Alfred Tarski, born on January 14, 1901, became known during his lifetime as a brilliant mathematician and teacher. He is best known for proving several advanced geometric theorems. By the time Tarski moved to the United States, much of Europe has already fallen into the grips of World War II. Hundreds of mathematical problems were solved by Tarski.

Tarski enrolled in Warsaw University in 1920. Originally wishing to study biology, mathematics was the subject in which Tarski ultimately excelled. He graduated with honors, and began his career as a math teacher. A true mathematical virtuoso, Tarski was concerned with neither the application of his research nor publishing his findings.   

Discoveries made by Tarski influenced the work of one of the world’s greatest physicists, Albert Einstein. Einstein and Tarski had many similar interests in common. Unlike Albert Einstein, however, Tarski was especially fond for pure mathematics. Although Tarski and Einstein were contemporaries, Einstein was the most prolific writer of the two.

In 1929, Tarski married his co-worker, Maria Witkowska. An affinity for mathematics ran in the family. Tarski even admitted that his wife knew more about algebra, geometry and trigonometry than did he. Tarski's two children, Jan, and Ina, grew up to be prominent mathematicians themselves; however, neither Jan nor Ina have received a great deal of international attention.

Choose the answer that best corrects the bolded portion of the passage. If the bolded portion is correct as written, choose "NO CHANGE."

Adapted from A Christmas Carol by Charles Dickens (1843)

The ghost on hearing this set up another cry and clanked its chain so hideously in the dead silence of the night that the police has been justified in indicting it for a nuisance.

"Oh! captive, bound, and double-ironed," cried the phantom, "not to know that ages of incessant labor, by immortal creatures, for, this earth must pass into eternity before the good of which it is susceptible is all developed! Not to know that any Christian spirit working kindly in its little sphere, whatever it may be, will find its mortal life too short for its vast means of usefulness! Not to know that no space of regret can make amends for one life's opportunities misused! Yet such was I. Oh, such was I."

"But you were always a good man of business, Jacob" faltered Scrooge, who now began to apply this to himself.

"Business!" cried the Ghost wringing its hands again. "Mankind was my business. The common welfare was my business; charity, mercy, forbearance, and benevolence were, all, my business. The dealings of my trade were but a drop of water in the comprehensive position of my business!"

Which of the following is the best form of the bolded section?

Adapted from “Puritanism as a Literary Force” in A Book of Prefaces by H.L. Mencken (1917)

Naturally enough, this moral obsession has given a strong color to American literature. It is true that American literature is set off sharply from all other literatures. In none other will you find so wholesale and ecstatic a sacrifice of ideas, of all the fine gusto of passion and beauty, to notions of what is proper and nice. From the books of grisly sermons that were the first American contribution to letters down to that amazing literature of "inspiration" which now exists, one observes no relaxation of the moral pressure.

In the history of every other literature there have been periods of what might be called moral innocence. In such periods a naive “joie de vivre” (joy of living) has broken through all concepts of duty and responsibility, and the wonder and glory of the universe has been hymned with unashamed zest. The age of Shakespeare comes to mind at once. The violence of the Puritan reactions offers a measure of the pendulums’ wild swing. But in America no such general rising of the blood has ever been seen.

The literature of the nation, even the literature of the minority, has been under harsh and uneducated Puritan restraints from the beginning, and despite a few stealthy efforts at revolt, it shows not the slightest sign of emancipating itself today. The American, try as he will, can never imagine any work of the imagination as wholly without moral content. It must either tend toward the promotion of virtue or, otherwise, be questionable.

Which is the best form of the bolded section?

John and Susan runs to the finish line as fast as possible.

Lisa, Aaron, and Jason is coming over later than everyone else.

Replace the underlined portion with the answer choice that results in a sentence that is clear, precise, and meets the requirements of standard written English. One of the answer choices repeats the underlined portion as it is written.

Both Mark and his friend Josh is a type of person called introverts.

Replace the underlined portion with the answer choice that results in a sentence that is clear, precise, and meets the requirements of standard written English. One of the answer choices reproduces the underlined portion as it is written in the sentence.

Freud and other advocates of introspective psychology argue that a feeling of connectedness with other human beings, along with a positive self-image, contribute to the overall health of an individual.

Replace the underlined portion with the answer choice that results in a sentence that is clear, precise, and meets the requirements of standard written English.

Tom, Dick, and Harry all laments the loss of a previous innocence they possessed as children.

As the class entered the museum, Ms. Johnson noticed that two of her students had fallen behind the group. After all of the tickets had been secured, she approached the two girls, saying: “what on Earth is causing you to go so slow?” The taller girl, whose name was Ashley, was the first to respond:

“Veronica and I were just discussing something very private. Nobody can hear what her and I are discussing.”

“Well, Ashley, I think that our tour guide, Dr. Mitchell, will be offended by your behavior. You and Veronica should find separate places in the group and you should pay attention to him and me.”

The two girls reluctantly joined the rest of the class. Ms. Johnson looked to see if another student was out of their place, but everything seemed to be in order. The tour guide, Dr. Mitchell, introduced himself to the class: 

“Hello everyone! My name is Dr. Mitchell. I’m so glad that you have all come to the Museum of Natural History today; I think you’ll really enjoy our exhibits, which have been curated with the utmost care. The museum has three distinct types of exhibitions. Permanent exhibitions, temporary exhibitions, and space shows. The permanent exhibition and the space show is always available for viewing, but the temporary exhibition changes seasonally.“

Having finished his introduction, the permanent exhibition was the first thing that Dr. Mitchell showed to the class.

Choose the answer that best corrects the bolded portion of the passage. If the bolded portion is correct as written, choose "NO CHANGE."

Passage adapted from The Wonderful Wizard of Oz (1899) by L. Frank Baum

Dorothy lived in the midst of the great Kansas prairies, with Uncle Henry, who was a farmer, and Aunt Em, who was the farmer's wife. Their house was small, for the lumber to build it had to be carried by wagon many miles. There were four walls, a floor and a roof, which make one room; and this room contained a rusty looking cookstove, a cupboard for the dishes, a table, three or four chairs, and the beds. Uncle Henry and Aunt Em had a big bed in one corner, and Dorothy a little bed in another corner. There was no garret at all, and no cellar--except a small hole dug in the ground, called a cyclone cellar, where the family could go in case one of those great whirlwinds arose, mighty enough to crush any building in its path. It was reached by a trap door in the middle of the floor, from which a ladder led down into the small, dark hole.

When Dorothy stood in the doorway and looked around, she could see nothing but the great gray prairie on every side. Not a tree nor a house broke the broad sweep of flat country that reached to the edge of the sky in all directions. The sun had baked the plowed land into a gray mass, with little cracks running through it. Even the grass was not green, for the sun had burned the tops of the long blades until they were the same gray color to be seen everywhere. Once the house had been painted, but the sun blistered the paint and the rains washed it away, and now the house was as dull and gray as everything else.

Choose the answer that best corrects the underlined portion of the passage. If the bolded and underlined portion is correct as written, choose "NO CHANGE."