CAT Questions

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The number of letters in the given word CREATIVITY = 10

Here T & I letters are repeated

=> Number of Words that can be formed from CREATIVITY = 10!/2!x2! = 3628800/4 = 907200

Light travels Faster than Sound.

Light :

1. Light doesn't require a medium to travel.

2. It travels in the vaccum with the speed of 1,86,000 miles per second.

Sound:

1. Sound rquire a medium.

2. It travels in the Air with the speed of 340 meters per second.

3. It travels Faster in Water than in Air.

4. It travels Faster in Steel than in Water. 

we know that speed = distance traveled/time taken
let the total distance traveled by the car is 2x km.
then time taken by it to cover first half is x/60 hour.
and for second half is x/40 hour.
Then average speed= total distance travelled / total time taken.

i.e. 2xx60+x40

=> 2x5x120

= 48 kmph.

Total number of possible ways = 

9C5 = 9 x 8 x 7 x 6 x 55 x 4 x 3 x 2 x 1 = 126

Number of favorable cases = 

$$\begin{gathered} 4C2 x 5C3 + 4C3 x 5C2 + 4C4 x 5C1 \\ 4 x 32 x 1 x 5 x 4 x 33 x 2 x 1 + 4 x 3 x 23 x 2 x 1 x 5 x 4 2 x 1 + 1 x 5 \\ = 6 x 10 + 4 x 10 + 5 \\ = 60 + 40 + 5 \\ = 105 \end{gathered}$$

Therefore, required probability = 105/126 = 5/6

From given data,

(C.P. of 17 balls) - (S.P. of 17 balls) = (C.P. of 5 balls)

C.P. of 12 balls = S.P. of 17 balls = Rs.720.

Hence, C.P. of 1 ball = Rs.720/12 = Rs. 60.

Achal Kumar Jyoti (64), a retired 1975 IAS Officer batch of Gujarat Cadre, is the newly appointed Chief Election Commissioner (CEC), who took over as the head of the Election Commission in New Delhi on today. He succeeded Dr Nasim Zaidi. Jyoti will continue as the Chief Election Commissioner till January 17, 2018. Prior to this appointment, he was Election Commissioner of India. A CEC or an EC can have a tenure of six years or hold office till the age of 65 years, whichever is earlier.

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