| 'Strategy Time' with Ur mentor |
Hi there. How many of you like exploring math? Not many I guess.
I invite you to explore math with me. This page will present challenging problems and science of thinking* ways to crack them.
Science of thinking skill- problem analysis through questions
Let us list as many questions (apart from the question statement)as we can, from the given data.
First let's dissect the problem. Don't worry about the solution right now.
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| Problem 1 |
| ABC is an equilateral triangle with a side of 1cm. What is the area of triangle AED in sqcm? |
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| I have dissected a portion of the problem and listed some questions. |
How many equilateral triangles are there?
What is AD?
What is DE?
What is area of triangle BED?
What is area of triangle ADC?
What are the formulae associated with equilateral triangle?
Now add more questions to the list
Also answer questions posted by others
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| Your Responses |
John: Triangle AED is equilateral. AD is the height of triangle ABC
Raj : Triangle AED cant be equilateral because sides are not equal.DE is the height of the triangle ABD
Mary: Area of the equilateral triangle is sqrt(3) .side^2/4. Altitude is = sqrt(3) .side/2
Santhosh: What is the length of BE?
Raj: BE is half of AB = 0.5cms
John : Triangle ABD is not equilateral. So BE can't be half of AB. I guess we have to use the 30-60-90 formula to arrive at an answer. |
| Problem 2 |
| If A walks to and fro from his house to railway station at a speed of 10 miles/hr, he reaches his home at 17:30hrs. If he travels at 5 miles/hr he reaches home at 19:30hrs. What time will he reach his home if he travels at 4 miles/hr? |
| A. 20:30 B. 19:45 C. 20:15 D.20:45 E.20:50 |
What other data is implied in the problem?
What data can be used to check the implied data?
What is the relationship between the given and implied parameters?
What equation can be arrived at?
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| Problem 3 |
| Replace a,b,c,d,e,d,f,g with numbers from 0 -9 such that a.b.c =b.d.f = e.f.g |
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| What is the value of b |
| A.2 B.3 C.4 D.2 E.3 |
How are a,b,c,d.g related to each other?
Which numbers from 0-9 do not fit the grid?
What are the possible values that b can take?
Which alphabet can take a unique value?
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| Problem4 |
| abcd is a four digit number. In how many ways is it possible to represent the four digit number such that b < c < d? |
| A. less than 1000 ways |
B. 1000 to 3000 ways |
| C. 3001 to 5000 ways |
D. 5001 to 9000 ways |
| E. More than 9000 ways |
|
In how many ways can you represent a?
If d is 9 then in how many ways can you represent bcd?
If d is 9 and c is 8, in how many ways can you represent b?
If d is 8 then in how many ways can you represent bcd? |
| Problem 5 |
| Sum of the series 12-22+32-42......20012 -20022+20032-20042 is |
| A. 20007006 |
B.1005004 |
| C. 200506 |
D. 105004 |
| E. None of these |
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What are the possible ways you can group the numbers into pairs such that you get a meaningful pattern?
What are the possible algebraic identities we can use?
What are the formulae you can use to compute the sum of the series?
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| Watch this space for solutions, science of thinking way. |
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Core concepts covering all areas in
simplified form with illustration and
easy to understand explanatory notes
relevent to all MBA admission tests. |
| S.No |
Book
Name |
Download
|
| 1 |
Algebra
Workbook |
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| 2 |
Arithmetic
Workbook |
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