CAT Questions

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We know that, 

The area of a triangle with two sides given and included angle

A = 1/2 x product of sides x Sin(angle) 

Here the two sides are 8 & 12

Angle = 150

Area = 1/2 x 8 x 12 x sin150

Sin(150) = sin(90+60) = cos(60) = 1/2

A = 48 x 1/2 = 24

Area of the given triangle = 24 sq units.

circumference of A = 2πr = 8 => so r = 4π
volume = π×4π2×10 = 160π
circumference of B = 2πr   = 10 => so r = 5π
volume = π×5π2×8 =  200π
so ratio of capacities = 160/200 = 0.8
so capacity of A will be 80% of the capacity of B.

The DSM is the Diagnostic and Statistical Manual of Mental Disorders. Its primary pupose is to help the mental health professionals like psychiartists, psycologists, etc... to treat mental illnesses. The DSM is published by the APA, American Psychiatric Association.

Let the present ages of the mother and daughter be 2x and x years respectively.
Then, (2x - 18) = 3(x - 18) => x = 36
Required sum = (2x + x) = 108 years.

Pathogenic bacteria cause the greatest harm in the food industry.

Neon is the element that is used in bright flashing advertising signs as Neon particulary gives bright color.

The Yarlung Zangbo river in India is known as Brahmaputra. The river Brahmaputra in China is called Yarlung Tsangpo or Yarlung Zangbo river. In Assam and Arunachal Pradesh it is called Lohit or luit meaning blood.

The Brahmaputra is one of the major rivers of Asia, a trans-boundary river which flows through China, India and Bangladesh.

Given word is SCOOTY

ATQ,

Except S & Y number of letters are 4(C 2O's T)

Hence, required number of arrangements = 4!/2! x 2! = 4!

= 4 x 3 x 2

= 24 ways.