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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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Please remember that questions in the GMAT Math section are based on high school mathematics. You need a strong foundation in order to score high
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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As stated in the post, please master integer and statistics well! They include some key questions for GMAT Quant section
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
This is a superb thread keep up the great work!
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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MathRevolution wrote:
Also, the highly advanced hidden integer questions frequently appear on exams.

(ex 6) Tom, who has 50 math questions, will get 5 points per question if he chooses a correct answer. If he chooses a wrong answer to a question or skips one, he will lose 2 points per question. Then, which of the following can be the score if he solves all the 50 questions?

A. 192
B. 193
C. 194
D. 195
E. 196


Answer: C

Maxmark 250
For every ques he loses 7. 7*7 =49.so 201 next 7 will be our ans from option so 194

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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This is a 50-51 level question..
If (a^3)(b^4)(c^5)<0, is abc<0?
1) b>0
2) ab<0

If we modify the original condition and the question, the question becomes if ac<0, is abc<0?. Then, we get b>0?. Hence, the correct answer is A.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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Below is 50-51 level question.
What is the number of the different prime factors of n?
1) n is a factor of 3,600.
2) 90 is a factor of n.
There is 1 variable in the original condition. In order to match the number of variables and the number of equations, we need 1 equation. Hence, there is a high chance that D is the correct answer. Using 1) & 2), however, the correct answer is C.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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Please study the table above as you further your study in the future
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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I have only seen 2 matrix questions in GMAT Math so far. It seems as if Matrix questions are not asked in GMAT Math.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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There are some questions which combine both common mistake type 3 and 4. Below is a recent type of questions and is a 50-51 level common mistake type 4(B) question. You have to strong at this type of questions and have to understand the relationship between the Variable Appraoch method and the Common Mistake Type.

x+y=?
1) x^2 +|y|= 0
2) |x|+ y^2 =0
Both C and D can be answers, in this case. This is a common mistake type 4(B) question. The correct answer, in this case, is D.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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Below is related to absolute value. This is a high level question.
w+xy+z=?
1) z=147
2) w^2+x^2+y^2+z≤147
There are 4 variables in the original condition. Hence, there is a high chance that the correct answer is E. Using 1) and 2), we get z=147 and w=x=y=0. Hence, the condition is sufficient and the correct answer is C.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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Is x>0?
1) x2>x3
2) x3>x4

In case of inequality, if the range of question includes the range of condition, that condition becomes sufficient. Hence, we solve each question using inclusion relationship.
In case of condition 1), if we divide both sides by x^2, we get 1>x. The range of question does not include the range of condition. Hence, the condition is not sufficient.
In case of condition 2), if we divide both sides by x^2, we get x>x2 ==> 0<x<1. Hence, the correct answer is B. The range of the question includes the range of the condition.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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2) The question below is a 5051-level problem, and an inequality problem that ignores squared numbers
(ex 2) (inequality) If x and y are positive, is y/x > x/y?
1) y>x
2) y=x+2
==> If you change the original condition and the problem, since x and y are positive numbers, the sign of inequality does not change even if both sides are multiplied by xy. If so, in y/x>x/y?, y2-x2>0?, (y-x)(y+x)>0?, y+x>0, thus, y-x>0?, y>x?. In the case of 1) the answer is yes, and in the case of 2) y-x=2>0 yes, thus the answer is D.

Answer: D
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3) Let’s always be careful about the CMT 4(A) like the one below

(ex 3) (statistics) What is the standard deviation of 10 numbers?
1) The standard deviation of them is d, then d2-d=0
2) The product of all the 10 numbers is negative

==> In the original condition, the answer is highly likely to be E with 10 variables. If you go with 1) & 2) you get, from d(d-1)=0, you get d=0,1, and in the case of 2) in order for the mulplication of ten numbers to get negative number, there has to be at least one number that is different from each other. Thus, d≠0, and d=1, hence suffi. Therefore, the answer is C.
Answer: C
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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If a and b are integers, is ab+1 an odd?
1) a is an even
2) b is an odd
==> In the original condition, C is likely to be the answer since there are 2 variables (a,b). If you solve 1) & 2), you actually get C as an answer. However, this problem, too, is a integer problem(a key question), and if you apply CMT 4(A), if you do 1), a=even, it becomes ab=even ab+1=even+1=odd, hence yes, and suffi. Therefore, the answer is A.
Answer: A
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]
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CMT 4(B) still often comes out these days.

If a and b are prime numbers, what is the value of a+b?

1) 30≤a<b≤40
2) ab=1,147

==>In the original condition, the answer is highly likely to be C since there are 2 variables (a,b). If you do 1)&2), in the case of 1), you get a=31, b=37, hence unique, and suffi. In the case of 2),too, it becomes 31*37=1,147, therefore suffi. The answer is D. You must not forget about CMT 4(B) like this one with 1) easy and 2) difficult. If you can do A, B easily, consider D. Hence the answer is D.

Answer: D
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If x≠0, is x^2/|x|<1?
1) -1<x<1
2) 0<x

==>If you change the original condition and the problem, you get is x^2/|x|<1? --> is |x|^2/|x|<1? --> is |x|<1? --> -1<x<1?, so A is the answer.

Answer: A
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Below is the 5051 question.

Is x<xy<y?
1) x<y
2) 0<x<1<y

==> In the original condition, there are 2 variables (x,y), so C is highly likely to be the answer. Through 1) & 2), 2) is true, and from 2) x<1, both sides of the equation can be multiplied by y, and you get xy<y. From 1<y, you multiply both sides of the equation by x, you get x<xy, then you get x<xy<y, hence yes, and sufficient. B is the answer
Answer: B
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