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

Top Scorers Of ECAT Mathematics Chapter 10 Mathematical Inductions MCQ`s Test

H

Heer 13 - Dec - 2023 02 Min 42 Sec 110/120
A

Abid Ali 21 - Feb - 2024 02 Min 59 Sec 105/120
Z

Zia Ullah Chahal 07 - Mar - 2024 05 Min 13 Sec 85/120
D

daud minhas6264 12 - Feb - 2023 33 Min 54 Sec 85/120
M

Muqadas Zahra 10 - Apr - 2022 10 Min 52 Sec 80/120
Z

Zehra 25 - Apr - 2024 14 Min 30 Sec 80/120
?

??????? ???? 19 - May - 2024 16 Min 02 Sec 80/120
I

Ibrar 10 - Jan - 2018 24 Min 26 Sec 80/120
S

Sana Hashim 17 - May - 2022 00 Min 05 Sec 70/120
S

syed muhammad aans irfan 05 - Jan - 2025 19 Min 05 Sec 65/120
U

Umair Sajid 09 - Mar - 2024 05 Min 04 Sec 60/120
U

Unknown 22 - May - 2024 17 Min 48 Sec 60/120
M

Muhammad Abdur.Rahman Khan 29 - Aug - 2024 11 Min 42 Sec 55/120
A

Ahmad Hassan 28 - Feb - 2024 15 Min 27 Sec 55/120
M

Malik Arslan 19 - Jun - 2022 20 Min 11 Sec 50/120

Sr.#	Question	Answer
1	If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______	A. B. C. D.
2	(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
3	If x+y+z+......+2n = 2n+1-1∀n∈W,then cube root of xyz is equal to	A. 1 B. 4 C. 2 D. 8
4	The seventh term of (x3+1/x)8is	A. 71 B. -22 C. 27 D. 28
5	ⁿC₂= exists when n is ______	A. B. C. D.
6	For n€ N,2^n>2 > n is to only when	A. n<2 B. n≤ 4 C. n≥ 4
7	The middle term of [1/x-x]¹⁰is	A. -152 B. -252 C. 371 D. -421
8	If the expansion of (1 + x)²⁰, then co-efficient of rth ad (r + 4)th term are equal, then r is	A. 7 B. 8 C. 9 D. 10
9	n² - 1 divisible by 8 when n is	A. an odd integer B. an even integer C. Irrational D. Prime Number
10	The fifteenth term of (3-a)¹⁵ is	A. -17a¹² B. -945a¹³ C. -941a¹³ D. -515a¹²
11		A. 28 / 81 B. 28 / 243 C. 81 / 28 D. 243 / 82
12	The last term of (1+2x)-2	A. (-1)-2 (2x)-2 B. (-1)-4(-2x)-2 C. (-1)-3(2x)-3 D. Does not exist
13	The sum of the odd coefficients in the expansion of (a + x)⁴is	A. 14 B. 12 C. 8 D. 4
14	The coefficient of x¹⁸ in (ax⁴-bx)⁹ after expansion is	A. 84a³ b⁶ B. 22a³b⁶ C. 27a⁴b⁵ D. 28a³b⁶
15	The first three terms in the expansion of (1 - x)^-2are	A. 1 - 2x + 3x² B. 1 - 2x - 3x² C. 1 + 2x + 3x² D. -2 - 2x +3x²
16	The first three terms in the expansion of (1 + x)^-1are	A. 1 + x + x² B. 1 - x - x² C. -1 -x + x² D. 1 - x + x²
17	1st four terms of the expansion (1-x)^-2are	A. 1 + 2x + 3x²+ 4x³ B. 3x²+ 2x + 1 C. 1 + 3x + 4x²+ 5x³ D. None of these
18	If n is any positive integer ,t hen 2+4+6+......+2 n=	A. 2ⁿ-1 B. 2ⁿ+1 C. n²+1 D. n(n+1)
19	If n is any positive integer then n! > 2^n-1for	A. B. C. D.
20	The coefficient of x¹⁰in the expansion (x³+3/x²)¹⁰is	A. 1700 B. 17023 C. 17027 D. 17010
21	(51)⁴is equal to	A. 7065201 B. 8065201 C. 6765201 D. 6565201
22	There is no integer n for which 3ⁿis	A. Odd B. even C. Natural D. Prime
23	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	A. Real numbers n B. Integers n C. Positive integers n D. None of these
24	7²ⁿ+ 3^n-1. 2^3n-3is divisible by	A. 24 B. 25 C. 9 D. 13
25	If nis positive integers, then 2ⁿ>2n+1, only when	A. n≤ 3 B. n≥ 3 C. n≤ 2 D. n≤ 1
26	If n is any positive integer then 2ⁿ> 2(n + 1) is true for all	A. B. C. D.
27	(x3-1/x)12	A. 295 B. 495 C. 395 D. 722
28	The coefficient of the third term of (8a-b)^1/3, after simplification is	A. -228 B. 1/288 C. 1/220 D. -1/177
29	The sum of the cubes of three consecutive natural number is divisible by	A. 9 B. 6 C. 5 D. 10
30	The term involving x⁴ in the expansion (3-2x) is	A. 217x⁴ B. 15120x⁴ C. 313x⁴ D. -25x⁴