Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
Monday, March 30, 2020
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Title : Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
link : Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
Important formula of algebra:
You are now reading the article Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude with the link address https://curlythink.blogspot.com/2020/03/short-tricks-to-solve-approximations.html
Title : Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
link : Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
Tricks to Solve the Approximations
Dear students, to solve the large appear type approximation problems rapidly you lot must retrieve few algebraic formulas which nosotros accept enlisted below.Important formula of algebra:
1. (a+b)^2 = a^2+b^2+2ab
2. (a-b)^2 = a^2+b^2-2ab
3. (a+b)^2 = (a-b)^2+4ab
4. (a-b)^2 = (a+b)^2-4ab
5. (a+b)^3 = a^3+b^3+3ab(a+b)
6. (a-b)^3 = a^3-b^3-3ab(a-b)
7. a^3+b^3 = (a+b)(a^2-ab+b^2)
8. a^3-b^3 = (a-b)(a^2+ab+b^2)
9. (a+b+c)^2 = a^2+b^2+c^2+2(ab+bc+ca)
10. a^3+b^3+c^3-3abc=(a+b+c)(a^2+b^2+c^2-ab-bc-ca)
11. If a+b+c=0 together with thus a^3+b^3+c^3=3abc
Shortcuts Solution of the Questions given below:
Q1. (299.12 + 312.01)^2 / (299.12 + 312.01)
Shortcut Solution: Apply 1st formula:
(299.12 + 312.01)^2 / (299.12 + 312.01)
=(299.12 + 312.01)((299.12 + 312.01)) / (299.12 + 312.01)
=(299.12 + 312.01)
=299+312
=611
Q2. (998.10)^3 + (888.10 )^3 / (998.10)^2+(888.10)^2-(998.10*888.10)
Shortcut Solution: Apply seventh formula:
(998.10)^3 + (888.10 )^3 / (998.10)^2+(888.10)^2-998.10*888.10
=(998.10+888.10 )(998.10)^2+(888.10)^2-998.10*888.10) / (998.10)^2+(888.10)^2-(998.10*888.10)
=998.10+888.10
=998+888
=1886
Q3. (1.33 - 1.22)^2 / (1.33^2 - 1.33*1.22 + 1.22^2)
Shortcut Solution: Apply 2d formula:
(1.33 - 1.22)^2 / (1.33^2 - 1.33*1.22 + 1.22^2)
= (1.33^2 - 1.33*1.22 + 1.22^2) / (1.33^2 - 1.33*1.22 + 1.22^2)
=1
Q4. (11.11)^3+(22.22)^3+(33.33)^3-3*11.11*22.22*33.33 / (11.11)^2+(22.22)^2+(33.33)^2-11.11*22.22-22.22*33.33-33.33*11.11
Shortcut Solution: Apply tenth formula:
(11.11)^3+(22.22)^3+(33.33)^3-3*11.11*22.22*33.33 / (11.11)^2+(22.22)^2+(33.33)^2-11.11*22.22-22.22*33.33-33.33*11.11
=(11.11+22.22+33.33)(11.11)^2+(22.22)^2+(33.33)^2-11.11*22.22-22.22*33.33-33.33*11.11 / (11.11)^2+(22.22)^2+(33.33)^2-11.11*22.22-22.22*33.33-33.33*11.11
= (11.11+22.22+33.33)
=11+22+33
=66
Q5. (5.14)^3 - (3.12)^3 / (5.14)^2+5.14*3.12+(3.12)^2
Shortcut Solution: Apply eighth formula:
(5.14)^3 - (3.12)^3 / (5.14)^2+5.14*3.12+(3.12)^2
= (5.14 - 3.12)(5.14)^2+5.14*3.12+(3.12)^2 / (5.14)^2+5.14*3.12+(3.12)^2
=5.14-3.12
=5-3
=2
Thus the article Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude
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You are now reading the article Short Tricks To Solve The Approximations Problems Inwards Quantitative Aptitude with the link address https://curlythink.blogspot.com/2020/03/short-tricks-to-solve-approximations.html