CAT Questions

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Q's mother is sister of P &  daughter of M.[sex of P and M are not clear]

S is daughter of P and sister of T.  [sex of P and T is not clear]

M's children : Q's mother and P

P's children  :S[female] and T

M is either Grandmother or Grandfather of T

The Logic followed in the given puzzle is :

L x P = 12 x 16 = 192 (Alphabetical numbers of L & P)

P x T = 16 x 20 = 320 (Alphabetical numbers of P & T)

Similarly, K x () = 132 => () = 132/11 = 12 => L

Hence, the missing letter is L

Let the side of the square plot be 'a' ft.
Given area of the plot (a x a) = 289 => a = 17
Length of the fence = Perimeter of the plot = 4a = 68 ft.
Cost of building the fence = 68 x 58 = Rs. 3944.

Here my name "Iron59" means Felix.

Since my father is a chemist he gave code Iron for Fe as chemical symbol for Iron is Fe and my mother is a mathematician she gave 59 for Lix as Roman word for 59 is Lix.

Hence my name is FELIX.

Better is compared with worst and slower must be compared with quickest since fast is the extreme of it.

Hence, Better is to worst as slower is to quickest.

Passing marks are 0.6x 

so 0.3x + 30 = 0.6x   => x = 100

Let us say x boys and x girls joined the group.

(64 + x)/(40 + x) = 4/3

192 + 3x = 160 + 4x => x = 32

Number of members in the group = 64 + x + 40 + x

= 104 + 2x = 168.