CAT Questions

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The Van Vihar National Park is located in Bhopal, the capital city of Madhya Pradesh. It covers an area of about 4.45 sq.km and is home to Bengal Tiger, Asiatic Lions, wild cats, Indian Wolf, Sloth Bear, Red Fox, Indian Jackal, Wild Dog, Mongoose, Striped Hyena, Mugger Crocodile, Gharial, Snakes, Python, etc.

Number of white marbles = 4

Number of Black marbles = 5

Total number of marbles = 9

Number of ways, two marbles picked randomly = 9C2

Now, the required probability of picked marbles are to be of same color = 4C2/9C2  +  5C2/9C2

= 1/6 + 5/18

= 4/9.

K's brother's wife's father-in-law is K's brother's father i.e. K's father. K's father's daughter is K's Sister.
L is daughter of K's sister => K is L's Uncle or Aunt.

Given total students in the class = 60
Students who are taking Economics = 24 and
Students who are taking Calculus = 32
Students who are taking both subjects = 60-(24 + 32) = 60 - 56 = 4
Students who are taking calculus only = 32 - 4 = 28
probability that a randomly chosen student from this group is taking only the Calculus class = 28/60 = 7/15.

Let the present age's of mother be 'M' and that of her son be 'S'.

According to the given data in the question,

M - 5 = 3(S - 5)

F - 3S = -10  ...............(1)

Then given ,

M + 5 : S + 5 = 11 : 5 

=> 5M - 11S = 30 ..............(2)

From (1) & (2), we get

S = 20

Then by substituting S = 20 in (1) or (2), we get

M = 50.

Hence, the present age of mother is M = 50 years.

Since T is the brother of Q
Therefore, P is the father of T
but S is the wife of T.
Hence, S is the daughter-in-law of P.

10% profit at half plot = 600000/2 x 10/100 = Rs. 30,000

15% profit at remaining half plot = 600000/2 x 15/100 = Rs. 45,000

Now, total profit = 30000 + 45000 = 75000

Profit % = 75000/600000 x 100 = 12.5 %

India’s first smartcard-based Public Bicycle Sharing (PBS) initiative has launched in Mysuru, Karnataka on June 4, 2017. The cost of the project, partly funded by World Bank’s Global Environmental Facility, for the next six years is Rs 20.5 crore, covering the maintenance of the docking stations and bicycles. About 450 bicycles will be available for public use in the city. To rent a bicycle, the citizens of Mysuru or tourists need to register themselves either online or by visiting one of the six registration centres situated close to tourism centres and obtain a smart card after paying Rs. 350, including a refundable deposit of Rs. 250. Though the use of the bicycle is free for the first one hour, the users will have to pay a nominal fee of Rs. 5 for two hours, Rs. 10 for three hours and so on.