CAT Questions

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It is in the form of a2-b2a-b = a+ba-ba-b = a+b

Here a = 3.39   b = 2.61 

 = 3.39 + 2.61 = 6.

Here distance d = 800 mts

speed s = 63 - 3 = 60 kmph = 60 x 5/18 m/s

time t = 800x1860x5= 48 sec.

Let the initial speed of Akhil be '4p' kmph

Then speed after decrease in speed = '3p' kmph

We know that, 

Change in speed == Change in time

According to the given data,

$$\begin{gathered} 243p - 244p = 35 - 2560 \\ => p = 12 \end{gathered}$$

Hence, the initial speed of Akhil = 4p = 4 x 12 = 48 kmph.

S.I. for 2 years = (514 - 415) = Rs. 99
S.I. for 1 year = 99/2

Principal = (415 - 99) = Rs. 316.

The Apex body for The national sport Hockey India pitched Jharkhand's Samurai Tete, former Team India skipper, for the Dhyan Chand Lifetime Achievement Award 2016.

Sumrai Tete is a member of the India women's national field hockey team. She played with the team when it won the Gold at the Manchester 2002 Commonwealth Games.

Let N be the required number. 

=> 60100x27x34xN=2664  

=> N = 2664x2x7x5/9  

=> N = 20720.

The Chief Minister of Maharashtra Devendra Fadnavis has recently launched a web portal ‘Mahaswayam’ for job seekers, employers, entrepreneurs and training institutes. At ‘Mahaswayam’, job seekers will be able to register themselves, search as well as apply for jobs, inquire for training, get information on self-employment and get details of job fairs. Besides, training institutes can also register, get details on participation in the state skill development programme, get training fee receipts, and can also receive training fee through ECS. Apart from this, entrepreneurs can also post job vacancy advertisements at the portal.

A number is divisible by 9 only if the sum of the digits of the number is divisible by 9.

Here 86236 = 8 + 6 + 2 + 3 + 6 = 25

We must add 2 to 25 to become 27 which is divisible by 9.