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JEE Questions for Maths Binomial Theorem And Mathematical Lnduction Quiz 6 - MCQExams.com
JEE
Maths
Binomial Theorem And Mathematical Lnduction
Quiz 6
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0%
–2
0%
–1
0%
0
0%
1
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0%
0%
2)
0%
0%
In the expansion of (
x
– y)
10
, (co efficient of
x
7
y
3
) – (co-efficient of
x
3
y
7
) =_____
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10 C7
0%
2. 10 C7
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10 C7 + 10 C1
0%
0
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1
0%
2
0%
3
0%
4
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0%
2
0%
2)
0%
0%
10
If p and Q are coefficients of
x
n
in expansion of (1 +
x
)
2n
and (1 +
x
)
2n-1
then_____
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P = Q
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P = 2Q
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2P = Q
0%
P + Q = 0
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–1
0%
0
0%
1
0%
2
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0%
0%
2)
0%
0%
None of these
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(45, 35)
0%
(35, 20)
0%
(35, 45)
0%
(20, 45)
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5
0%
6
0%
7
0%
8
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0%
5
0%
6
0%
7
0%
8
The co-efficient of middle term in expansion of (2
x
- 3y)
4
is....................
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0%
–96
0%
216
0%
–216
0%
96
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0%
5
0%
–5
0%
4
0%
–4
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0%
2)
0%
0%
If sum of Even terms are denoted by E and sum of odd terms are denoted by O in expansion of (
x
+ a)
n
then O
2
– E
2
=_______
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x2 – a2
0%
(x2 – a2)n
0%
x2n – a2n
0%
None of these
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0%
4n
0%
5n
0%
4–n
0%
5–n
(10.1)
5
=
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0%
105101.501
0%
105101.0501
0%
105101.00501
0%
105101.05001
If a, b ϵ N, a ≠ b then for r ϵ N, a
n
-b
n
is divisible by ________
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a – b
0%
b –a
0%
both (a) and (b)
0%
None of these
(1.1)
10000
______1000
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>
0%
<
0%
=
0%
None of these
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0%
2)
0%
0%
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0%
2)
0%
0%
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0%
10
0%
100
0%
1000
0%
None
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1
0%
2
0%
3
0%
0
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0%
10
0%
11
0%
12
0%
13
Co-efficient of
x
5
in expansion of (1 + 2
x
)
6
(1 -
x
)
7
is
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0%
150
0%
171
0%
192
0%
161
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0%
190
0%
200
0%
210
0%
220
If the ratio of co-efficients of three consecutive terms in expansion of (1 +
x
)
n
is 1 : 7 : 42 then n = ______
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0%
35
0%
45
0%
55
0%
65
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0%
0%
2)
0%
0%
When 5
20
is divided by 48 then remainder is______
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46
0%
47
0%
48
0%
49
The remainder when 2
3n
-7n + 4 is divided by 49 is
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0
0%
1
0%
4
0%
5
The least positive remainder when 17
30
is divided by 5 is
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2
0%
4
0%
3
0%
1
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0%
0
0%
–1
0%
n
0%
1
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0%
512
0%
1024
0%
2048
0%
1023
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0%
2)
0%
0%
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0%
1
0%
–1
0%
2
0%
–2
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0%
0%
2)
0%
0%
Sum of Co-efficient of last 15 terms in expansion of (1 +
x
)
29
is
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0%
215
0%
230
0%
229
0%
228
Remainder when 2
2000
is divided by 17 is...
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0%
1
0%
2
0%
8
0%
12
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0%
0%
2)
0%
0%
The interval in which
x
( > 0 ) must lie so that the greatest term in the expansion of (1 +
x
)
2n
has the greatest coefficient is
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0%
0%
2)
0%
0%
None of these
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0%
0%
2)
0%
0%
Let
x
> –1 then statement (1+
x
)
n
> 1+n
x
is true for
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0%
∀ n ϵ N
0%
∀ n > 1
0%
∀ n > 1 and x ≠ 0
0%
∀ n ϵ R
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3
0%
6
0%
2
0%
12
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0%
2)
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0%
Co-efficient of
x
4
in expansion of (1 +
x
+
x
2
+
x
3
)
11
is _______
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0%
330
0%
990
0%
1040
0%
900
The sum of coefficient of middle terms in expansion of (1 +
x
)
2n-1
is_______
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0%
0%
2)
0%
0%
Remainder when 8
2n
- 62
2n+1
is divided by 9 is ________
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0%
0
0%
2
0%
7
0%
8
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0%
22
0%
12
0%
11
0%
7
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0%
2)
0%
0%
It A and B are coefficients of
x
r
and
x
n-r
respectively in expansion of (1 +
x
)
n
then =_____
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0%
A + B = n
0%
A = B
0%
A + B = 2n
0%
A - B = 2n
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