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Ex:1On Earth, among the surest indications of sunspot cycles are believed to be the rate that trees grow, as seen in the rings visible in the cross sections of their trunks.
A. On Earth, among the surest indications of sunspot cycles are believed to be the rate that trees grow
B. On Earth, among the surest indications of sunspot cycles are, it is believed, the rate of tree growth
C. On Earth, the rate at which trees grow is believed to be among the surest indications of sunspot cycles
D. Among the surest indications on Earth of sunspot cycles, believed to be the tree growth rate
E. Among the surest indications on Earth of sunspot cycles is believed to be the rate at which trees grow
In Ex1 only A&E are close but A is wrong because there is a sub-verb disagreement the rate(sing.) & are(pl.).1.We know the subject can't be "indications" Or "sunspot cycles", because both of those nouns are inside prepositional phrases (beginning with "among" and "of" respectively
Ex2: The results of the company's cost-cutting measures are evident in its profits, which increased five percent during the first three months of this year after it fell over the last two years.
a. which increased five percent during the first three months of this year after it fell
b. which had increased five percent during the first three months of this year after it had fallen
c. which have increased five percent during the first three months of this year after falling
d. with a five percent increase during the first three months of this year after falling
e. with a five percent increase during the first three months of this year after having fallen
using the reasoning highlighted in bold, Ex1, I eliminated a,b & c since 'in its profits' is a prepositional phrase so 'which' cannot refer to 'profits' which is object of the prepositional phrase
but then OA:C.
Experts pls help on this, I am striking-off many correct choices because of this confusion & finally lowering my score :(