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  • Quantitative Aptitude Practice Algebra Study Material

Digitization help student to explore and study their academic courses online, as this gives them flexibility and scheduling their learning at their convenience. Kidsfront has prepared unique course material of Algebra Exponents and Powers for Quantitative Aptitude Practice student. This free online Algebra study material for Quantitative Aptitude Practice will help students in learning and doing practice on Exponents and Powers topic of Quantitative Aptitude Practice Algebra. The study material on Exponents and Powers, help Quantitative Aptitude Practice Algebra students to learn every aspect of Exponents and Powers and prepare themselves for exams by doing online test exercise for Exponents and Powers, as their study progresses in class. Kidsfront provide unique pattern of learning Algebra with free online comprehensive study material and loads of Quantitative Aptitude Practice Algebra Exponents and Powers exercise prepared by the highly professionals team. Students can understand Exponents and Powers concept easily and consolidate their learning by doing practice test on Exponents and Powers regularly till they excel in Algebra Exponents and Powers.


Exponents and Powers
If a, b ∈ R and n ∈ N, then (a+b)∧n = ____________ .

a) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
b) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 - …………. - nCn a∧0 b∧n
c) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 - …………. + nCn a∧0 b∧n
d) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - nCn a∧0 b∧n



Answer
Correct Answer Is : NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
Solution Is :
If the index of the binomial is n then the expansion contains ________ term.

a) N
b) N - 1
c) N + 1
d) ( - n )



Answer
Correct Answer Is : N + 1
Solution Is :
In each term the sum of indices a and b is ___________ n.

a) Not equal to
b) Equal to
c) Some times
d) Always



Answer
Correct Answer Is : Always
Solution Is :
True or false: in (a + b)∧2 if n is even then the number of terms in the expansion is odd.

a) TRUE
b) FALSE
c) Maybe
d) None of these



Answer
Correct Answer Is : TRUE
Solution Is :
Coefficients of the term in the binomial expansion equidistant from both the ends are?

a) Equal
b) Opposite
c) Not equal
d) Different



Answer
Correct Answer Is : Equal
Solution Is :
If a, b ∈ R and n ∈ N, then (a-b)∧n = ____________ .

a) NC0 a∧n b∧0 + nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n
b) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. + (-1)∧n nCn a∧0 b∧n
c) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n
d) NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. + nCn a∧0 b∧n



Answer
Correct Answer Is : NC0 a∧n b∧0 - nC1 a∧n-1 b∧1 + …………. - (-1)∧n nCn a∧0 b∧n
Solution Is :
Expand: ( x∧2 + 3y)∧5

a) X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
b) X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4
c) 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
d) X∧10 - 15x∧8y - 90x∧6y∧2 - 270x∧4y∧3 - 405x∧2y∧4 - 243y∧5



Answer
Correct Answer Is : X∧10 + 15x∧8y + 90x∧6y∧2 + 270x∧4y∧3 + 405x∧2y∧4 + 243y∧5
Solution Is :
Evaluate: ( √5 + √3)∧4

a) 124
b) 124 + √15
c) 124 - 32 √15
d) 124 + 32 √15



Answer
Correct Answer Is : 124 + 32 √15
Solution Is :
By using binomial theorem, find the value of (99)∧4.

a) 96059601
b) 96059602
c) 96059603
d) 96059604



Answer
Correct Answer Is : 96059601
Solution Is :
Evaluate: ( √2 + 1) ∧5 - ( √2 - 1)∧5

a) 2
b) 8
c) 28
d) 82



Answer
Correct Answer Is : 82
Solution Is :

Preparation for Exams