CAT Questions

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Let the side of the square be x. Then, its diagonal = 2x.  

Radius of incircle = x/2  and radius of circumcircle =2x2 .

Therefore, required ratio = πx24:πx22 = 14:12=1:2

Let the salaries of Maneela and Shanthi one year before be M1, S1 & now be M2, S2 respectively.

Then, from the given data,

M1/S1 = 3/4  .....(1)

M1/M2 = 4/5 .....(2)

S1/S2 = 2/3  .....(3)

and M2 + S2 = 4160  .....(4)

Solving all these eqtns, we get M2 = Rs. 1600.

A Kangaroo is what jumps when walking and sit when it is in standing.

The 3 states are Andhra Pradesh, Karnataka and Odisha.

Given 5x - 6 = 3x - 8

5x - 3x = -8 + 6

2x = -2

=> x = -1.

What has one eye yet cannot see is An Eye of a Needle.

A needle has an eye through which we thread it but it is not for seeing.

(385/1001) = 5/13

First Number is 5

=> Fourth number is 13 

Ratio of shares of A,B,C = (24 x 4) : (10 x 6) : (56 x 5)

                                    = 96 : 60 : 280.

Let total rent be Rs. x. Then, A's share = Rs.96x436

 ∴96x436=960 ⇔x=960×43696=4360

Hence total rent of the field is Rs. 4360.