Try this question
- Identify conclusion - and the cause and the effect.
- Look for other reasons. that support the conclusion..
This blog is dedicated to GMAT aspirants who want tips; strategies,practice questions,learning videos and study notes on how to tackle the Reading comprehension,Problem solving, Data sufficiency and critical reasoning section of the GMAT.
That too, in 30 to 45 seconds.
So while preparing for an exam of this caliber,focus on
learning math concepts and math reasoning skills.
One of the math reasoning skills, you must hone, is Playing with numbers.
In an auditorium, 360 chairs are to be set up in a
rectangular arrangement with x rows of exactly y chairs each. If the only other
restriction is that 10 < x < 25, how many different rectangular
arrangements are possible?
A. 4 B. 5 C.6 D.8 E.9
This sum is based on number properties. There are two
methods to solve this problem.
Method 1 - the conventional way
You should know the concept of prime factorization.
As per the question
X rows x Y chairs = 360
The product of two numbers = 360
We can say that X and Y are integers.
Now Let's find the prime factorization of 360
360 = 2 x 2 x 2 x 3 x 3 x 5
As per the condition given in the question
The value of x should lie between 10 and 25.
The value of X should be a combination of the prime factors
of 360
360 = 2 x 2 x 2 x 3 x 3 x 5
Pick few of the above numbers and find the product ( the product should lie between 10 and 25)
2 x 2 x 3 = 12
3 x 5 = 15. and so on...
Hence X can have values 12, 15,18, 20,24
x = 12 & y = 30
x = 15 & y = 24
x = 18 & y = 20
x = 20 & y = 18
x = 24 & y = 15
There are five such possibilities
Let us say you didn’t know the concept of prime factorization, then you can play with numbers and arrive at the answer.
X is a number between 10 and 25
Possible values of x
11 12 13 14 15 16 17 18 19 20 21 22 23 24
(Product of one of these numbers) x (a new number) should
give 360
Did you notice that there are prime numbers in the middle.
None
of the prime numbers divide 360 - 13,17,19, 23
Rule out the primes
Whats left.............
12 14 15 16 18 20 21 22 24
(Product of one of these numbers) x (a new number) should give 360
The number should divide 360 and give an integer.. take one number at a time
360 /12 .. its divisible ... keep it..
360/14 = 360/(7x2) is not an integer ....360 is not divisible
by 7.. rule it out
360/16 = 360/(4x4) is not an integer... 360 is not divisible
by 4 twice
360/21 = 360/(7x3) is not an integer....360 is not divisible
by 7
360/22 = 360/(2x11) is not an integer...360 is not divisible
by 11
Whats left..
12 15 18 20 24
Hence
There are five such possibilities
you can ace this section...
If you need any help math help in your GMAT prep... Contact me...
My contact details are here:
LinkedIn profile : https://www.linkedin.com/in/georgeanand/
Take the Reading comprehension, sentence correction, math and critical reasoning test
Test duration is 10 -15 mins.
Ping me your scores , we can devise a study plan together
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LinkedIn profile : https://www.linkedin.com/in/georgeanand/
Math is tough for some of us.
The reason - The way, math was taught to us in school or college.
Can it be mastered now?
Yes, you can...
Your ability to
So if you are taught skills ( Skills are different from math concepts), you will be fine.
Ping me if you would like to know more about the math skill-development course .
My contact details are here:
LinkedIn profile : https://www.linkedin.com/in/georgeanand/
So how we do work on our math skills. Here are 3 ways, which can help you hone your general math skills
For example, if a dress that’s regularly $50 is on sale for 30% off, what is the sale price?
Do simple calculation.
Or if you have to travel 20 miles. You are going at a speed of 20 miles per hour. How long will you take?
20+30+45+60 = ??? don’t use calculator.
What is 15 squared or what is 20 squared…
Everyday spend 5 - 10 minutes working on basic computation
Always picture a math problem.
Make few circles/ draw connections/ some stick figures….
Here are sample images for math problems
If you have any queries regarding math preparation.. ping me
Happy learning...
Here are some tools for 700+
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GMAT is one of the most revered standardized tests, dreaded by most, tamed by some, few have a clear understanding of how and how long to prepare for the test. Any gap in preparation and you are in for a shock; retake a costly mistake. Do it right the first time itself.
Use every weapon in your armory to improve your score even by 10 points.
A verbal section has 36 questions on grammar, reading comprehension and critical reasoning. and a math section that comprises 31 questions based on fundamental math concepts and data sufficiency.
If you need help in GMAT verbal preparation, Feel free to ping me..
Here are 4 must to do activities, if you are starting your GMAT preparation today.
Here is the link
https://www.mba.com/exam-prep/gmat-official-starter-kit-practice-exams-1-and-2-free
Analyze the scores. Don’t look at the answers, as you will need to do this same test again.
Observe the number correct vs number wrong.
If you need in-depth analysis, send me the scores...
Book a web-meeting here: Fill this form . mention your scores.
Tricky question.
Keep these pointers in mind while taking a call.
Time
If you are starting cold, you will spend significant time to get into the GMAT thinking mode.
Under a mentor:
The time to get into prep mode will be faster, as there will be knowledge transfer from the tutor.
Material
If you search for GMAT material, you will get plenty of options. Book/videos/tests/etc…. Which material is sufficient? Which material is apt for you?
Under a mentor:
The tutor will assess you and give you the right resources based on your strengths and weakness. Focus your energy on preparation instead of resource collection....
Study plan
How many hours do I study, what do I study first…. What do I study next…
Under a mentor:
The tutor will design a comprehensive custom study plan. The plan will bring a structure to your preparation.
Doubt clarification
There are lots of forums where you can post your doubts and get them clarified. However, a mentor will help you if
Under a mentor:
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Accountability
You will get results, only if you are accountable. If there is no accountability, then you will be preparing with no targets. No end dates.
Under a mentor:
Keep roughly 20+hrs per week for preparation.
While preparing for a competitive exam like GMAT, you need to focus on additional skills such as
And more…
Solving only math and verbal questions will not help you ace the exam. Your test taking skills also matters.
If you need help in GMAT preparation, Feel free to ping me..
GMAT tests your logical skills as well as your knowledge of math concepts. To score high, you need to remember various formulas, theorems. Also you need to master critical problem-solving skills.
Today I am going to take you through one problem -solving skill –
I am going to show you, two ways to solve this sum
Method 1 : The traditional approach
You need to choose the numbers which negate each other
For example Row 6 column 6 = 36.
Row 5 column 6 = -30 and Row 1 column 6 is -6
So 36+ (-30-6) =0.
You need to choose the right numbers
I have highlighted the different combinations with letters
1J |
-2I |
3H |
-4J |
5D |
-6A |
-2 |
4G |
-6C |
8G |
-10I |
12I |
3J |
-6B |
9H |
-12H |
15E |
-18B |
-4F |
8G |
-12F |
16F |
-20E |
24B |
5E |
-10 |
15 |
-20G |
25D |
-30D |
-6 |
12 |
-18C |
24C |
-30A |
36A |
Numbers left = 12 15 -6 -10 -2
Sum = 9
This method takes a long time
Method 2: Pattern recognition
This approach is a lot faster.
If you look at the numbers column-wise can you see a pattern(ignore
signs)
column 1: 1 2,3,4,5,6
column 2: 2x1,2x2,2x3,2x4,2x5,2x6
.
.
column 6: 6x1,6x2,6x3………..6x6
When the signs are inserted, then a pattern emerges i.e. = 1-2+3-4+5-6
lets calculate the sum of the repeating pattern 1-2+3-4+5-6 = -3
Hence column 1 adds upto -3
Next column will be -2+4-6+8-10+12 = -2 x(1-2+3-4+5-6)= -2x-3
= 6
Next column will be 3 x(1-2+3-4+5-6)= 3 x-3 = -9
Next column will be -4 x(1-2+3-4+5-6)= -4 x-3 = 12
Next column will be 5 x(1-2+3-4+5-6)= 5 x-3 = -15
Next column will be -6 x(1-2+3-4+5-6)= -6 x-3 = +18
Answer = -3+6-9 +12-15+18 = 9
If you want to maximize your math scores in the GMAT.. Lets have a chat...
1. Writing a summary – rewording a paragraph in your own words
2. Observing the structure of the passage
3. Identifying clue words.
These are 3 of the 10 major skills, you need to hone during GMAT preparation.
If you need any help in GMAT preparation. Ping me.
This skill involves rewording the paragraph in your own words.
While reading a paragraph, you need to observe
A summary should be 1 or 2 lines long.
Lets take an example
Example 1
There are times when the night sky glows with bands of color. The bands may begin as cloud shapes and then spread into a great arc across the entire sky. They may fall in folds like a curtain drawn across the heavens. The lights usually grow brighter, then suddenly dim. During this time the sky glows with pale yellow, pink, green, violet, blue, and red. These lights are called the Aurora Borealis. Some people call them the Northern Lights. Scientists have been watching them for hundreds of years. They are not quite sure what causes them. In ancient times people were afraid of the Lights. They imagined that they saw fiery dragons in the sky. Some even concluded that the heavens were on fire.
Summary:
The Aurora Borealis, or Northern Lights, are bands of color in the night sky. Ancient people thought that these lights were dragon on fire, and even modern scientists are not sure what they are.
Notice:
There are times when the night sky glows with bands of color. The bands may begin as cloud shapes and then spread into a great arc across the entire sky. They may fall in folds like a curtain drawn across the heavens. The lights usually grow brighter, then suddenly dim. During this time the sky glows with pale yellow, pink, green, violet, blue, and red. These lights are called the Aurora Borealis. Some people call them the Northern Lights.Scientists have been watching them for hundreds of years. They are not quite sure what causes them. In ancient times people were afraid of the Lights. They imagined that they saw fiery dragons in the sky. Some even concluded that the heavens were on fire.
1. The lines in blue is factual information.
In GMAT they rarely ask you questions based on factual information. So this part can be ignored.
2. The line in red is the main idea.
The whole paragraph talks about Aurora Borealis. So main idea can be “description of Auora Borealis”
Further
3. You can notice two opinion statements. These lines are underlined.
Opinion 1: Scientists are not sure, what causes them
Opinion 2: Ancient people are afraid.
So the summary of this paragraph has two components: main idea+ opinions.
Some paragraphs may not have opinions.
Note*
In your preparatory phase, take notes. Write down the summary of each paragraph. When you start taking computer adaptive tests, you wont have time to jot down the summaries on paper. Instead, you will be able to frame the summaries in your mind.(To reach this stage, you need to do extensive practice though.)
It is imperative you observe the structure/layout of the passage.
You need to identify the link/relationships that connect the lines in the paragraph.
For example a paragraph may follow this structure
Or
So on and so forth
This skill(identifying the layout) is essential to ace the critical reasoning and the reading comprehension section of the exam
Let us take an example and observe the layout
Read the passage and write the layout
Purebred cows native to Mongolia produce, on average, 400 liters of milk per year; if Mongolian cattle are crossbred with European breeds, the crossbred cows can produce, on average, 2,700 liters per year. An international agency plans to increase the profitability of Mongolia’s dairy sector by encouraging widespread crossbreeding of native Mongolian cattle with European breeds.
The layout of the passage is as follows:
Purebred cows native to Mongolia produce, on average, 400 liters of milk per year; if Mongolian cattle are crossbred with European breeds, the crossbred cows can produce, on average, 2,700 liters per year. An international agency plans to increase the profitability of Mongolia’s dairy sector by encouraging widespread crossbreeding of native Mongolian cattle with European breeds.
1. Underlined line in brown is the objective /conclusion
2. Line in red is the plan/ reason which leads to the conclusion
3. Line is green is a hypothetical opinion
Note*
To tackle a critical reasoning question, you need to identify the conclusion first.
So layout here is
Lets take a complex passage
Rain-soaked soil contains less oxygen than does drier soil. The roots of melon plants perform less efficiently under the low-oxygen conditions present in rain-soaked soil. When the efficiency of melon roots is impaired, the roots do not supply sufficient amounts of the proper nutrients for the plants to perform photosynthesis at their usual levels. It follows that melon plants have a lower-than-usual rate of photosynthesis when their roots are in rain-soaked soil. When the photosynthesis of the plants slows, sugar stored in the fruits is drawn off to supply the plants with energy. Therefore, ripe melons harvested after a prolonged period of heavy rain should be less sweet than other ripe melons.
Now draw a layout
Check your answer here
Can you see how the lines are inter-connected?
Line 1 leads to line 2… which leads to line 3…and so on.
The last line is the conclusion.
So focus on the layout of the paragraph
There are clue words which are strategically placed in the given paragraph. These words can help you identify the relationships between lines.
Some of the clue words are
And,because,hence,thus,therefore, yet….
Lets take an example
I got fever because I ate ice cream.
Here “because” indicates a cause and an effect.
I ate ice cream is the reason ..I got fever is the effect
Now lets take a sentence correction question
A peculiar feature of the embryonic mammalian circulatory system is that in the area of the heart the cells adhere to one another, beating in unison yet adopting specialized orientations exclusive of one another.
Here the clue word is “yet”
“beating in unison” yet “ adopting specialized”
Here “yet” is used as a conjunction . It means but or nevertheless.
In-spite of beating together the heart cells adopt different orientations which are not related
These are 3 of the 10 major skills you need to hone while preparing.
If you need any help in GMAT preparation. Ping me.