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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 did Ramanujan and Hardy develop for working with partitions?**
**(a)** A refinement of Euler's suggestion. **(b)** The circle method. **(c)** A precise method for determining partitions for prime numbers. **(d)** Nested square roots.

**2. How does Kanigel describe the trip to England?**
**(a)** Perilous. **(b)** Petrifying. **(c)** Sublimely beautiful. **(d)** Arduous.

**3. Who developed an exact solution to the question of partitions?**
**(a)** Later mathematicians. **(b)** Hardy. **(c)** Euler. **(d)** Ramanujan.

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

**5. What did Ramanujan work out in his research on constants?**
**(a)** An approximation of pi. **(b)** A new use for Euler's constant. **(c)** A solution to pi. **(d)** A foundation for Euler's constant.

## Short Answer Questions

**1.** How does Kanigel describe John Littlewood?

**2.** Where did Ramanujan move to?

**3.** What was the result of Ramanujan clinging to his cultural practices?

**4.** What did Hardy decide after conferring with John Littlewood?

**5.** Who was Leonard Euler?

## Short Essay Questions

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

**2.** Describe Ramanujan's trip to England.

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

**4.** What accolades did Ramanujan receive for his work?

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

**6.** Ramanujan kept extensive notes of his thinking. What was in Ramanujan's notebooks, and how much of his work was valuable, according to Kanigel?

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

**8.** What cultural practices did Ramanujan hold on to from India?

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

**10.** In what way was Ramanujan's experience of England similar to Ghandi's?

This section contains 698 words(approx. 3 pages at 300 words per page) |