GATE Questions

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Orkut’s creator Buyukkokten has launched a new social network called Hello, which is available on mobile only. The Hello.com app is available on Android and iOS in the following countries: US, Canada, Britain, France, Australia, Brazil, Ireland. Germany, Mexico and India are next on the list and the app should be available this month.

Let the integer be x. Then,

x2 - 20x = 96

(x + 4)(x - 24) = 0

x = 24

From the given data,

The part of honey in the first mixture = 1/4

The part of honey in the second mixture = 3/4

Let the part of honey in the third mixture = x

Then,

1/4             3/4

           x

(3/4)-x     x-(1/4) 

Given from mixtures 1 & 2 the ratio of mixture taken out is 2 : 3

=> 34-xx-14=23

=> Solving we get the part of honey in the third mixture as 11/20

=> the remaining part of the mixture is water = 9/20

Hence, the ratio of the mixture of honey and water in the third mixture is 11 : 9 .

C.P. of 50 kg rice = Rs. (36 x 20 + 14 x 36) = Rs. (720 + 504) = Rs.1224.  

S.P. of 56 kg rice = Rs. (50 x 30) = Rs.1500.

Profit = 1500 - 1224 = Rs.276 

Profit % = ProfitC.P×100  = 2761224×100 = 22.54%.

Ratio of investments of A, B & C =>

Share of C = 1530

Share of B = 765

Share of A = 1020

Here If you notice the difference, There is no question mark (?) at the end of the puzzle.

In that case, "What" is the name of the 5th child.

Let Anushka age = X
Charu latha 12 yrs older than Anushka so Charu latha age = x+12
Kajal is thrice as old as Anushka so Kajal age = 3x
The ages of Anushka, Kajal and Charu latha together are 57 years
i.e x + (x+12) + 3x = 57
=> 5x = 45
:- x = 9
Anushka age = 9
Kajal age = 3x = 27
Charu latha age = x+12 = 21