#11
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Quote:
stay happy |
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#12
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Prime Numbers : The numbers that can be divided by itself and by 1 only.
Examples : 2, 3, 7, 11, 13 , 17, 19 and so on. Some important points for mcqs : i. The only even Prime number is 2. ii. 1 is NOT a prime number. iii. Product of two Prime numbers can NEVER be a Prime number. Example 2 multiply by 3 = 6 which is NOT a Prime number. iv. Sum of Prime number may OR may not be a prime number. v. Difference between two Prime numbers may OR may not be a Prime number. If you have any query then ask me without any hesitation. Fractions and Decimals : A number lying between zero and 1 OR between zero and -1 is a fraction . A fraction is just another way of expressing division. the expression 12/17 is exactly the same thing as 12 divided by 17. y/z = y divided by z. In y/z, y is known as " Numerator " and z is known as " denominator" Positive fraction = A number lying between zero and 1 is a positive fraction. Negative fraction = A number lying between zero and -1 is a negative fraction. Proper fraction = If Numerator is less than denominator in a fraction then is called as proper fraction. Improper fraction = If the Numerator is greater than denominator is a fraction then it is called as improper fraction. Mixed fraction = Combination of a whole number and a fraction. e.g 2 4/5. 2 is whole number and 4/5 is a fraction. Common Factor : Common factor of two or more numbers is a number that divides these number. For example. Common factor of 6, and 8 is 2. why ? Because 2 divides both 6 and 8. # cannot be a common factor of 6 and 8 because 6 can be divided by 3 ( 6/3 =2) but 8 cannot be divided by 3. So 2 is the only common factor of 6 and 8. Now the question is , how to find the common factor. This procedure is very simple. Break down both the numbers to their prime factors to see what they have in common. then multiply the shared prime factors to find all the common factors. Example : what are the common factors of 135 and 225 ? answer : First of all find the prime factors of 135 and 225. 135 = 3*3*3*5 ( star denotes multiplication sign) 225 = 3*3*5*5 Now the shared numbers are = 3*3*5, ( common factors) Thus aside from 3 and 5, the remaining common factors can be found by multiplying 3, 3 and 5 in every possible combination. e.g 3*3 =9 3*5= 15, 3*3*5= 45... means 9, 15, 45 and so on are common factors of 135 and 225 Regards Last edited by Arain007; Thursday, June 20, 2013 at 09:43 PM. Reason: merged |
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#13
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Quote:
Sir your work will only be helpful if you please continue this effort on.
__________________
Its not the time of triumph that matters rather its the time of trial that matters. |
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#14
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INSHALLAH i shall continue this but the pace may be a bit slow because i have a full time job but i promise to deliver as much as i can. Secondly there may be some mistakes in my posts, so if anybody find any, he/she can highlight those mistakes. The basics of math has been explained briefly in a book available in PDF format on this link. http://www.cssforum.com.pk/css-dates...ning-test.html If anyone has query regarding math or other subjects, he/she can post here. |
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#15
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any good book to tackle math ?
__________________
follow your heart :) |
#16
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Barron's GRE book OR Dogar's GAT GENERAL book.
Addition and subtraction of fractions : Fractions having same denominator : To add two or more fractions having the same denominator, simply add up the numerators and put the sum over the common denominator. Example : 3/5 + 4/5 = 3+4 / 5 = 7/5 similarly subtraction 7/8 - 3/8 = 7-3/8 = 5/8 Fractions having different denominators : All of the fractions should be given same denominator before addition OR subtraction. For getting common denominator multiply each fraction by a number that will give it a denominator in common with the other. an example will explain it better. Example : 1/2 + 2/3 = ? 1/2 * 3/3 + 2/3 * 2/2 = 3/6 + 4/6 = 3+4/6 = 7/6 Multiplication of fractions : To multiply fractions, just multiply the numerators and put the product over the product of denominators. Example : 3/4 * 4/5 = 3*4/4*5 = 12/20 OR 3/5 Last edited by Arain007; Sunday, June 23, 2013 at 09:27 AM. Reason: merged |
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#17
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Quote:
__________________
Its not the time of triumph that matters rather its the time of trial that matters. |
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#18
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Quote:
Thanx for correction brother. |
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#19
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Dividing fractions :
To divide one fraction by another, invert the second fraction and then multiply. Example : 3/4 divide by 4/5 Solution : Invert the second fraction, i-e 5/4 and now multiply with 3/4. 3/4 * 5/4 = 15/16 Comparing fraction : Screening test may have some questions of comparing fractions like , compare 3/4, 7/8, 9/11, which one is the greatest fraction ? solution : first take two fractions among the three given in the question. 3/4 and 7/8. Multiply numerator of the first(3/4) with denominator of the second(7/8). i-e 3 * 8 = 24, similarly multiply numerator of the second(7/8) with the denominator of the first(3/4). i-e 7 * 4 = 28. since 28 is greater than 24 so 7/8 is greater than 3/4. Similarly we can repeat the same procedure for the 7/8 and 9/11. Numerator of 7/8 is multiplied with denominator of 9/11. 7 * 11 = 77 Numerator of 9/11 is multiplied with denominator of 7/8. 9 * 8 = 72 since 77 is greater than 72 so 7/8 is greater than 9/11. so 7/8 is greatest of the three given fractions. I am giving you a practice question. which one is greatest fractions among 5/6, 8/9, 9/12 ? |
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#20
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Quote:
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