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TLS Online TPP Program
QUESTION ID:1
A forester, pictured below, is trying to measure the height of a tree. Her height is x =1.5 m. She stands y = 10 m away from a tree, from where the angle subtended to the top of the tree is z = 45°. The height of the tree is m (round off to 1 decimal place).
QUESTION ID:2
In a recently discovered fossil, only 0.39% of C14 found in living fossils is present. If the half-life of C14 is 5730 years, the age of the fossil is expected to be years (round
off to the nearest integer).
QUESTION ID:3
A beaker contains a large number of spherical nuts of two types, one with radius 1 cm and the other with 2 cm, in the ratio 2:1. A squirrel picks one nut from a random point in this beaker. Assuming that the beaker is well-mixed, the probability of picking the smaller nut ........... is (round off to 1 decimal place).
QUESTION ID:4
In a closed population following logistic growth, per capita birth rate band per capita death rated va1y with population size N as b = 0.1- 0.0001N and d = 0.01 + 0.00002N, respectively. The carrying capacity K of this population is __ individuals.
QUESTION ID:5
A population of birds has a 3:2 male to female adult sex ratio at the beginning of the breeding season. During the breeding season, every female produces 8 eggs of which 4 survive to become juveniles. A census at the end of the breeding season accurately estimates the bird population to be 1300 individuals. Assuming no deaths, the number of adult males in this population is individuals.
QUESTION ID:6
The coordinates of P is (0,1), Q is (0,3), R is (2,0) and S is (1,0). The area of the trapezoid PQRS is (round off to 1 decimal place).
QUESTION ID:7
Trees in two patches A and B can disperse seeds to a bare patch C. The probability of a seed being dispersed from A to C is 0.5 and the probability of germination of such a seed is 0.1. Likewise, the probability of a seed being dispersed from B to C is 0.4 and the probability of germination of such a seed is 0.2. If the number of seeds produced in patch A is 100 and that in B is 200, the expected number of germinated seeds in patch C is __
QUESTION ID:8
A bacterial population grows from 106 cells to 5.5 x 107 cells in 20 minutes. Assuming that the growth was not resource limited, the per-capita growth rate of bacteria is __ per minute (round off to 2 decimal places).