10 important simplification questions for competitive exams

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simplification questions for competitive exams,One of the basic fundamentals of aptitude is a simplification. it is easy but a little bit tricky, just connected with us we will show some tips and tricks, it comes on every competitive exam. let us know about the basics of simplification.

this is the basic formula “VBODMAS” you have to follow the rule for simplification.

V-VENCULAM BAR

B-BRACKET in bracket there is also order  means first come

() then {} and at last [] this is the order.

O-OF

D-DIVISION

M-MULTIPLICATION

A-ADDITION

S-SUBTRACTION

RATIONALIZATION:

In rationalization, if you get a number in under root into the denominator then you just multiply it by the opposite of its number.

simplification questions for competitive exams

BASIC FORMULAE OF ALGERBRA:

$${(a + b)^2} = {a^2} + 2ab + {b^2}$$

$${(a – b)^2} = {a^2}  – 2ab  + {b^2}$$

$${a^2} + {b^2} = {(a + b)^2} – 2ab$$

$${a^2} + {b^2} = {(a – b)^2} + 2ab$$

$${a^2} – {b^2} = (a+b)(a-b)$$

$$4ab = {(a + b)^2} – {(a – b)^2}$$

$$ab = {({{a + b} \over 2})^2} – {({{a – b} \over 2})^2}$$

$${(a + b)^3} = {a^3} + 3{a^2}b + 3a{b^2} + {b^3}$$

$${(a  – b)^3} = {a^3}  – 3{a^2}b + 3a{b^2}  – {b^3}$$

$${(a + b + c)^2} = {a^2} + {b^2} + {c^2} + 2ab + 2bc + 2ca$$

$${a^3} + {b^3} = (a + b)({a^2} – ab + {b^2})$$

$${a^3} – {b^3} = (a + b)({a^2} + ab + {b^2})$$

$${a^3} + {b^3} + {c^3} = (a + b + c)({a^2} + {b^2} + {c^2} – ab – bc – ca) + 3abc$$

In simplification, square and cube values of numbers will help you a lot if you can memorize them.

square

simplification questions for competitive exams

 

Simplification quiz for you

Results

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#1. If m+(1/m)=4 then find out the value of m-(1/m)

#2. Find the value of $$\{ {({3^6})^6} \div {({3^4})^7} \times {3^4}\} $$

#3. If a2+b2=2a then find the value of $${{{a^2} + 2a + {b^2}} \over {{a^3} - 2a}}$$

#4. Find the value of x $${36^3} \times {4096^{1/2}} \times 72 \times 18 \div ({9^3} \times {72^2}) = {4^x}$$

#5. Find the value of (m+n) if $$\sqrt {28 - 6\sqrt 3 } = \sqrt 3 m + n$$

#6. Find the value of $${{\sqrt {0.0016} \times \root 3 \of {8000000} } \over {\root 3 \of {0.000512} \times \root 3 \of {0.064} }}$$

#7. Find the value of $$(1 - {1 \over 2})(1 - {1 \over 3})(1 - {1 \over 3})..........(1 - {1 \over {100}})$$

#8. If a=4.36, b=2.39, c=1.97 then find the value of $${a^3} - {b^3} - {c^3} - 3abc$$

#9. Simplify the equation $${1 \over {1 + \sqrt 2 }} + {1 \over {\sqrt 2 + \sqrt 3 }} + {1 \over {\sqrt 3 + \sqrt 4 }} + ...... + {1 \over {\sqrt {15} + \sqrt {16} }}$$

#10. Find the value of x if (3.2% of 500+2.4 % of x)=288

finish

for more quiz click on the link

why simplification is important for competitive exams?

the basic things and the most important for competitive exams is a simplification, we know all the basics formulas throughout the article if you are prepared for competitive exams you have practice as a regular basis simplifiucation if you really want to crack the prelims and mains, just connect with us for more quizzes

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