CAT Questions

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Given numbers are 585 546 514 404 206 369
Then interchanging the 1st and 3rd digits of the given numbers, we get
585 645 415 404 602 963
Now, arranging them in ascending order
963 645 602 585 415 404
Then the last second number is 415.

Market regulation system was introduced by Ala-ud-Din Khilji. He was the second and the most powerful ruler of the Khalji dynasty that ruled the Delhi Sultanate in the Indian subcontinent. 

Konark Sun Temple is a 13th century temple of Odisha, built by Narasimhadeva I of the Eastern Ganga Dynasty. It is also known as Black Pagoda. It’s a World Heritage Site. It is considered as architectural marvel for which Odisha, best known worldwide.

Let the actual distance be t kms

Now, According to the data,

$$\begin{gathered} 5t + 860 = 6t \\ => 560t + 860 = 6t \\ => 60t + 8 = 72t \\ => 8 = 12t \\ => t = 8/12 = 2/3 hrs \end{gathered}$$

Now, the total distance = 6t = 6 x 2/3 = 2 x 2 = 4 kms.

Doing more work in less time, results in an increase in power to do a work.

Charminar was built at the center of the Hyderabad city in Telangana state, to commemorate the eradication of Plague by Mohammed Quli Qutb Shah in early 1500's. 

It was built with Granite, imestone and Marble.

Let the speed of the boat in still water is 'w'

Speed of the current is 'c'

Let the distance between two places is 'd'

According to the question, motorboat takes half time to cover a certain distance downstream than upstream.

dw+c = 12dw-c

=> 2w - 2c = w + c

=> w = 3c

=> c : w = 1 : 3

Hence, the ratio between rate of current(c) and rate of boat in still water(w) = 1 : 3