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Problem Solving Exercises
So here are a few questions I answered regarding the wording of math problems. Watch out! It’s a bit tricky!These are good exercises. Here’s how to think about them:
Question #1:
“There are twice as many Computers as there are printers.”Step 1: Notice the number of computers is twice that of printers.
In other words: computers = 2 * (printers)
Step 2: So: c = 2p (NOT 2c = p !!!!!!!!!!!)The sentence: “There are twice as many computers as there are printers” implies there are more computers than there are printers.
Check your equation –does it make sense? which side is larger? c? or 2p?It takes 2 p’s to equal a ‘c.’ So ‘c’ is bigger. This makes sense!
Answer: c = 2pQuestion #2:
“There are 10 more grapes than apples, and one fourth as many appples as pears.”
Assume g= grape,a = apple, p = pearsStep 1: Think: Reword “10 more grapes than apples” to: grapes = 10 more than apples
g = 10 + aStep 2:Reword “one fourth as many apples as pears” to: apples = 1/4 pears
“One fourth as many apples as pears” implies there are fewer apples than pears. How much fewer? one fourth! Make sure your final equation shows that there are fewer apples than pears.
a = (1/4)papples = a fraction of number of pears–so this makes sense!
Answer: a = (1/4)pIdiomatic Expressions | GMAT Prep questions
Here’s another question a student asked. Worth a look to understand how the GMAT guys test you on idiomatic expressions.After July, anyone disposing of or servicing refrigerators must capture the chlorofluorocarbons in the refrigerant chemicals.
(A) anyone disposing of or servicing
(B) those who dispose or service
(C) anyone disposing of or who services
(D) the disposal or repair of
(E) someone who disposes or repairsHere the keyword is “OR”
On the left: “anyone disposing of…refrigerators”
On the right: “anyone…servicing refrigerators”This is fine. “Dispose” is one of those idiomatic words that require the “of” afterwards. You dispose OF something. You don’t just dispose something.
After July, anyone disposing of or servicing refrigerators must capture the chlorofluorocarbons in the refrigerant chemicals.
(A) anyone disposing of or servicing [this is ok, idiomatically "disposing of" is required---both are -ING verbs]
(B) those who dispose or service [you need the OF after dispose]
(C) anyone disposing of or who services [not consistent....could be "anyone who disposes of or who services"--or make them both -ING verbs--and that would become (A)]
(D) the disposal or repair of [is it the person who captures the chlorofluorocarbons or the repair that does it? it must be the person! so this wording is not correct]
(E) someone who disposes or repairs [you need "disposes OF"]Student’s GMAT Prep Question for Sentence Correction
Here’s a question that was directed to me from a student:
Quote:
As envisioned by researchers, commercial farming of lobsters will enable fisheries to sell the shellfish year-round, taking advantage of off-season demand, standardize its sizes and colors, and to predict sales volume in advance.(A) taking advantage of off-season demand, standardize
(B) taking advantage of off-season demand, to standardize
(C) taking advantage of off-season demand, standardizing
(D) take advantage of off-season demand, standardizing
(E) take advantage of off-season demand, to standardizeStep 1) Notice keyword “and” in the format: a, b, and c.
Since the last term c is not underlined, this will dictate what the other guys have to be.
“to predict sales” is what we have to follow.Step 2) Identify a and b.
a: “to sell”
b: “to standardize”Step 3) Only choices (B) and (E) have “to standardize”
Step 4) Note that the -ING phrase “taking advantage of off-season demand” is just a descriptive phrase describing the first part of the sentence. Also, the phrase in (E) “take advantage of” does not fit the “to take advantage of” pattern so it cannot be correct.
Step 5) Mark (B) and move on.
You should be able to arrive at the correct answer pretty quickly if you have the correct and efficient thought process.
Sentence Correction GMAT Prep Question
So I answered another question from a student who is getting confused with -ING verbs and sentence structures. Here it goes:
OK, let’s take a look:
Quote:
The Achaemenid empire of Persia reached the Indus Valley in the fifth century B.C., bringing the Aramaic script with it, from which was derived both northern and southern Indian alphabets.
A) the Aramaic script with it, from which was derived both northern and
B) the Aramaic script with it, and from which deriving both the northern and the
C) with it the Aramaic script, from which derive both the northern and the
D) with it the Aramaic script, from which derives both northern and
E) with it the Aramaic script, and deriving from it both the northernStep 1) Identify that there are 2 commas separating the 3 segments of the sentence. 1 segment starts with an -ING verb and another starts with “from which”
Step 2) Look closely at “from which was derived both northern and southern Indian alphabets.”
Flip this around:
“Both northern and southern Indian alphabets derive from [it]”Step 3) What is [it] referring to? It’s referring to the empire. Is that what we want? NO! It makes more sense that an alphabet derives from a script.
So we have to flip the underlined portion so the word “script” is at the end.Step 4) Identify that choices C, D, and E have the word “script” at the end of the phrase. With C/D being more relevant to what we are going for.
Step 5) Note that the phrase “both northern and southern” is plural–and must be followed with “derive” instead of “derives”. Choice (C) has “derive” so (C) is the answer.
Mark (C) and move on.
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