CAT Questions

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Let Rajeev's present age be  x years.

Rajeev's age after 15 years = (x + 15) years.

Rajeev's age 5 years back = (x - 5) years

Then ATQ, 

x + 15 = 5 (x - 5)

x + 15 = 5x - 25

=> x = 10

Hence, Rajeev's present age = x = 10 years.

Milk = 3/5 x 20 = 12 liters, water = 8 liters

If 10 liters of mixture are removed, amount of milk removed = 6 liters and amount of water removed = 4 liters.

Remaining milk = 12 - 6 = 6 liters

Remaining water = 8 - 4 = 4 liters

10 liters of pure milk are added, therefore total milk = (6 + 10) = 16 liters.

The ratio of milk and water in the new mixture = 16:4 = 4:1

If the process is repeated one more time and 10 liters of the mixture are removed,
then amount of milk removed = 4/5 x 10 = 8 liters.

Amount of water removed = 2 liters.

Remaining milk = (16 - 8) = 8 liters.

Remaining water = (4 -2) = 2 liters.

Now 10 lts milk is added => total milk = 18 lts

The required ratio of milk and water in the final mixture obtained

= (8 + 10):2 = 18:2 = 9:1.

Here in the alphabets the letter U is missing and it represents the word MISSING YOU (U).

A vector quantity is a quantity which has both magnitude and direction. Here in the given options, speed is a scalar quantity but not the vector quantity.

Here the relation in the given words is, First is the process of formation of the second.

That is, when anything melts, it forms liquid. Similarly, when anything freezes it forms solid.

Hence, Melt : Liquid :: Freeze : Solid.

Badminton is national game of Indonesia.

Given below are some countries with their national games ::

Country                              National Game

Japan                                 Judo.

England                             Cricket.

Spain                                Bull Fighting.

Sri Lanka                           Volley Ball.

Indonesia                           Badminton.

China                                 Table Tennis.

Bhutan                               Archery.

USA                                   Baseball.

Canada                               Ice Hockey.

Bangladesh                         Kabaddi.

Pakistan                             Hockey.

Scotland                             Rugby Football.

Germany                            Football.

Argentina                            Pato.