CAT Questions

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A Pythagorean triple consists of three positive integers a, b, and c, such that a² + b² = c².

Here we know, that 3, 4, 5 are pythagorean triplets as 25 = 9 + 16. Hence, its multiple will also be a pythagorean triple.

In the options given, (3 x 11 , 4 x 11 , 5 x 11) = 33, 44, 55 is a pythagorean triplet.  

The given word HAPPYHOLI has 9 letters

These 9 letters can e arranged in 9! ways.

But here in the given word letters H & P are repeated twice each

Therefore, Number of ways these 9 letters can be arranged is 

9!2! x 2! = 9 x 8 x 7 x 6 x 5 x 4 x 32 = 90,720 ways.

IPR's stands for Intellectual Property Rights. Intellectual property is the product of the human intellect including creativity concepts, inventions, industrial models, trademarks, songs, literature, symbols, names, brands,....etc.

Sound intensity or level is measured by a unit called a decibel. An 85 decibel noise level is not a safe standard for the public.

Hence, Acceptable noise level for human ear is less than 85 db.

The term panda bond refers to an indenture issued in China, in Chinese renminbi, by a foreign bank or corporation. The Pakistan cabinet approved the issuance of the maiden renminbi-denominated 'Panda Bonds' during its meeting presided over by Prime Minister.

Lord Ripon was the Viceroy of India from 1880 to 1884. He introduced Local Bodies (Local Self Governance) in 1882 and showed the taste of independence to Indians.

A deposit in transit is cash (currency, coins, checks, electronic transfers) that a company has received and is rightfully reported as Cash on its balance sheet, but does not appear on the bank statement until a later date.