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

11th Standard

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Maths

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

    Answer all the questions

    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

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TN 11th Standard Maths free Online practice tests

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