Quantitative Aptitude - Arithmetic Ability Questions

Rate = 4%

Time = 8 years

Simple Interest = PTR/100

= 32P/100

Given, P –32P/100 = 34068

P = 34000

P = 500

Given equation  5x-17 = -x+7

Add 1x to each side of the equation

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

6x=24

x=4

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.

James father present age = x
James age = 2/7 x
James brother age = 2x/7 + 3
x = 42
=> 2x/7 = 12 yrs

3/16 X 80, 6/16 X 80, 7/16 X 80
⇒ 15, 30, 35

Filling efficiency = 5%        

Emptying efficiency = 1.66%  

Net efficiency = 5-1.66 = 3.33%

Therefore, Required time to fil the tub =100/3.33= 30 minutes