GRE Questions

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This is only possible when that doctor is boy's mother.

We know that,  Speed = Distance/time

Let the speed of the train be = x kmph

           NORMAL SPEED                           SPEED 5 KMPH MORE

          Distance = 360 Km                         Distance =360
 
          speed    =  X Kmph                        Speed = (x+5)
 
            Time =360/X                              Time =360/(x+15)
          

For the same journey if the speed increased 10 kmph more it will take 1 hour less

Time with original speed - time with increased speed = 1

 => (360/x) - (360/x+10) =  1                               

 =>  (360(x+5)-360x)/x(x+5) =1

 =>   360X + 1800 -360X  = X(X+5)

  =>   X^2 + 5x - 1800 = 0

  X = 40 or -45

 X cannot be negetive value
                  

 X = 40 kmph.

The alphabet 'B' resembles same as a fly 'Bee' in pronouncing.

By trial and error method,

P=0, Q=9, R=0 satisfies the values.

(3x + 2) (2x - 5) = ax2+kx+n ...............(1)

But (3x + 2)(2x - 5) = 6x2-11x-10........(2)

so by comparing (1) & (2),

we get a= 6, k= -11 , n= -10

(a - n + k) = 6 + 10 - 11 = 5.

In the novel entitled 1984 by George Orwell's, "War is Peace; Freedom is Slavery; Ignorance is Strength;" is one of the three slogans of the entity known only as “The Party,” English Socialist Party ("INGSOC" for short) of Oceania.

It means "describes the act of simultaneously accepting two mutually contradictory beliefs as correct, often in distinct social contexts."

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

5x-17+x = -x+7+x

6x=24

x=4