Health and happiness

We decided to travel by car and ____ (1) (leave) the house early. We _____ (2) (be) on the road for two hours, when our car _____ (3) (hit) a stone that _____ (4) (lie) in the middle of the road. The car ____ (5) (go) off the road but we ____ (6) (escape) with minor injuries. Had we _____ (7) (travel) faster, we _____ (8) (involve) in a serious accident. The mishap ____ (9) (delay) us but did not ____ (10) (damp) our enthusiasm.

"This is just........... kind of house I am looking for. Does it have.......... kitchen garden?" "Yes,
Madam, ................ kitchen garden is at …………….. back and what..........garden it is!"
 "Last time I met Sanju, he was looking for...job." "What happened to .......... job I had got
him?"

 "Our city doesn't have............. airport. I have to travel 100 kilometers to reach nearest one to
take ........ flight to Delhi"
 Did she arrive ........... day before you came?" "No she arrived ................ same day as I did". 

Add the prefixes un-, dis-, ir-, il-, im-, mis- to the following words (any five).

 Fair, treat, disturb, illusion, behave, proper, regular, management, proper

Write a paragraph on the innovation you would wish to create. Include powerful reasons and statements in order to support the topic.

I____________ (1) (realize) that I ___________ (2) (know) one of the two men by sight, and I _________ (3) (spend) a few seconds thinking why he _________ (4) (seek) me out on a Sunday afternoon. During this pause, three small boys __________ (5) (walk) up the passage from the house behind me, _________ (6) (thread) a way around me and the two men outside, and silently ________ (7) (climb) like cats up into a tree in the middle of the lawn outside. There, the three figures ________ (8) (rest), _________ (9) (become) immobile, ________ (10) (lie) on their stomachs, deep in a secret game.

Write Kruskal’s algorithm for finding minimum cost spanning tree using greedy approach and apply to the following graph and show step by step results.

Write pseudocode for left to right binary exponentiation evaluation. Apply the algorithm `for evaluating a280 and show a step by step result.

Write a pseudocode of evaluating polynomial expression using Horner’s rule and perform complexity analysis (step by step). Apply it to evaluation the polynomial expression: (10) P(x) = 3x⁶+4x⁵+2x4+2x³+8x+9

Marie Curie was one of the most accomplished scientists in history. Together with her husband, Pierre, she discovered radium, an element widely used for treating cancer, and studied uranium and other radioactive substances. Pierre and Marie’s amicable collaboration later helped to unlock the secrets of the atom. Marie was born in 1867 in Warsaw, Poland, where her father was a professor of physics. At an early age, she displayed a brilliant mind and a blithe personality. Her great exuberance for learning prompted her to continue with her studies after high school. She became disgruntled, however, when she learned that the university in Warsaw was closed to women. Determined to receive a higher education, she defiantly left Poland and in 1891 entered the Sorbonne, a French university, where she earned her master’s degree and doctorate in physics. Marie was fortunate to have studied at the Sorbonne with some of the greatest scientists of her day, one of whom was Pierre Curie. Marie and Pierre were married in 1895 and spent many productive years working together in the physics laboratory. A short time after they discovered radium, Pierre was killed by a horse-drawn wagon in 1906. Marie was stunned by this horrible misfortune and endured heartbreaking anguish. Despondently she recalled their close relationship and the joy that they had shared in scientific research. The fact that she had two young daughters to raise by herself greatly increased her distress. Curie’s feeling of desolation finally began to fade when she was asked to succeed her husband as a physics professor at the Sorbonne. She was the first woman to be given a professorship at the world-famous university. In 1911 she received the Nobel Prize in chemistry for isolating radium. Although Marie Curie eventually suffered a fatal illness from her long exposure to radium, she never became disillusioned about her work. Regardless of the consequences, she had dedicated herself to science and to revealing the mysteries of the physical world.

1. The Curies’ _________ collaboration helped to unlock the secrets of the atom.
a) friendly
b) competitive
c) courteous
d) industrious
e) chemistry
2. Marie had a bright mind and a ______ personality.
a) strong
b) lighthearted
c) humorous
d) strange
e) envious
3. When she learned that she could not attend the university in Warsaw, she felt _________.
a) hopeless
b) annoyed
c) depressed
d) worried
e) None of the above
4. Marie _________ by leaving Poland and traveling to France to enter the Sorbonne.
a) challenged authority
b) showed intelligence
c) behaved
d) was distressed
e) Answer not available
5. _________ she remembered their joy together.
a) Dejectedly
b) Worried
c) Tearfully
d) Happily
e) Irefully
6. Her _________ began to fade when she returned to the Sorbonne to succeed her husband.
a) misfortune
b) anger
c) wretchedness
d) disappointment
e) ambition
f)
7. Even though she became fatally ill from working with radium, Marie Curie was never _________.
a) troubled
b) worried
c) disappointed
d) sorrowful
e) disturbed
8. Write the word similar to ‘skilled ‘from the passage
9. Write a synonym of the ‘discovery’
10. Write the opposite of the word ‘desolation’ 

Find the optimal solution to the fractional Knapsack problem using Greedy technique: 
 Number of objects n: 6
Maximum Weight M = 25
Value of each item:
( See Answer →

Estimator and Estimate

Type I and Type II errors in hypothesis testing

Simple random sampling and Stratified random sampling

Measurement of Skewness

Age specific birth and death rates

Bayes’ theorem of probability

What is a life table? Explain its uses and limitations.

Define correlation coefficient. What are its properties?

a) Fit a straight line ( = + ) to the following data. Compare the estimated values of the dependent variable with its actual values.