CAT Questions

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Probability of atleast one failure
= 1 - no failure > 31/32
= 1 - P5 > 31/32
=  P5<1/32
= p < 1/2
Also p > 0
Hence p lies in [0,1/2].

From the given data,

Ratio of capital = 12000 : 14400 = 5 : 6

Required Difference = 

$$\begin{gathered} 6 - 56 + 5 88100 x 7500 + 12100 x 7500 \\ = 111 x 88 x 75 + 12 x 75 \\ = 600 + 900 \\ = 1500 \end{gathered}$$

P( only one of them will be selected) = p[(E and not F) or (F and not E)] 

 = PE∩F∪F∩E 

= PEPF+PFPE

 =17×45+15×67=27

At 1 pm ... Distance between A and B = 2x3.5 = 7 kms
at 2 pm .....Distance between A and B = 7 + 3.5 - 1 = 9.5 kms
At 3 pm ....Distance between A and B = 9.5 + 3.5 - 2 = 11 kms.
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At 7 pm distance between A and B = 3 kms.
From 7 pm to 8 pm, speed of A = 3.5 kmph
speed of B = 8 kmph
Relative speed = 4.5 kmph

Time taken by B to meet A = 3/4.5 hrs = 30/45 hrs = 120/3 mins = 40 mins.

So meeting time is 7 : 40 PM.

Let the distance be 'd' kms.

According to the given data,

$$\begin{gathered} d30 - d50 = 4060 hrs \\ => 6d = 300 \\ => d = 50 kms. \\ \end{gathered}$$

The words in each pair are opposites of each other.

Here Mature and Regressed are opposite to each other. Then the required word should be opposite of varied and it is monotonous.

Hence, Mature : Regressed :: Varied : Monotonous.

A computer has a CPU which is called as Central Processing UNit or a Processor builton the mother board. It has many components like control unit and Arithmetic and logical unit. 

The Arithmetic and logical unit of the CPU performs the arithmetic operations or mathematical calculations.