variables, Z=15A\(^2\)-3B\(^4\)+C+0.5D It is given that A, B, C and D must be non-negative integers and that all of the following relationships must hold:
i) \(2A+B\leq2\)
ii) \(4A+2B+C\leq12\)
iii) \(3A+4B+D\leq15\)
If Z needs to be maximised, then what value must D take?

X, Y and Z start a web-based venture together. X invests Rs. 2.5 lakhs, Y invests Rs. 3.5 lakhs, and Z invests Rs. 4 lakhs. In the first year, the venture makes a profit of Rs. 2 lakhs. A part of the profit is shared between Y and Z in the ratio of 2:3, and the remaining profit is divided among X, Y and Z in the ratio of their initial investments. The amount that Z receives is four times the amount that X receives. How much amount does Y receive?

Ashok has a bag containing 40 cards, numbered with the integers from 1 to 40. No two cards are numbered with the same integer. Likewise, his sister Shilpa has another bag containing only five cards that are numbered with the integers from 1 to 5, with no integer repeating. Their mother, Latha, randomly draws one card each from Ashok’s and Shilpa’s bags and notes down their respective numbers. If Latha divides the number obtained from Ashok’s bag by the number obtained from Shilpa’s, what is the probability that the remainder will not be greater than 2?

What is the remainder if \(19^{20}\)-\(20^{19}\) is divided by 7?

In which state was the first ever environmental referendum held?

What did India commit to achieve under the Paris Climate Agreement (2015) as outlined in its Intended Nationally Determined Contributions report submitted to the UNFCCC?

Which deer is also known as “the dancing deer” of Manipur?

Which Indian bank was the FIRST to issue “Green Bonds” for financing renewable and clean energy projects?

Malfunction of which of the following organs is the MOST common cause of vertigo?

Margaret Atwood and Bernardine Evaristo have been recently awarded with:

In which Indian state did president Ram Nath Kovind serve as Governor?

Which Indian startup was acquired by Walmart?

Which organization’s mascot was R.K. Lakshman’s “the common man”?

Which is the largest landlocked salt water lake in India?

What does the“Earth Overshoot Day”indicate?

Match the following folk theater forms with their associated states:

A.	Therukoothu	P.	Odisha
B.	Koodiyattam	Q.	Maharashtra
C.	Bhavai	R.	Kerala
D.	Tamasha	S.	Tamil Nadu
E.	Jatra	T.	Gujarat

Omuamua is:

In which Indian state is Sriharikota located?

What does the book"Silent Spring"(1962)by Rachel Carson highlight?

“Rakhigarhi” is associated with:

When Coca Cola exited India, which cola brand was created and marketed by the Government of India to provide jobs to those who earlier were employed by Coca Cola?

Which of the following rivers does not cross international borders?

The phrase“How dare you?”is BEST associated with:

Which Indian state enjoys special provisions under Article 371(D)?