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ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction Online Test MCQs With Answers
Question # 1
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3/8
7/8
1/8
None
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Question # 2
For each natural number n, n (n+1) is
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an even
an odd
multiple of 3
Irrational
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Question # 3
The fifteenth term of (3-a)
15
is
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-17a
12
-945a
13
-941a
13
-515a
12
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Question # 4
The positive integer just greater than (1+0.0001)
10000
is
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4
5
2
3
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Question # 5
The term involving x4 the expansion (3-2x)7 is
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217 x4
15120x4
313x4
-25x4
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Question # 6
The coefficient of x
18
in (ax
4
-bx)
9
after expansion is
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84a
3
b
6
22a
3
b
6
27a
4
b
5
28a
3
b
6
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Question # 7
n
C
2
= exists when n is ______
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Question # 8
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
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Question # 9
The greatest term in the expansion of (3+2x)
9
, when x=1 is
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4th
4th and 5th
5th
6th
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Question # 10
The first three terms in the expansion of (1 - x)
-1
are
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1 + x + x
2
1 - x - x
2
-1 -x +x
2
1 - x + x
2
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Question # 11
If n is add the expansion (a + x)
n
has middle terms
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2
3
4
5
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Question # 12
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 # 13
(51)
4
is equal to
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7065201
8065201
6765201
6565201
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Question # 14
In the expansion of (x+y)n the coefficient of 5th and 12th terms are equal then n=
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12
n=14
17
n=15
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Question # 15
(x
3
-1/2x)
6
is
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15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
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Question # 16
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2
7
8
12
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Question # 17
If n is any positive integer then 3 + 6 + 9 + ....+ 3n = ______
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Question # 18
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Question # 19
n! > 2
n
-1 is true when
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n≤ 3
n≤ 6
n≥ 4
n≤ 6
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Question # 20
7
2n
+ 3
n-1
. 2
3n-3
is divisible by
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24
25
9
13
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Question # 21
The last term of (1+2x)-2
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(-1)-2 (2x)-2
(-1)-4(-2x)-2
(-1)-3(2x)-3
Does not exist
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Question # 22
n(n-1)(2n-1), for all natural numbers n, is divisible by
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12
6
2
18
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Question # 23
The sum of co-efficient in (1+x-3x
2
)
4163
is
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0
1
-1
None
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Question # 24
If the sum of even coefficients in the expansion of (1+x)n is 128 then
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n=7
n=9
n=8
None
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Question # 25
The sum even binomial coefficient of (3+2x)5 is ______term
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16
30
8
32
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Question # 26
The term independent of x is the expansion (x
3
+1/x)
12
Choose an answer
295
495
395
722
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Question # 27
If | x | < 1, then the first two terms of (1 - x)
1/2
are
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Question # 28
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 # 29
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
Choose an answer
1594
792
924
2924
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Question # 30
The sum of even coefficient in the binomial expansion is
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2
n+1
2
n
2
n-1
2n
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Question # 31
If n is not natural number, then the expansion (1 + x)
n
is valid for
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Question # 32
Digit in the unit place of the number 183! + 3
183
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7
6
3
0
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Question # 33
If the sum of co-efficient in the expansion of (a+b)
n
is 4096, then the greatest co-efficient in the expansion is
Choose an answer
1594
792
924
2924
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Question # 34
There is no integer n for which 3n is
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Even
Prime
Odd
Real
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Question # 35
There are two middle terms in the expansion of (a+x)n if n is
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Even +ve integer
+ve integer
Odd +ve integer
All
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Question # 36
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Question # 37
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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