GRE Prep

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enigma

mystery

nCr n =? r = ?

n = number of different items r = number of items from it "chosen"

What is 5C3?

nCr=n!/r!(n−r)! 5C3 = 5!/3!(5-3)! (5 x 4)/2 = 10

abrogated

officially revoked

obsolescence

out dated; old fashioned

repudiate

refuse to accept

Tutelary

serving as a guardian or protector, "sheltering"

Austerity

severity; strictness; mature; somberness

Arresting

striking, attracting attention

; in a word problem signifies

the second part of the sentence defines the blank

moralizing

to attempt to improve someones morals, or reform

adulterate

to corrupt, make worse by the addition of inferior elements

Tangible

touchable

uncouth

vulgar, lacking manners

debilitating

weakening, harmful, consequences

Astute

(adj.) shrewd, crafty, showing practical wisdom

Chef James must select 3 different items for each dinner he will create. The items are to be chosen from among 5 different vegetarian and 4 different meat selections. If at least one of the selections must be vegetarian, how many different dinners can the chef create?

80 -Combinations problem: Veg, Meat, Meat; Veg, Veg, Meat; or Veg, Veg, Veg -For V,M,M he has 5 choices for V(choose 1) and 4 choices for M(choose 2) so equation is 5 x 4C2 5 x [4!/2!(4-2)!] = 30 -For V,V,M he has 5 choices for V(choose 2) and 4 choices for M(choose 1) so equation is 5C2 x 4 4 x [5!/2!(5-2)!] = 40 possible combos -For V,V,V he has 5 choices (choose 3) so equation is 5C3 5!/3!(5-3)! = 10

The (i)___________ of the old man's garb and home belied a (ii)___________ nature, and many people lamented his tendency to be outright juvenile in somber circumstances. For each blank select one entry from the corresponding choices. Fill all blanks in the way that best completes the text. blank (i)blank (ii) (i)austerity (i)obsolescence (i)poverty (ii)jovial (ii)jejune (ii)inquisitive

Austerity; Jejune

The average (arithmetic mean) of the numbers v, w, x, y, and z is j, and the average of the numbers x, y, and z is k. What is the average of v and w in terms of j and k ? (j - k) / 2 (j + k) / 2 (5j - 3k) / 3 (5j - 3k) / 2 (5j - k) / 2

D - Average = sum of terms/# of terms - Rearrange sum of terms = (average) x (# of terms) - Sum of v, w, x, y, z = 5j - Sum of x, y, z = 3k - Sum of v,w = (5j - 3k) - only 2 terms so average of v,w is (5j - 3k)/2

Quantity A: √π% of 700/√π Quantity B: 343/49 Which is greater?

They are equal to each other - Start with B; B=7 -"of" means "times" -rewrite as (700 x √π x %)/√π -√π cancel out giving 700 x % = 7

Wane

To decrease gradually

Conflict between generations may be a problem that has persisted for centuries, but the nature and intensity of the conflict obviously _____ in response to changes in social and economic conditions a: increase b: disappear c: decline d: vary e: wane

D: Vary

Ruddy

Healthily red in complexion,

Staunchly

Loyal, firm, and dependable

Sanguine

Reddish complexion or confident/optimistic in regards to disposition

Guarded

Self-protective

Which of the following expressions are factors of 12^17? Indicate all possible correct answers. (-2)^2(-3)^4 12^3 + 12^3 4^18 2^16× 3^15 3^17× 4^17 12^17 + 12^17

Use prime factorization -Prime Factorization of 12 is 2 x 2 x 3 -12^17 means there are 34 2's and 17 3's -any choice that does not need something other than that is a factor A, B, D, E

Disposition

a person's inherent qualities of mind and character or the way in which something is arranged

Exonerated

absolved of guilt

Assuming

arrogant

Pretentious

arrogant

sanguinary

bloodthirsty; bloody

interred

buried

Jejune

childish; immature

If the integer m is a multiple of both 10 and 12, then all of the following must be factors of m EXCEPT 15 12 10 8 6

choose a multiple of 10 and 12 ex: 60 8 is not a factor of 60

Garb

clothing

belied

contradicted; contrast

Inquisitive

curious

Somber

dark, gloomy; depressed or melancholy in spirit

impasse

deadlock

debacle

disaster

fiasco

disaster

Lacklustre

dull

eradicate

eliminate

exonerate

free from blame

vindicate

free from blame, exonerate

Coruscant

glittering, sparkling, bright

Jovial

happy; cheerful; friendly

virtuous

having excellent morals; righteous

ingenuous

honest, sincere

g and h are consecutive multiples of 4. Quantity A: 5(g - h)2 Quantity B: 80 Compare the two quantities and select the appropriate answer. Quantity A is greater. Quantity B is greater. The two quantities are equal. The relationship cannot be determined from the information given.

if g and h are consecutive multiples of 4 then the difference between them will always be 4

acquitted

judged not guilty

desultorily

lacking consistency

recriminate

make a counter accusation

vitiating

morally corrupting


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