CAT Questions

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2172+1832

= 200+172+200-172

It is in the form of a+b2+a-b2=2a2+b2

= 2(40000 + 289) = 80578.

volume = a3 = 729;

=> a = 9

surface area= 6a2 =  (6 x 9 x 9) = 486 sq.cm

Total number of students in the class = 28 + 6 i.e, from top(7-1)

28 + 6 = 34  

When water freezes its density decreases.

Water at ordinary temperatures contracts and increases in density as it is cooled, like most substances. But at about 4°C it reaches a maximum density and then decreases in density as it approaches the freezing point.

Given mixture = 48 lit

Milk in it = 48 x 5/8 = 30 lit

=> Water in it = 48 - 30 = 18 lit

Let 'L' lit of water is added to make the ratio as 3:5

=> 30/(18+L) = 3/5

=> 150 = 54 + 3L

=> L = 32 lit.

Here the relation between the given words is that the first word is the National animal of the second word.

As Peacock is the national bird of India, similarly Bear is the national animal of Russia.

Hence, Peacock : India :: Bear : Russia.

A Lobster is one which goes black in water and comes out red.

The figure may be labelled as shown 

Triangles :

The Simplest triangles are BGM, GHM, HAM, ABM, GIN, IJN, JHN, HGN, IKO, KLO, LJO, JIO, KDP, DEP, ELP, LKP, BCD and AFE i.e 18 in number

The triangles composed of two components each are ABG, BGH, GHA, HAB, HGI, GIJ, IJH, JHG, JIK, IKL, KLJ,LJI, LKD, KDE, DEL and ELK i.e 16 in number.

The triangles composed of four components each are BHI, GJK, ILD, AGJ, HIL and JKE i.e 6 in number.

Total number of triangles in the figure = 18 + 16 + 6 =40.

Squares :

The Squares composed of two components each are MGNH, NIOJ, and OKPL i.e 3 in number

The Squares composed of four components each are BGHA, GIJH, IKJL and KDEL i.e 4 in number

Total number of squares in the figure = 3 + 4 =7