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

**2. What did Littlewood and Hardy see as mathematically important?**
**(a)** Ramanujan's use of irrational numbers. **(b)** Ramanujan's nested square roots. **(c)** Ramanujan's detailed proofs. **(d)** Ramanujan's infinite series.

**3. How does Kanigel say Ramanujan saw himself when he was returning to India?**
**(a)** A complete failure. **(b)** A demi-god. **(c)** Not successful. **(d)** A celebrity.

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

**5. When do mathematicians believe Ramanujan did his best work?**
**(a)** During his illness. **(b)** On the ship back to India. **(c)** At Cambridge. **(d)** Before he left for England.

## Short Answer Questions

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

**2.** What did Hardy and his friends arrange for Ramanujan?

**3.** What did Ramanujan say he was willing to do in order to come to England?

**4.** What does Kanigel say prevented Ramanujan from getting the care he needed?

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

## Short Essay Questions

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

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

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

**4.** What was Ramanujan's decline like, and death?

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

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

**7.** What has been the impact of Ramanujan's work?

**8.** What was Ramanujan's relationship with Cambridge after he left for India?

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

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

This section contains 716 words(approx. 3 pages at 300 words per page) |