GRE Prep
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