CAT Questions

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729 = 9 x 9 x 9

=> Cube root of 729 = 9

Now, required square of 9 = 9 x 9 = 81.

Ramdev promoted Patanjali Ayurveda and Reliance Jio have featured among the top 10 most influential brand in India, according to a study by the global research firm Ipsos.

Home grown Patanjali and Mukesh Ambani’s controlled Reliance Jio have bagged the fourth and ninth position, respectively. Interestingly, Patanjali and Reliance Jio made an impressive entry as they did not figure in the previous edition of the study.

Besides, Google has been ranked at the top slot while Microsoft and Facebook were ranked at number two and three, respectively. State Bank of India (SBI) being the only financial institution that made to the list, moved up four ranks to take the fifth position. E-commerce player Flipkart dropped three spots to take the tenth place while Amazon climbed couple of steps to take the sixth place. Other companies that made to the list include Samsung (7th) and Airtel (8th).

Given that train K crosses a pole in 30 seconds and train L crosses the same pole in one minute and 15 seconds.

Let the length of train K be Lk and that of train L be Ll

given that Lk = 3/4 Ll

As the train K and L crosses the pole in 30 seconds and 80 seconds respectively,
=> Speed of train K = sk = Lk/30

Speed of train L = sl = Ll/80

Lk = 3/4 Ll
=> sk = 3/4 Ll/(30) = Ll/40

Ratio of their speeds = sk : sl
= Ll/40 : Ll/80

=> 1/40 : 1/80  =  2 : 1

Thiruvananthapuram also known as Trivandrum, is the capital and the largest city of the Indian state of Kerala is named after the snake Anantha of Lord Vishnu.

Okhla Bird Sanctuary is located in Uttar Pradesh.

Okhla Bird Sanctuary is a bird sanctuary at the Okhla barrage over Yamuna River. It is situated in Noida, Gautam Buddh Nagar district, on Delhi-Uttar Pradesh state border and known as a haven for over 300 bird species.

Let S be the sample space.
Here n(S)= 23 = 8
Let E be the event of getting atmost two heads. Then,
n(E) = {(H,T,T), (T,H,T), (T,T,H), (H,H,T), (T,H,H), (H,T,H)}
Required probability = n(E)/n(S) = 6/8 = 3/4.