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This test consists of 5 multiple choice questions, 5 short answer questions, and 10 short essay questions.

## Multiple Choice Questions

**1. What are partitions in math?**
**(a)** The divisions between theorems and proofs. **(b)** The distinctions between prime numbers and other numbers. **(c)** The separation between rational and irrational numbers. **(d)** The number of ways to arrive at a number.

**2. How does Kanigel characterize Ramanujan's theorems and formulas?**
**(a)** Almost incomprehensible. **(b)** Immaculate. **(c)** Odd by English standards. **(d)** Universally recognizable.

**3. What was proved correct in Ramanujan's work from this time?**
**(a)** His proofs. **(b)** His conclusions. **(c)** His theorems. **(d)** His assumptions.

**4. What was the doctor's prescription for Ramanujan's condition?**
**(a)** Surgery. **(b)** Physical activity. **(c)** Rest and care. **(d)** Radiation.

**5. In his letter to Hardy, what was the importance of the thing Ramanujan claimed to have discovered?**
**(a)** It was just being discovered simultaneously at other math departments. **(b)** No one under thirty had even tried it. **(c)** It was already common knowledge. **(d)** It had been a mystery for years.

## Short Answer Questions

**1.** What was it that offended Ramanujan when he invited some friends to dinner?

**2.** How does Kanigel say Ramanujan saw himself when he was returning to India?

**3.** How was Ramanujan treated on his return?

**4.** What did Ramanujan and Hardy develop for working with partitions?

**5.** What did the divergent series 1+2+3+4+5... add up to in Ramanujan's notebooks?

## Short Essay Questions

**1.** Describe Ramanujan and Hardy's work on partitions.

**2.** What problems did Ramanujan have on account of his Indian cultural practices?

**3.** What is a formalist in mathematical thinking?

**4.** How was Ramanujan treated on his return to India?

**5.** What was Ramanujan's interest in pi?

**6.** What was Ramanujan's Master Theorem intended to do?

**7.** Describe the decline of Ramanujan's health.

**8.** What was Ramanujan's response when Hardy asked him for proofs?

**9.** What was Ramanujan's condition when he returned to India?

**10.** What did Ramanujan discover when P. C. Mahalanobis read him a puzzle one evening?

This section contains 770 words(approx. 3 pages at 300 words per page) |