Analyst Questions

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.

let x be the correct answer and y be the wrong answer
so the total number of questions is (x + y) = 150.....(1)
=> 4x - 2y = 420.....(2)
By solving (1) & (2), we get
=> 6x = 720
hence x = 120
Therefore, number of correct answers are 120.

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.  

Cytoplasm does not contains all the organelles.

Any integer 'i' can be written as i = i/1, which is a rational number. Clearly, 7/2,-5/4, etc... are rational numbers but they are not integers.

Hence, from the above analysis, every integer is a rational number but a rational number need not be an integer.

Therefore the given statement that 'Every rational number is an integer' is FALSE.

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.

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.