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

## Multiple Choice Questions

**1. What did Ramanujan discover when his friend Mahalanobis read a puzzle from the paper?**
**(a)** The mystical nature of numbers. **(b)** The value of pi. **(c)** A proof to all problems like that puzzle. **(d)** The constant that resolves series to prime numbers.

**2. What obstacle stood in the way of Hardy's plan?**
**(a)** Ramanujan's intractability. **(b)** Ramanujan's poverty. **(c)** Ramanujan's inability to get a passport. **(d)** Ramanujan's resistance to sea travel.

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

**4. What did Hardy try to arrange after receiving Ramanujan's letter?**
**(a)** Ramanujan's passage to England. **(b)** A teaching position for Ramanujan. **(c)** A meeting with Ramanujan. **(d)** A scholarship for Ramanujan in India.

**5. What was it that offended Ramanujan when he invited some friends to dinner?**
**(a)** The friends criticized his cooking. **(b)** The women declined a third helping. **(c)** The friends wanted to use silverware. **(d)** The men used salt.

**6. What did Hardy and Neville nominate Ramanujan to become?**
**(a)** A dean at Oriel College. **(b)** A graduate student at Trinity. **(c)** A teacher at King's College. **(d)** A fellow at Trinity College.

**7. To what extent does Kanigel say Ramanujan blended in with Cambridge society?**
**(a)** Thoroughly. **(b)** Not very much. **(c)** He was always in between cultures. **(d)** He remained hostile to it.

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

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

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

**11. What was the doctor's diagnosis of Ramanujan's illness?**
**(a)** Tuberculosis. **(b)** Depression. **(c)** Cancer. **(d)** Heart disease.

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

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

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

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

## Short Answer Questions

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

**2.** How did Ramanujan respond to Hardy's request for proofs?

**3.** How much of Ramanujan's work did Hardy believe was sound and original?

**4.** When did Ramanujan die?

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

This section contains 486 words(approx. 2 pages at 300 words per page) |