A small jar contained water, lime and sugar in the ratio of 90:7:3. A glass contained only water and sugar in it. Contents of both(small jar and glass) were mixed in a bigger jar and the ratio of contents in the bigger jar was 85:5:10(water, lime and sugar respectively). Find the percentage of water in the bigger jar?

6 distinct letters are to be placed in 6 distinct addressed envelopes. In how many ways can exactly 3 letters be placed in the wrong envelopes?

Common Description:

Later, I realized that reviewing the history of nuclear physics served another purpose as well: It gave the lie to the naive belief that the physicists could have come together when nuclear fission was discovered(in Nazi Germany!) and agreed to keep the discovery a secret, thereby sparing humankind the nuclear burden. No. Given the development of nuclear physics up to 1938, development that physicists throughout the world pursued in all innocence of any intention of finding the engine of a new weapon of mass destruction—only one of them, the remarkable Hungarian physicist Leo Szilard, took that possibility seriously—the discovery of nuclear fission was inevitable. To stop it, you would have had to stop physics. If German scientists hadn’t made the discovery when they did, British, French, American, Russian, Italian, or Danish scientists would have done so, almost certainly within days or weeks. They were all working at the same cutting edge, trying to understand the strange results of a simple experiment bombarding uranium with neutrons. Here was no Faustian bargain, as movie directors and other naifs still find it intellectually challenging to imagine. Here was no evil machinery that the noble scientists might have hidden from the politicians and the generals. To the contrary, here was a new insight into how the world works, an energetic reaction, older than the earth, that science had finally devised the instruments and arrangements to coax forth. “Make it seem inevitable,” Louis Pasteur used to advise his students when they prepared to write up their discoveries. But it was. To wish that it might have been ignored or suppressed is barbarous. “Knowledge,” Niels Bohr once noted, “is itself the basis for civilization.” You cannot have the one without the other; the one depends upon the other. Nor can you have only benevolent knowledge; the scientific method doesn’t filter for benevolence. Knowledge has consequences, not always intended, not always comfortable, not always welcome. The earth revolves around the sun, not the sun around the earth. “It is a profound and necessary truth,” Robert Oppenheimer would say, “that the deep things in science are not found because they are useful; they are found because it was possible to find them.”

...Bohr proposed once that the goal of science is not universal truth. Rather, he argued, the modest but relentless goal of science is “the gradual removal of prejudices.” The discovery that the earth revolves around the sun has gradually removed the prejudice that the earth is the center of the universe. The discovery of microbes is gradually removing the prejudice that disease is a punishment from God. The discovery of evolution is gradually removing the prejudice that Homo sapiens is a separate and special creation.

Based on the passage, which of the following would the author BEST agree with?

Consider the following Assertion (A) and Reason (R) regarding meaningful sequences:

Assertion (A): In a meaningful sequence, a sentence beginning with "Such a development" can never logically serve as the opening sentence of a paragraph.

Reason (R): The demonstrative adjective "Such" inherently requires a prior antecedent to define the specific development being referenced, making it structurally dependent on a preceding sentence.

Which of the following sentences are grammatically CORRECT?

1. The committee will revert back to you once the decision is finalized.
2. She is prone to catch a cold during the winter months.
3. The CEO availed himself of the opportunity to address the shareholders.
4. We must discuss about the new marketing strategy in tomorrow's meeting.
5. He was accused of stealing the confidential documents.
6. The new policy will come into effect from the next fiscal year.

Assertion (A): Implementing a uniform "Return to Office" (RTO) mandate of 5 days a week for all departments is a classic example of the One-Size-Fits-All Policy Fallacy.

Reason (R): Gen Z employees uniformly reject any policy that requires physical office presence, making RTO mandates inherently discriminatory against them.

Which of the following is correct?

A housing queue has 8 applicants with initial base scores: $10,20,30,40,50,60,70,80$ (in ascending order of their queue position, so the applicant with $10$ is 1st, and $80$ is 8th).

An exception policy allows an applicant to boost their score by $50\%$ of the score of the person immediately ahead of them in the queue, but only if their own initial score is strictly less than $40$. The person immediately ahead then loses $20\%$ of their own initial score. All adjustments are calculated based on the original initial scores and applied simultaneously.

What is the final score of the applicant who was originally 3rd in the queue (initial score $30$)?

Matthew Perry, who died in 2023, was famously known for playing which character in the sitcom called Friends?

Consider the following statements regarding the three pillars of India's economic and corporate landscape:

1. The primary objective of recent GST rationalization efforts is to merge higher tax slabs into lower ones to boost consumption and simplify the tax structure.
2. The Chenab Bridge, a flagship component of the USBRL project, is the world's highest railway suspension bridge.
3. In a strategic corporate name change, the legal entity remains the same, meaning all existing contracts and liabilities automatically persist without the need for novation.

How many of the above statements are strictly correct?

Which of the following animals are depicted on the State Emblem of India?

1. Lion
2. Bull
3. Horse
4. Elephant

Select the correct answer using the code given below: