tifr.res.in GS Graduate School Admissions Exam Question Paper : , Tata Institute of Fundamental Research
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Document type : Model Question Paper
Name Of The Subject : GS Graduate School Admissions Exam
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GS Admission Exam Question Paper :
TATA INSTITUTE OF FUNDAMENTAL RESEARCH
Written Test in PHYSICS – December 11, 2011
Please read all instructions carefully before you attempt the questions.
Related : Homi Bhabha Centre For Science Education Indian National Mathematical Olympiad INMO Previous Question Paper : www.pdfquestion.in/9127.html
GS-2012 Question paper :
GENERAL :
1. A father’s blood group is AB; the mother’s is O. Which of the following blood groups could appear in their offspring?
a. AB
b. O
c. A or B
d. None of the above
2. Chandrayaan-1, India’s unmanned probe to the moon was recently in the news because it produced evidence for the presence of
a. Liquid water
b. Titanium
c. Water molecules
d. Permafrost
3. In 2009, a survey revealed that more children than average were born in Indian cities that had above-average numbers of Cellphone towers. This could be because:
a. Cellphone radiation can influence biological processes.
b. More cellphone towers are placed in highly populated areas.
c. Fewer single people tend to have mobile phones than married people.
d. The number of cellphone towers is an indication of average income.
4. Assume people’s birthdays are uniformly distributed amongst 365 days in a year (ignore the leap years). What is the minimum number of people that you must collect in a room to be sure that at least two share a birthday?
a. 23
b. 365
c. 366
d. 1825
5. What proportion of the genes of two worker bees from a hive will be identical?
a. 50%
b. 25 – 75 %
c. 100%
d. depends on the parentage of the bees concerned
6. What volume of 20% Sucrose would you use to make 2mL of 5% Sucrose solution
a. 0.0005 mL
b. 0.05mL
c. 0.5mL
d. 0.005mL
7. The plot of concentration of product formed in a hypothetical chemical reaction versus time follows an exponential curve. What will be the shape of the plot of the net forward rate of the reaction versus time?
a. exponential
b. linear
c. parabolic
d. hyperbolic.
8. What is the effective H3O+ concentration in a 10 mM Phosphate buffer at pH 4.0?
a. 10-4 x 10-14 M
b. 10-4 + 10-7 M
c. 10-4 M
d. none of the above
9. You are trying to walk across the slippery floor of a 10 meter wide room. You take uniform steps of 0.5metre each. There is a 10% probability that you will slip and fall at every step. What is the chance that you will make it half-way across, and then slip to fall exactly in the middle of the room?
a. (0.1)10 x (0.9)
b. (0.1) x (0.9)10
c. 0.5
d. None of the above
10. The heights of members of the staff at an institute follow a nearly normal distribution with mean 160 cm and standard deviation 5 cm. Which of the following is not true?
a. Approximately 50% of the members of staff at this institute have heights less than 160 cm;
b. Approximately 10% of the members of staff have heights greater than 175 cm;
c. Approximately 2.5% of the staff members have heights less than 152 cm;
d. The peak of the distribution is around 160 cm.
11. If you hold a nail against a piece of ice, the end in your hand will soon become cold. Why is this?
a. Heat flows from the nail to the ice.
b. Cold flows from the ice to the nail.
c. Answers A and B are equivalent, thus both are correct.
d. Heat flows from the nail into your hand, leaving the nail cold.
12. A population of synchronous E. coli cells is allowed to divide and grow at the rate of one binary division every 30 minutes. Suppose there are 4×10^6 cells immediately following a division event. The number of E. coli cells that were present 5 hours previously is approximately:
a. 0.24×10^6
b. 1.66×10^5
c. 3.9×10^3
d. 1.024×10^2
13. If log (y) = log (x)m then from the figure shown below, what is the value for ‘m”?
a. m = 3
b. m = 1.5
c. m = 1
d. m = 2