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Mathematics ECAT Pre Engineering Chapter 10 Mathematical Inductions Online Test MCQs With Answers
Question # 1
(51)
4
is equal to
Choose an answer
7065201
8065201
6765201
6565201
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Question # 2
The number of terms in the expansion of (a + b)
9
is
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10
11
9
12
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Question # 3
The greatest integer which divides the number 101
100
- 1 is
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100
1000
10000
100000
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Question # 4
If n is any positive integer ,t hen 2+4+6+......+2 n=
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2
n
-1
2
n
+1
n
2
+1
n(n+1)
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Question # 5
If the exponent in the binomial expansion is 6, then the middle term is
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2nd term
3rd term
4th term
5th term
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Question # 6
The sum of coefficients in the binomial expansion equals to
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2
2
n+1
2
n-1
2
n
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Question # 7
There is no integer n for which 3
n
is
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Odd
even
Natural
Prime
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Question # 8
The sum of first n even number is
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n2
n(n+1)
n+1
n+2
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Question # 9
The middle term of (x-y)
8
is
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25 x
4
y
4
70 x
4
y
4
120 x
4
y
4
97x
4
y
4
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Question # 10
The expansion of (1 + 2x)
-2
is valed if
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| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
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Question # 11
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n
C
r
n+1
C
r+1
n
C
r+1
None
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Question # 12
(0.90)
1/2
is equal to
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0.99
0.90
0.80
0.88
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Question # 13
If n is odd then the middle terms in the expansion of (a + x)
n
are
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Question # 14
When we expand (a + 2b)
5
then
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a
5
+ 10a
4
b + 40a
3
b
2
+ 80a
2
b
3
+ 80ab
4
+ 32b
5
a
5
+ a
4
b + a
3
b
2
+ a
2
b
3
+ ab
4
+ b
5
5a
5
+ 4a
4
b + 3a
3
b
2
+ 2a
2
b
3
+ 1 ab
4
+ b
5
None
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Question # 15
(2.02)4 s equal to
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16
16.6496
17
18
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Question # 16
Choose an answer
10
C
6
10
C
5
10
C
4
None
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Question # 17
The coefficient of the second term of (a+b)
4
is
Choose an answer
1
9
3
5
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Question # 18
The number of terms in the expansion of (a + x)
12
is
Choose an answer
13
12
11
10
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Question # 19
For every positive integers n 1+5+9+....+ (4n - 3) is
Choose an answer
n(2n - 1)
(2n - 1)
n - 1
n
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Question # 20
If n is any positive integer then n
2
> n + 3 for
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Question # 21
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Question # 22
The first three terms in the expansion of (1 + x)
-2
are ______
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1 - 2x + 3x
2
1 - 2x - 3x
2
1 + 2x + 3x
2
-2 -2x + 3x
2
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Question # 23
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
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1594
792
924
2924
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Question # 24
If n is any positive integer then 4
n
>3
n
+ 4 is true for all
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Question # 25
If n is any positive integer then n! > 2
n-1
for
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Question # 26
The 5th term of (3a-2b)
-1
is
Choose an answer
77b
2
/a
5
16b
2
/243 a
5
17b
4
/43a
5
25b
3
/43a
5
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Question # 27
The middle term of [1/x-x]
10
is
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-152
-252
371
-421
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Question # 28
If nis positive integers, then 2
n
>2n+1, only when
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n≤ 3
n≥ 3
n≤ 2
n≤ 1
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Question # 29
The expansion (1 + x)
-3
holds when
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|x| > 1
|x| < 1
x < 1
x > 1
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Question # 30
Number of terms in the expansion of (a+x)
n
is
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n - 1
n + 1
n + 2
n + 3
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Question # 31
If n is any positive integer then 2
n
> 2(n + 1) is true for all
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