Exams

Bleak means an area of land lacking vegetation and exposed to the elements like deserts.

Physiology is a branch of biology. Similarly, mathematics is a branch of philosophy.

Hence, Physiology : Biology :: Metaphysics : Philosophy.

Let S be the sample space. Then,
n(s) = number of ways of drawing 4 pearls out of 14

= C414 ways = 14×13×12×114×3×2×1= 1001

Let E be the event of drawing 4 pearls of the same colour.
Then, E = event of drawing (4 pearls out of 5) or (4 pearls out of 4) or (4 pearls out of 5)

  ⇒C15+ C44+ C15 = 5+1+5 =11

 P(E) = n(E)n(S)=111001=191  

 Required probability = 1-191=9091

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.

Let the present age of Pinky be x years

Then the age of Mary is x - 12 years

After 3 years,

Ratio of  MaryPinky = x - 9x + 3 = 58

8x - 72 = 5x +15

=> 3x = 87

=> x = 29

=> Age of Pinky = 29 years

=> Age of Mary = 29 - 12 = 17 years

Present age of Sam = 29 + 17 = 46

Before 15 years Sam age = 46 - 15 = 31 years.

Total strength of the class is given by

15 + 44 + 4 + 3 - 1 = 65