CAT Questions

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The Civil Rights Movement :

The Civil Rights Movement in the United States was a struggle by black Americans to gain full citizenship rights and achieve racial equality.

Individuals and organizations challenged discrimination with a variety of activities, including protest marches, boycotts, and refusal to abide by segregation laws.

Many believe that the movement began with the bus boycott in Montgomery, Alabama, in 1955 and ended with the Voting Rights Act of 1965.

Tuberculosis (TB) was the leading cause of death in the United States and one of the most feared diseases in the world during the 19th and early 20th centuries.

Formerly known as Consumption diseases because many types of lung diseases were lumped under the term 'consumption'. Lung cancer and bronchitis were examples.

World Consumer Rights Day is being observed today (15 March 2017) which is an awareness day and theme for this year is 'Building a Digital World Consumers can trust'.

Stalk means the main stem of a herbaceous plant.

Synonyms for Stalk are - Shoot, trunk, cane, bent, reed, straw, bine, stock,...

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.

Fathometer is used to measure the depth of the ocean.

Let the required two numbers be a, b

From the given data,

2a + 3b = 36 .....(1)

3a + 2b = 39 .....(2)

Now, by solving 1 and 2 eqnts, we get

5a = 45

a = 9 ....(3)

Put (3) in (1), we get

2(9) + 3b = 36

=> 18 + 3b = 36

3b = 36 - 18

=> b = 18/3 = 6

Required, difference between the numbers = a + b = 9 + 6 = 15.