GATE Questions

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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.

12 N in a C means 12 Numbers in a Clock. 

The pattern in the given series is +4, +9, +16, +25, ... i.e. 22,32,42,52...

The next number is 284+25 = 309.

Currently, the Melbourne Cricket Ground is the world's largest cricket stadium in the world with a total capacity of 100,024. The boundary line of this ground is 85–92 meters from the middle of the pitch which is the highest of all the Cricket grounds around the world. While Kolkata's Eden Gardens is reportedly No. 2 with a capacity of 66,000. 

The Sardar Patel Gujarat Stadium, also known as Motera Stadium getting built in Ahmedabad will accommodate 1.1 lakh cricketing fans inside the stadium overtaking current record-holder Melbourne Cricket Ground .

As we know that Speed = Distance / Time
for average speed = Total Distance / Total Time Taken
Thus, Total Distance = 325 + 470 = 795 km
Thus, Total Speed = 7.5 hrs
Average Speed = 795/7.5 => 106 kmph.

Let the length of the 1st train = L mts

Speed of 1st train = 48 kmph

Now the length of the 2nd train = L/2 mts

Speed of 2nd train = 42 kmph

Let the length of the bridge = D mts

Distance = L + L/2 = 3L/2

Relative speed = 48 + 42 = 90 kmph = 90 x 5/18 = 25 m/s(opposite)

Time = 12 sec

=> 3L/2x25 = 12

=> L = 200 mts

Now it covers the bridge in 45 sec

=> distance = D + 200

Time = 45 sec

Speed = 48 x5/18 = 40/3 m/s

=> D + 200/(40/3) = 45

=> D = 600 - 200 = 400 mts

Hence, the length of the bridge = 400 mts.

 Given A = log321875 and B = log2432187

B = log352187 = log321875

=> A

Therefore, A = B