February 2014



Bee Science: Huge swaths of the agricultural industry depend on the humble honeybee. According to the USDA, "about one mouthful in three in our diet directly or indirectly benefits from honey bee pollination." Biologists at Stanford are now looking into how the tiny ecosystems in the nectar of flowers affect the bees' dining preferences. Their work suggests bees may be picky pollinators, and their fussiness could confound complications from colony collapse disorder. Read more ....

Mono Lake Buried deep in the mud along the banks of a remote salt lake near Yosemite National Park are colonies of bacteria with an unusual property: they breathe a toxic metal to survive. Researchers from the University of Georgia discovered the bacteria on a recent field expedition to Mono Lake in California, and their experiments with this unusual organism show that it may one day become a useful tool for industry and environmental protection. Read more ....

Cross-section of hippocampus Suppose you heard the sound of skidding tires, followed by a car crash. The next time you heard such a skid, you might cringe in fear, expecting a crash to follow - suggesting that somehow, your brain had linked those two memories so that a fairly innocuous sound provokes dread. Read more .....

NASA's Opportunity rover New findings from rock samples collected and examined by NASA's Mars Exploration Rover Opportunity have confirmed an ancient wet environment that was milder and older than the acidic and oxidizing conditions told by rocks the rover examined previously. Read more ....

Kornberg In a finding that directly contradicts the standard biological model of animal cell communication, UCSF scientists have discovered that typical cells in animals have the ability to transmit and receive biological signals by making physical contact with each other, even at long distance. Read more ....




Solution

Okay, let us suppose Anil had 'C' number of cats and 'D' number of dogs initially. The total number of cats and dogs is 55, therefore C + D = 55.

Exactly one-fifth of the cats and one-fourth of the dogs were adopted. Therefore the number of cats adopted is C/5 and the number of dogs adopted is D/4. The total number of cats and dogs adopted is C/5 + D/4 = (4C + 5D)/20.

It is given that exactly one-fifth of the cats were adopted. Hence the total number of cats has to be 5 or multiples of 5, and not exceeding 55 (you cannot have a fraction of a cat!).

Therefore, the number of cats can be 5, 10, 15, 20, 25, 30, 35, 40, 45, 50 or 55.

Therefore, if we consider there were 5 cats then the number of dogs is 50 (because C + D = 55). So, the (cat, dog) numbers can be (5, 50), (10, 45), (15, 40), (20, 35), (25, 30), (30, 25), (35, 20), (40, 15), (45, 10) or (50,5).

Similarly, exactly one-fourth of the dogs were adopted. Therefore the total number of dogs has to be 4 or multiples of 4, and not exceeding 55. Therefore, the number of dogs could be 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48 or 52.

Only the (cat, dog) pairs of (15, 40) and (35, 20) satisfy this condition. But we have also been told that the number of dogs was more than the number of cats. Thus, only (cat, dog) pair of (15, 40) satisfies this condition.

There were, thus, 15 cats initially and one-fifth, or 3, of them were adopted. There were 40 dogs initially and one-fourth, or 10, of them were adopted.



Some useful links for
your career:


  • Union Public Service Commission - www.upsc.gov.in
  • IIT-Kharagpur - www.iitkgp.ac.in
  • Indian Statistical Institute - www.isical.ac.in
  • Indian Institute of Technology Madras - www.iitm.ac.in
  • Indian Institute of Management, Ahmedabad - www.iimahd.ernet.in
  • Indian Institute of Mass Commission - www.iimc.nic.in
  • IIT Bombay - www.iitb.ac.in
  • Indian School of Mines, Dhanbad - www.ismdhanbad.ac.in
  • Birla Institute of Technology, Ranchi - www.bitmesra.ac.in
  • Central Institute of Fisheries Nautical and Engineering Training - www.cifnet.nic.in
  • Indian Institute of Information Technology, Allahabad (Deemed University) - www.iiita.ac.in
  • Central Marine Fisheries Research Institute, Kochi - www.cmfri.com
  • Tata Institute of Social Sciences, Mumbai - www.tiss.edu

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