*BookRags*. (c)2015 BookRags, Inc. All rights reserved.

Name: _________________________ | Period: ___________________ |

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

## Multiple Choice Questions

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

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

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

**4. What was Ramanujan interested in in this value?**
**(a)** The constant's practical value. **(b)** The constant's irrationality. **(c)** Its infinite nature. **(d)** Underlying properties.

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

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

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

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

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

**10. How do people account for Ramanujan's self-assessment?**
**(a)** Ramanujan's arrogance. **(b)** Hardy's coldness. **(c)** Overwork. **(d)** Ramanujan's naïveté.

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

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

**13. What conflict did Ramanujan return to?**
**(a)** His wife and his mother. **(b)** His father and the authorities. **(c)** His mother and father. **(d)** His parents with his in-laws.

**14. What were Ramanujan and Hardy looking for in their work on partitions?**
**(a)** A point at which partitions broke down for prime numbers. **(b)** A way to bridge partitions. **(c)** A way to define the number of partitions precisely. **(d)** A theorem that demonstrated how partitions operate in series.

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

## Short Answer Questions

**1.** Who was Leonard Euler?

**2.** Who developed an exact solution to the question of partitions?

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

**4.** What did Ramanujan's Master Theorem attempt to do?

**5.** What did Littlewood and Hardy see as mathematically important?

This section contains 451 words(approx. 2 pages at 300 words per page) |