Question:medium
What is the sum of angles subtended by expenditures of Paul on Travel, Rent and Medical?
What is the sum of angles subtended by expenditures of Paul on Travel, Rent and Medical?
Show Hint
Convert each percentage to degrees using the fact that 100% equals 360 degrees.
Updated On: Jul 21, 2026
- \( 207.2^{\circ} \)
- \( 165.8^{\circ} \)
- \( 157.5^{\circ} \)
- \( 187.2^{\circ} \)
Show Solution
The Correct Option is D
Solution and Explanation
Step 1: Convert each of Paul's three percentages to degrees separately.
Travel angle: 15% times 3.6 degrees equals 54 degrees.
Rent angle: 22% times 3.6 degrees equals 79.2 degrees.
Medical angle: 15% times 3.6 degrees equals 54 degrees.
Step 2: Add the three individual angles.
54 plus 79.2 plus 54 equals 187.2 degrees.
Final Answer:
Adding the angles one category at a time also gives 187.2 degrees for Travel, Rent and Medical. \[ \boxed{187.2^{\circ}} \]
Travel angle: 15% times 3.6 degrees equals 54 degrees.
Rent angle: 22% times 3.6 degrees equals 79.2 degrees.
Medical angle: 15% times 3.6 degrees equals 54 degrees.
Step 2: Add the three individual angles.
54 plus 79.2 plus 54 equals 187.2 degrees.
Final Answer:
Adding the angles one category at a time also gives 187.2 degrees for Travel, Rent and Medical. \[ \boxed{187.2^{\circ}} \]
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So wrote Thomas Hardy in his poem, Heredity, describing direct descent of life from one generation to the next. Indeed, the poem reflects the DNA in our genome. Dr.Drew Endy of MIT quoted this when he described how people at the J. Craig Venter Institute (JCVI) bypass nature’s constraint of direct descent. Scientists there have used chemistry and biochemistry to produce the first synthetic genome in the laboratory. They chemically synthesized many fragments of the DNA, encoding the 582,970-units-long genome of a bacterium called Mycoplasma genitalium. Next, they assembled these fragments in perfect order to generate the genome of the bacterium.
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Now, they used the clever trick of exploiting the process called homologous recombination. This is a basic essential process in every cell, which physically rearranges the two strands of DN The JCVI researchers inserted the synthesized DNA fragments into yeast and utilized its homologous recombination ability to generate the whole 580,000 long genome of M.genitalium in one step.
This is clearly a landmark work that leads into the brave new world of synthesizing life itself in the laboratory. It was hardly 200 years ago when Friedrich Wohler synthesized urea, an organic molecule, in the chemical laboratory, thus throwing out the notion of ‘vital forces’ involved in the components of living organisms. What is the next step, making life itself in the lab, bypassing nature? With single cell organisms like M.genitalium, it might not be far away. It is now possible in the lab to do so, by inserting the genome into a ‘host’ cell and asking the latter to make the bacterium of your choice. If only we find a way to insert the bacterial genome into this proto-cell, and somehow trigger it to make the bacterium itself! We would have chemically created life in the la This is not a pipedream; JCVI scientists are already on the job, and my bet is they will do it within a few years.
This surely raises ethical questions, a matter that JCVI is keenly aware of and is already engaged in with ethicists. Even their present work on M.genitalium was done with prior approval of ethical experts. But then, today it is M.genitalium, tomorrow it could be a more advanced, multi-cellular organism, and that could flummox even the ethicist. Assisted reproduction, which is the other side of the coin and truly a recently initiated technology, has become ethically and morally acceptable. Cloning of Dolly, the sheep, has not raised any outrage, but cloning a human certainly does.
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The first bimolecular motors with tiny metal propellers to reach inside our cells and probe their secrets have been built and pilot-tested and scalpels fitted with probes that can instantly reveal whether cells are cancerous may soon help surgeons operating on tumours to detect cancer at the earliest stages, perhaps even replacing biopsies. That Einstein ousted Gandhi as Time's Man of the Century clearly reflects the Zeitgeist. As Stephen Hawking writes, The world has changed far more in the last 100 years than in any other century in history. The reason is not political or economic, but technological - technologies that flowed directly from advances in basic science.
The reflection of the Zeitgeist, even as it stands witness to the enormity of man's reach, is also a warning: that when man's reach exceeds his grasp, it is time to pause and ponder over priorities. From time to time, a natural disaster might push us back to oil lamps and cooking by wood fire but a baby born a whole hundred hours after the mother was trapped under heavy rubble will also establish the sovereignty of other forces. Baby buying on the Internet illustrates the lowest human motivations at work, but harnessing its reach to attract global aid for earthquake victims reflects higher human impulsions.
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