CAT Questions

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     CP : MP = 2x : 3x

 => Profit = x

( %) profit : (%) discount = 3:2

Let  CP = 2000,  SP = 300

But  3x100×200 + 2x100×300 = 100

=>  x = 8.33%

Discount 2x = 16.66% 

A can do the work = 18 days
B can do the work = 18/2 = 9 days
(A + B)'s 1 day work = 1/18 + 1/9 = 1/6
=> In 3 days = 3x1/6 = 1/2 work is completed.

CP = 100, SP (with tax) =120

New   SP = 100 - 5 = 95

 Effective discount = 120 - 95 = 25 

So, at SP of 95 ----> discount = 25

and      at SP of 3325 -----> discount = 2595×3325 = 875

2500 in 5th year and 3000 in 7th year
So in between 2 years Rs. 500 is increased => for a year 500/2 = 250
So, per year it is increasing Rs.250 then in 5 years => 250 x 5 = 1250
Hence, the initial amount must be 2500 - 1250 = Rs. 1250

The given figure can be labelled as :

Straight lines :

The number of straight lines are 19

i.e. BC, CD, BD, AF, FE, AE, AB, GH, IJ, KL, DE, AG, BH, HI, GJ, IL, JK, KE and DL.

The number of points of intersection of 37 lines is C237. But 13 straight lines out of the given 37 straight lines pass through the same point A.

Therefore instead of getting C213 points, we get only one point A. Similarly 11 straight lines out of the given 37 straight lines intersect at point B. Therefore instead of getting C211 points, we get only one point B.

 Hence the number of intersection points of the lines is C237-C213-C211 +2 = 535

Blueberries are the saddest fruits.

Reason ::

In English some colors are associated with feelings. Blue is associated with sadness. When you "feel blue" it means that you are feeling sad.

Hence, as blueberries has blue in its name it indicates that that is the saddest fruit in logic.

From the directions given : 

From the fig. it is clear that 

1) neighbours of B are G , H.

2) E is facing H.