More Classes
5th Class
6th Class
7th Class
8th Class
9th Class
10th Class
11th Class
12th Class
NAT I
NAT II
CSS
IQ
General Knowledge
MDCAT
ECAT
GAT General
GAT Subject
Other Links
Go to Home
Online Tests
ECAT Pre General Science Mathematics Chapter 10 Mathematical Induction Online Test MCQs With Answers
Question # 1
Choose an answer
10
C
6
10
C
5
10
C
4
None
Previous
Skip
Next
Question # 2
The coefficient of x
10
in the expansion (x
3
+3/x
2
)
10
is
Choose an answer
1700
17023
17027
17010
Previous
Skip
Next
Question # 3
The positive integer just greater than (1+0.0001)
10000
is
Choose an answer
4
5
2
3
Previous
Skip
Next
Question # 4
There is no integer n for which 3
n
is
Choose an answer
Odd
even
Natural
Prime
Previous
Skip
Next
Question # 5
Choose an answer
n
C
r
n+1
C
r+1
n
C
r+1
None
Previous
Skip
Next
Question # 6
(x
3
-1/2x)
6
is
Choose an answer
15/16 x
2
2/13 x
2
17/7 x
2
16/15 x
2
Previous
Skip
Next
Question # 7
The coefficient of xn in the expansion of (1-2x)-1 is
Choose an answer
(-1)n2n
2n
(-1)(n+1)xr
(n+1)2n
Previous
Skip
Next
Question # 8
The greatest term in the expansion of (3+2x)
9
, when x=1 is
Choose an answer
4th
4th and 5th
5th
6th
Previous
Skip
Next
Question # 9
The sum of co-efficient in (1+x-3x
2
)
4163
is
Choose an answer
0
1
-1
None
Previous
Skip
Next
Question # 10
If n is add the expansion (a + x)
n
has middle terms
Choose an answer
2
3
4
5
Previous
Skip
Next
Question # 11
Choose an answer
405 / 256
504 / 259
450 / 263
None
Previous
Skip
Next
Question # 12
Digit in the unit place of the number 183! + 3
183
Choose an answer
7
6
3
0
Previous
Skip
Next
Question # 13
(51)
4
is equal to
Choose an answer
7065201
8065201
6765201
6565201
Previous
Skip
Next
Question # 14
The term independent of x is the expansion (x
3
+1/x)
12
Choose an answer
295
495
395
722
Previous
Skip
Next
Question # 15
If n is any positive integer ,t hen 2+4+6+......+2 n=
Choose an answer
2
n
-1
2
n
+1
n
2
+1
n(n+1)
Previous
Skip
Next
Question # 16
If the 4th term in the expansion of (px + x
-1
)
m
is 2.5 for all x
∈ R, then
Choose an answer
Previous
Skip
Next
Question # 17
If n∈Z+ then(a+x)n is a/an
Choose an answer
Finite series
Convergent series
Infinite series
Divergent series
Previous
Skip
Next
Question # 18
The seventh term of (x3+1/x)8is
Choose an answer
71
-22
27
28
Previous
Skip
Next
Question # 19
When we expand (a + 2b)
5
then
Choose an answer
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
Previous
Skip
Next
Question # 20
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
Choose an answer
Real numbers n
Integers n
Positive integers n
None of these
Previous
Skip
Next
Question # 21
If (1+x)
n
=C
0
+ C
1
x +C
2
x
2
+ ......+C
n
x
1
then C
0
C
2
+ C
1
C
3
+ C
2
C
4
+ .....+C
n-2
C
n
=
Choose an answer
Previous
Skip
Next
Question # 22
The first three terms in the expansion of (1 - x)
-3
are
Choose an answer
1 + 3x + 6x
2
1 - 3x + 6x
2
-3 - 3x - 6x
2
1 - 3x - 6x
2
Previous
Skip
Next
Question # 23
The middle term of [1/x-x]
10
is
Choose an answer
-152
-252
371
-421
Previous
Skip
Next
Question # 24
n(n-1)(2n-1), for all natural numbers n, is divisible by
Choose an answer
12
6
2
18
Previous
Skip
Next
Question # 25
(0.90)
1/2
is equal to
Choose an answer
0.99
0.90
0.80
0.88
Previous
Skip
Next
Question # 26
The first three terms in the expansion of (1 + x)
-1
are
Choose an answer
1 + x + x
2
1 - x - x
2
-1 -x + x
2
1 - x + x
2
Previous
Skip
Next
Question # 27
The expansion of (1 + 2x)
-2
is valed if
Choose an answer
| x | < 1/2
| x | < 1
| x | < 2
| x | < 3
Previous
Skip
Next
Question # 28
The fifth term of (a+2x3)17 is
Choose an answer
4013 x3a13
2208a13 x12
223x7a18
38080a13 x12
Previous
Skip
Next
Question # 29
a + x is ______
Choose an answer
A trinomial
A binomial
A monomial
None of these
Previous
Skip
Next
Question # 30
If in the expansion of (1+x)
n
, co-efficients of 2nd, 3rd and 4th terms are in A.P., then x=
Choose an answer
4
5
6
7
Previous
Skip
Next
Question # 31
The sum of the even coefficients in the expansion (1 + x)
n
is
Choose an answer
n
2
2
n-2
2
n-1
2
n
Previous
Skip
Next
Back