CAT Questions

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Let the numbers be a and b.
We know that product of two numbers = Product of their HCF and LCM
Then, a + b = 55 and ab = 5 x 120 = 600.
=> The required sum = (1/a) + (1/b) = (a+b)/ab
=55/600 = 11/120

A team of scientists led by Abhay Mudholkar, from CSIR-National Institute of Oceanography (CSIR-NIO) in Goa on February 17, 2017 informed that India’s only live volcano, the barren island volcano in the Andaman and Nicobar Islands has started erupting smoke and lava again. The Barren Island volcano last erupted in 1991 after lying dormant for 150 years. Again the volcano has started showing sporadic activity in small intervals of 5-10 minutes. As per the scientists, during the day only ash clouds were observed, but after sunset red lava foundations were erupting from the crater into the atmosphere and hot lava streamed down the slopes.

% of milk in first bottle = 64%

% of milk in second bottle = 100 - 26 = 74%

Now, ATQ

64%            74%
         

         68%

6                    4

Hence, by using allegation method,

Required ratio = 3 : 2

There are total 5 ways.
we have only one kg of weight so,
2kg = 1kg + 1kg
4kg = 1 + 2 + 1
8kg = 1 + 2 + 4 + 1
16kg = 1 + 2 + 4 + 8 + 1
31kg = 1 + 2 + 4 + 8 + 16
So 5 weights are needed.

55 min. spaces are covered in 60 min.
60 min. spaces are covered in ((60/55) x 60) min = 720/11 min.
Loss in 65 min. = (720/11 - 65 ) = 5/11
Loss in 24 hrs = (5/11 x 1/65 x 24 x 60)min = 1440/143 min.

Here Homologous Means having the same relation or relative position or structure. 

Here in snakes poison is in glands and here salivary glands are in Vertebrates.

Here Pen is a tool which is used to write and poet uses it. Then, the needle is a tool which is used to stitch and it is used by Tailor. Except tailor, none of the other options is a person to use it.

Hence, Pen : Poet :: Needle : Tailor