Thursdays w/ Ron Flashcards
When does GMAT tolerate pronoun ambiguity? (3)
1) the context is obvious
2) the pronoun is parallel to the intended noun
3) the pronoun is not parallel to the other noun(s)
What can “because of …” be followed by? (2)
Because CLAUSE
Because of NOUN
not Because of VERBing
What should I look for if I see an answer split involving singular and plural verbs?
Subject-verb agreement
What are the 2 ways to find the localisation of the subject of the verb?
- Mechanically: eliminate all the intervening modifiers
2. Context: think about the literal meaning
What things can’t be subjects? (3)
- Objects of verbs
- Objects of prepositions
- Subordinate clauses (even if they have their own S and V)
“X is Y” ; “X was/were Y” - what is the subject? (2)
- If anything before the verb can be the subject -> that’s the subject
- If nothing before the verb can be the subject, then you have a backward construction (= the subject follows the verb)
If you have a compound subject (X and Y) or a list (X, Y and Z) ..
.. then you should threat that as you would treat a single plural noun
Compound nouns (X and Y) and lists (X, Y and Z) should be treated as \_\_\_\_\_\_\_ Sing or plur
single words
On sentences such as “X is/are Y” - what are the subject cases? (2)
- If X is eligible to be the subject, then X is the subject
2. If X is inedible to be the subject, then it’s a backward construction and Y is the subject
Prep + noun + verb-ing
is only correct if ___
the NOUN is the intended object of the preposition
Two very basic principles of combinations
- And : multiply
2. Or : add (provided that different situations are mutually exclusive)
The slot method
Used when you have an “AND” situation (choose one of these, AND one of those, AND ..)
- Create a SLOT for EACH DECISION that you have to make
- Fill in each SLOT with the NUMBER OF OPTIONS (pick the restricted slots FIRST to know how many options you have)
- MULTIPLY (be sure to multiply in easiest possible order)
- If order doesn’t matter:
- take the NUMBER(S) of items within which ORDER DOESN’T MATTER
- take the FACTORIALS of those numbers
- DIVIDE
ORDER MATTERS means
that if you INTERCHANGE or SCRAMBLE the chosen elements, then you get a DIFFERENT OUTCOME
What is the operative question to find out if order matters?
If I scramble the elements, do I get a different outcome?
Is it possible for order not to matter WITHIN SOME SUBSETS?
Yes
Combinations x Order :
You don’t have to pick things in the given order, but
you can still pay attention to the order.
In many problems you are better off picking a different oder
What is the default meaning of “set” in combinations?.
Order does NOT matter
How many ways are there to scramble the elements in a set of n things?
n! different ways
When should one use the “C” or “P” formulas in combinations?
Only when choices are not restricted
If you have a simple relationship,
then you should use one variable.
Cf. Unknown multiplier, sum-x, etc
If a relationship is not particularly simple, then
you should go ahead and use more than one variable
Besides simple relationships you should also use a single variable when
one quantity is expressed IN TERMS OF another quantity
Ex: price of orange expressed in price of banana
If you have a word translation that relates an ISOLATED quantity to an EMBEDDED quantity,
(role variable)
you should use your VARIABLE to stand for the EMBEDDED quantity
Ex: the price of an orange (iso. quant) is 20c more than twice the price of a banana (embedded quantity, part of a larger expression).
X = price of banana
2x + 20 = price of orange
Can you cross-multiply inequalities with unknowns?
Usually no.
If you don’t know the sign, you don’t know if you have to flip the sign
What does b/d > 0 mean?
1) b / d is positive
2) b & d have the same sign (++ or –)
3) bd is positive (++ or --)
On word problem look for implied restrictions regarding the numbers
Ex: If need to find number of pencils, I can’t have decimals, it MUST be integers. It also has to be positive.
If a problem is restricted to whole numbers, then algebra _______
will be unable to solve the problem (can’t make the difference) and you’ll have to test values