Riemann's Paper — Reading Set
CAT practice · VARC · Hard · Verbal
Passage / data set
Read the passage below and answer the sub-questions on the right.
In 1859, Bernhard Riemann published an eight-page paper that would haunt mathematicians for generations. The paper contained an offhand conjecture about the zeros of a certain complex function. Its true significance, however, lay not in the calculation itself but in what it revealed about the underlying structure of prime numbers. Even today, more than a century and a half later, that conjecture remains one of the deepest unsolved problems in mathematics — a quiet, obstinate crack running beneath the surface of number theory.
Question 1 of 3
The four sentences below, labeled 1, 2, 3, 4, when properly sequenced form the passage above. Enter the correct order as a 4-digit number (e.g. 3142).
- However, its true significance lies not in the calculation itself but in what it revealed about the underlying structure of prime numbers.
- In 1859, Bernhard Riemann published an eight-page paper that would haunt mathematicians for generations.
- The paper contained an offhand conjecture about the zeros of a certain complex function.
- Even today, more than a century and a half later, that conjecture remains one of the deepest unsolved problems in mathematics.
2314
Explanation
2 opens (introduces the paper). 3 elaborates. 1 pivots on "However". 4 closes. Answer: 2314
Question 2 of 3
The author's primary purpose in the passage is to:
- A.
Prove the Riemann Hypothesis using elementary tools.
- B.
Highlight the enduring importance of a brief mathematical paper.
- C.
Argue that number theory is more important than analysis.
- D.
Criticize mathematicians for ignoring Riemann's work.
B
Explanation
The passage emphasizes the paper's lasting significance and unresolved status. Answer: B
Question 3 of 3
The tone of the closing sentence ("a quiet, obstinate crack…") is best described as:
- A.
Triumphant
- B.
Dismissive
- C.
Reverent and unresolved
- D.
Sarcastic
C
Explanation
"Quiet, obstinate" evokes respect for an unresolved problem. Answer: C
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