#### 11th Standard Maths Binomial Theorem, Sequences and Series English Medium Free Online Test One Mark Questions with Answer Key 2020 - 2021

11th Standard

Reg.No. :
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Maths

Time : 00:10:00 Hrs
Total Marks : 10

10 x 1 = 10
1. The HM of two positive numbers whose AM and GM are 16,8 respectively is

(a)

10

(b)

6

(c)

5

(d)

4

2. The sum up to n terms of the series $\sqrt { 2 } +\sqrt { 8 } +\sqrt { 18 } +\sqrt { 32 } +$.....is

(a)

$\frac { n(n+1) }{ 2 }$

(b)

2n(n+1)

(c)

$\frac { n(n+1) }{ \sqrt { 2 } }$

(d)

1

3. The sum of an infinite GP is 18. If the first term is 6, the common ratio is

(a)

$\frac { 1 }{ 3 }$

(b)

$\frac { 2 }{ 3 }$

(c)

$\frac { 1 }{ 6 }$

(d)

$\frac { 3 }{ 4 }$

4. The value of $\frac { 1 }{ 2! } +\frac { 1 }{ 4! } +\frac { 1 }{ 6! } +....is$

(a)

$\frac { { e }^{ 2 }+1 }{ 2e }$

(b)

$\frac { { (e+1) }^{ 2 } }{ 2e }$

(c)

$\frac { { (e-1) }^{ 2 } }{ 2e }$

(d)

$\frac { { e }^{ 2 }+1 }{ 2e }$

5. The first and last term of an A.P.are 1 and 11.If the sum of its terms is 36, then the number of terms will be

(a)

5

(b)

6

(c)

7

(d)

8

6. If in an infinite G. P., first term is equal to 10 times the sum of all successive terms, then its common ratio is

(a)

$\frac { 1 }{ 10 }$

(b)

$\frac { 1 }{ 11 }$

(c)

$\frac { 1 }{ 9 }$

(d)

$\frac { 1 }{ 20 }$

7. The value of ${ 9 }^{ \frac { 1 }{ 3 } }$ ,${ 9 }^{ \frac { 1 }{ 9 } }$${ 9 }^{ \frac { 1 }{ 27 } }$ ,$\infty$is

(a)

1

(b)

3

(c)

9

(d)

none of these

8. The series 1+4x+8x2+$\frac { 32 }{ 3 } { x }^{ 3 }+.....+\infty \quad is$

(a)

ex

(b)

e4x

(c)

e2x

(d)

e8x

9. The value of 2 + 4 + 6 + + 2n is

(a)

$\frac { n\left( n-1 \right) }{ 2 }$

(b)

$\frac { n\left( n+1 \right) }{ 2 }$

(c)

$\frac { 2n\left( 2n+1 \right) }{ 2 }$

(d)

n(n + 1)

10. The sum of the series C02- C12 + C22 .....+ (- 1)nC2n where n is an even integer is

(a)

2nCn

(b)

(-1)n2nCn

(c)

(-1)n2nCn-1

(d)

(-1)n/2nCn/2