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Overview of GMAT Math Question Types and Patterns on the GMAT

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MathRevolution

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Joined: 16 Aug 2015

Posts: 11256

GMAT 1: 760 Q51 V42

GPA: 3.82

Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

01 Apr 2016, 07:11

Expert Reply

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
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MathRevolution

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Joined: 16 Aug 2015

Posts: 11256

GMAT 1: 760 Q51 V42

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

07 Apr 2016, 16:47

Kudos

Expert Reply

Also, a question like n!=n(n-1)!=n(n-1)(n-2)! frequently appears on GMAT. Look at the question below.
(ex 5)Which of the following is equal to (x+1)!/x!?

A. x-1 B. 1+(1/x) C. 1 D. x+1 E. x

Answer: D

In this question, from (x+1)!/x!=(x+1)x!/x!=x+1, D becomes the answer.
You will find this type of question very often.
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MathRevolution

Math Revolution GMAT Instructor

Joined: 16 Aug 2015

Posts: 11256

GMAT 1: 760 Q51 V42

GPA: 3.82

Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

11 Apr 2016, 17:34

Expert Reply

Furthermore, highly advanced integer questions are frequently given on GMAT.
(ex 6) If it is well known that (1.0001)^100is approximately 1.01 and (1.01)^100 is approximately 2.7, what is the value of ((1.0001)^200)^200 approximately?
A. 43 B. 47 C. 53 D. 61 E. 64
Answer: C

In this case, C becomes the answer. However, facing with a question like this without knowing concepts of questions can be very challenging.
This type of integer questions is given very often, so you have to be very cautious.
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MathRevolution

Math Revolution GMAT Instructor

Joined: 16 Aug 2015

Posts: 11256

GMAT 1: 760 Q51 V42

GPA: 3.82

Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

18 Apr 2016, 16:59

Expert Reply

Moreover, inequality questions disregarding square are always given on GMAT. Look at the question below.

(ex 5) Is x^3y^2z>0?

1) xz>0
2) x^2y>0

As disregarding square, if xy is not 0, the question becomes is xz>0?.
1) xz>0 and 2) y>0, which makes C the answer.
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depchetoad

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Joined: 14 Apr 2016

Posts: 1

Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

21 Apr 2016, 19:02

Thank you for this useful post!

How are you able to gather so much detailed information on what questions are being used in live GMAT exams today?

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

23 Apr 2016, 22:26

MathRevolution wrote:

Questions related to geometry are continuously increasing. Let’s have a look at the example of the recent trend.

(ex 4)

Attachment:

GEOMETRY.jpg

If n regular pentagons are tangent each other in points of a circle as above figure, n=?

A. 8
B. 9
C. 10
D. 11
E. 12

Answer: C

Questions like the above are increasing. Therefore, students preparing for GMAT should focus on geometry more intensively.

Can someone explain how option C is correct here
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

23 Apr 2016, 22:38

MathRevolution wrote:

Also, geometry questions are rising continuously. Let's take the recent question as an example.

(ex 4)

Attachment:

yin yang.jpg

There is a yin-yang symbol shown as above figure such that its radius is 2. What is the area of the region shaded?
1) Both arc MNO and arc OCD are the same semi-circles.
2) The area of region shaded is half of the area of the circle

Answer: B

In this case, 1) and 2) are the same, which makes D the answer. Just like the question above, slightly difficult and deriving 1)=2) questions which make D the answer are frequently given as well. This type of geometry questions are steadily on an upward tendency.

Does the answer to this question B or D?

If D please explain option A
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

27 Apr 2016, 00:27

Kudos

Expert Reply

depchetoad wrote:

Thank you for this useful post!

How are you able to gather so much detailed information on what questions are being used in live GMAT exams today?

Hi,

The math research institute of Max lee has been continuously surveyed our student after an exam about type of questions, chapter, etc.
Based on the survey, we try to figure out what is the recent type of question.
Also, in order to find out types of GMAT Math questions, we search related websites of other countries, which enables us to come up with recent type of question.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

28 Apr 2016, 08:41

Excellent port MathRevolution

Thank you

+1 Kudos for the detailed stats

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

29 Apr 2016, 00:26

Expert Reply

Plus, geometry questions are continuously increasing. Let's have a look at the recent question.

Attachment:

triangle.jpg [ 9.33 KiB | Viewed 9219 times ]

If BC=a, AB=x, AC=y, and AD=h, is ∠BAC=90o?

1) xy=ah
2) ∠C=30

Answer: A

In this case, Modify the original condition and the question.
In order to satisfy ∠BAC=90. AB should be a base line and AC be a height, at the same time, BC should be a base line and AD should be a height as well.
Then, the areas of the triangles should be the same, which is (1/2)xy=(1/2)ah? -> xy=ah?.
Hence, the answer is A.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

02 May 2016, 04:08

Expert Reply

Plus, geometry questions are consistently increasing.
For instance,

Attachment:

attachment.jpg [ 15.62 KiB | Viewed 9150 times ]

A certain rectangle has L and W shown as above figure such that L=2W. If the region has uniformly width d, the area of the region shaded is what percent of the area of the entire region?

1) w=3d
2) w=360

Answer: A

In this case, when one con is ratio and the other con is number, ratio is an answer.
For 1), w=3d is ratio, which is sufficient.
Hence, the answer is A.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

05 May 2016, 21:28

Expert Reply

Questions involving consecutive integers always appear in the GMAT Math.

(ex 6) What is the range of consecutive 35 even numbers?
A. 34 B. 35 C. 66 D. 68 E. 70
Answer: D
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

07 May 2016, 03:44

Do GMAT compulsorily ask Permutation questions. Should i study that topic or not

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

09 May 2016, 21:45

Expert Reply

TIMEBBA wrote:

Do GMAT compulsorily ask Permutation questions. Should i study that topic or not

It is extremely rare that GMAT compulsorily ask permutation questions and you don't have to study permutation separately.
All you need to do is to memorise the fomula of nPr as nPr is part of nCr.
Thank you.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

13 May 2016, 04:58

Kudos

Expert Reply

Geometry questions frequently appear in the test. If I were to give an example of a question that resembles the current trend:

If O is a center of a circle as above figure, what is the area of the region shaded?
1) ∠AOB=30o.
2) The length of arc CA is π.
Answer: C

There are 2 variables (radius and degree AOB) in the original condition. Hence the correct answer is C.

Attachments

1.png [ 16.67 KiB | Viewed 9307 times ]

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

13 May 2016, 08:51

[quote="MathRevolution"]Geometry questions frequently appear in the test. If I were to give an example of a question that resembles the current trend:

Thank you very much Sir.We all are Fan of yours. Cheers for MAX sir

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

15 May 2016, 20:41

Kudos

Expert Reply

Questions involving probability and integers frequently appear as well.

(ex 6) If 5 integers are selected randomly from all the integers between 11 and 30 inclusive, what is the probability that the 5 numbers selected must contain 11 and 13?
A. 1/10 B. 3/19 C. 1/17 D. 1/19 E. 1/18
Answer: D

18C3/20C5=1/19. Hence, the correct answer is D.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

21 May 2016, 16:45

Kudos

Expert Reply

A probability question frequently appears in the test.

3 different colors are there. We paint the colors to the region numbered as shown above figure. If adjacent regions are painted by different colors, how many possible ways are there?
A. 12 B. 18 C. 24 D. 28 E. 30
Answer: A
As adjacent regions are painted by different colors, we get 3*2*1*2=12.

Attachments

12.png [ 7.12 KiB | Viewed 8990 times ]

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

22 May 2016, 16:41

Kudos

Expert Reply

There are many questions related to geometry. Let’s take a look at one example.

A circle with its radius is 30 are surrounded by fence that has 10 as a uniform width, what fraction of the large circle’s area is the fence’s area?
A. 1/4 B. 2/5 C. 7/16 D. 9/16 E. 11/16
Answer: C

From above question, [(40^2)π-(30^2π)]/402π=7/16. The answer is C.

Attachments

.png
.png [ 9.53 KiB | Viewed 8971 times ]

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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

25 May 2016, 17:46

Expert Reply

This is a probability question.
Each digit of 3-digit codes are formed from 0, 2, 4, 5, and 6. Each digit of the codes cannot be repeated. If the codes are divisible by 5, how many possible codes are there?
A. 9 B. 12 C. 20 D. 21 E. 24
Answer: D

Since the codes need to be divided by 5, the units digit cannot be 0. Then we got 3*3=9. If the units digit is 0, we get 4*3=12. Then, 9+12=21. The answer is D.
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Re: Overview of GMAT Math Question Types and Patterns on the GMAT [#permalink]

25 May 2016, 17:46

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