ECAT Mathematics Chapter 10 online mcq test with answers for chapter 10 (Mathematical Inductions)

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ECAT Mathematics Chapter 10 Important MCQ's

Sr.#	Question	Answer
1	The coefficient of xn in the expansion of (1-x)-1 is	A. (-1)n2n B. 1 C. (-1)n(n+1) D. (n+1)
2	n² - 1 divisible by 8 when n is	A. an odd integer B. an even integer C. Irrational D. Prime Number
3	(1 + 2x)⁴= ______	A. 1 + 4x + 6x²+ 4x³+ x⁴ B. 1 - 4x + 6x²- 4x³+ x⁴ C. 1 - 8x + 24x²- 32x³+ 16x⁴ D. 1 + 8x+ 24x²+ 32x³+ 16x⁴
4	When we expand (a + 2b)⁵then	A. a⁵+ 10a⁴b + 40a³b²+ 80a²b³+ 80ab⁴+ 32b⁵ B. a⁵+ a⁴b + a³b²+ a²b³+ ab⁴+ b⁵ C. 5a⁵+ 4a⁴b + 3a³b²+ 2a²b³+ 1 ab⁴+ b⁵ D. None
5	The greatest integer which divides the number 101¹⁰⁰- 1 is	A. 100 B. 1000 C. 10000 D. 100000
6		A. 405 / 256 B. 504 / 259 C. 450 / 263 D. None
7		A. 3/8 B. 7/8 C. 1/8 D. None
8	The middle term of the expansion (1 + 2x)⁶is ______	A. 1st term B. 4th term C. 2nd term D. 5th term
9	The coefficient of the second term of (a+b)⁴ is	A. 1 B. 9 C. 3 D. 5
10	a + x is ______	A. A trinomial B. A binomial C. A monomial D. None of these

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ECAT Pre Engineering MCQ Test With Answer for Chapter 10 Mathematics

MCQ's Test For ECAT Mathematics Chapter 10 Mathematical Inductions

ECAT Mathematics Chapter 10 Mathematical Inductions

The expansion of (1 - 3x)-1is valid if

The coefficient of the third term of (8a-b)1/3, after simplification is

The proposition S(k+1) is true when ______ is true∀K∈N

The middle term of [1/x-x]10 is

The proposition S(n) for any n∈ N is only true if k∈ N and

The coefficient of xn in the expansion of (1-2x)-1 is

If n is not natural number, then the expansion (1 + x)nis valid for

The last term of (1+2x)-2

(1 - x)3= ______

(51)4is equal to

If (1+x-2x3)6= 1+a1x + a2x2+ a3x3+ ..... the the value of a2+ a4+ a6+ .....+a12will be

The coefficient of x18 in (ax4-bx)9 after expansion is

If a statement S(n) is true for n = 1 and the truth of S(n) for n = k implies the truth of S(n) for = k + 1, then S(n) is true for all

The sum even binomial coefficient of (3+2x)5 is ______term

The sum of even coefficient in the binomial expansion is

The expansion of (1 + 2x)-2is valed if

The 7th term of (38 + 64x)11/4 is

The term involving x4 in the expansion (3-2x) is

The fifteenth term of (3-a)15 is

If the expansion of (1 + x)20, then co-efficient of rth ad (r + 4)th term are equal, then r is

The coefficient of x10in the expansion (x3+3/x2)10is

The first three terms in the expansion of (1 + x)3are

1st four terms of the expansion (1-x)-2are

There are two middle terms in the expansion of (a+x)n if n is

nC2= exists when n is ______

The coefficient of the second term of (a+b)4 is

If the sum of co-efficient in the expansion of (a+b)nis 4096, then the greatest co-efficient in the expansion is

If n is any positive integer then n! > 2n-1for

(0.90)1/2is equal to

If n∈Z+ then(a+x)n is a/an

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ECAT Mathematics Chapter 10 Important MCQ's

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The expansion of (1 - 3x)^-1is valid if

The coefficient of the third term of (8a-b)^1/3, after simplification is

The middle term of [1/x-x]¹⁰is

If n is not natural number, then the expansion (1 + x)ⁿis valid for

(1 - x)³= ______

(51)⁴is equal to

If (1+x-2x³)⁶= 1+a₁x + a₂x²+ a₃x³+ ..... the the value of a₂+ a₄+ a₆+ .....+a₁₂will be

The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is

The expansion of (1 + 2x)^-2is valed if

The 7th term of (3⁸ + 6⁴x)^11/4 is

The term involving x⁴ in the expansion (3-2x) is

The fifteenth term of (3-a)¹⁵ is

If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is

The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is

The first three terms in the expansion of (1 + x)³are

1st four terms of the expansion (1-x)^-2are

ⁿC₂= exists when n is ______

The coefficient of the second term of (a+b)⁴ is

If the sum of co-efficient in the expansion of (a+b)ⁿis 4096, then the greatest co-efficient in the expansion is

If n is any positive integer then n! > 2^n-1for

(0.90)^1/2is equal to