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Name: _________________________ | Period: ___________________ |

This test consists of 15 multiple choice questions and 5 short answer questions.

## Multiple Choice Questions

**1. In his letter to Hardy, what did Ramanujan say he had discovered?**
**(a)** A mistake in Hardy's theorems. **(b)** A solution to a problem Hardy proposed. **(c)** A theory of relativity. **(d)** A function for using irrational numbers in multi-variable calculus.

**2. What did Hardy and his friends arrange for Ramanujan?**
**(a)** A bureaucratic appointment. **(b)** A teaching position. **(c)** A research position. **(d)** A sinecure.

**3. When did Ramanujan die?**
**(a)** 1920. **(b)** 1939. **(c)** 1947. **(d)** 1923.

**4. What did the divergent series 1+2+3+4+5... add up to in Ramanujan's notebooks?**
**(a)** 7. **(b)** 39. **(c)** Infinity. **(d)** -1/12.

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

**6. What was Euler's contribution to understanding partitions?**
**(a)** A theorem about series. **(b)** Notes on the performance of nested square roots. **(c)** A functional approximation. **(d)** An algorithm, but without values.

**7. How does Kanigel describe the value of Ramanujan's discovery?**
**(a)** It is still used today. **(b)** It revised several major mathematic theorems. **(c)** It predicts the behavior of certain celestial bodies. **(d)** It has yet to be disproved.

**8. What was Ramanujan's intention when he returned home?**
**(a)** To stay in India for a few years. **(b)** To bring his wife back to England. **(c)** To teach in India. **(d)** Never to return to England.

**9. What aspect of the English does Kanigel say affected Ramanujan?**
**(a)** Affected coldness. **(b)** Nationalism. **(c)** Intellectual rigor. **(d)** Chauvinism.

**10. How does Kanigel describe John Littlewood?**
**(a)** A therapist. **(b)** A bureaucrat. **(c)** A math prodigy. **(d)** A consultant.

**11. What practice does Kanigel say Ramanujan had difficulty adjusting to in England?**
**(a)** Wearing shoes. **(b)** English cooking. **(c)** Afternoon tea. **(d)** Speaking English.

**12. How did Ramanujan spend all his time on returning to India?**
**(a)** On math. **(b)** At the school where he taught. **(c)** With his wife. **(d)** With his parents.

**13. What did Hardy decide after conferring with John Littlewood?**
**(a)** That Ramanujan was a genius. **(b)** That Ramanujan was a small thinker. **(c)** That Ramanujan was unstable. **(d)** That Ramanujan was dangerous.

**14. Who was Leonard Euler?**
**(a)** Hardy's protégé. **(b)** Ramanujan's tutor. **(c)** A teacher at Cambridge. **(d)** A brilliant mathematician to whom Hardy compared Ramanujan.

**15. What is the state of Ramanujan's work now?**
**(a)** Completely published and evaluated. **(b)** Fragmentary. **(c)** Not completely published. **(d)** Not completely collected.

## Short Answer Questions

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

**2.** What was the doctor's prescription for Ramanujan's condition?

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

**4.** Based on his letter, what was Hardy trying to determine about Ramanujan?

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

This section contains 437 words(approx. 2 pages at 300 words per page) |