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Maths MCQ

Sequences and Series · Maharashtra Board STD 11 (MSBSHSE - Semi English Medium). 10 questions.

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10 questions · auto-graded multiple-choice test.

MCQ 11 Mark
The G.M. of two numbers exceeds their H.M. by $\frac{6}{5}$, the A.M. exceeds G.M. by $\frac{3}{2}$ the two numbers are
  • A
    $6, \frac{15}{2}$
  • B
    15, 25
  • ✓
    3, 12
  • D
    $\frac{6}{5}, \frac{3}{2}$
Answer
Correct option: C.
3, 12
3, 12
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MCQ 21 Mark
Which of the following is not true, where A, G, H are the AM, GM, HM of a and b respectively, (a, b > 0)
  • A
    $A =\frac{a+b}{2}$
  • B
    $G=\sqrt{a b}$
  • C
    $H =\frac{2 a b}{a+b}$
  • ✓
    A = GH
Answer
Correct option: D.
A = GH
A = GH
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MCQ 31 Mark
The tenth term of H.P. $\frac{2}{9}, \frac{1}{7}, \frac{2}{19}, \frac{1}{12}, \ldots$ is
  • ✓
    $\frac{1}{27}$
  • B
    $\frac{9}{2}$
  • C
    $\frac{5}{2}$
  • D
    27
Answer
Correct option: A.
$\frac{1}{27}$
$\frac{1}{27}$
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MCQ 41 Mark
Sum to infinity of a G.P. $5,-\frac{5}{2}, \frac{5}{4},-\frac{5}{8}, \frac{5}{16}, \ldots$ is
  • A
    5
  • B
    $-\frac{1}{2}$
  • ✓
    $\frac{10}{3}$
  • D
    $\frac{3}{10}$
Answer
Correct option: C.
$\frac{10}{3}$
$\frac{10}{3}$
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MCQ 51 Mark
The sum of 3 terms of a G.P. is $\frac{21}{4}$ and their product is 1 , then the common ratio is
  • A
    1
  • B
    2
  • ✓
    4
  • D
    8
Answer
Correct option: C.
4
4
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MCQ 61 Mark
If the common ratio of the G.P. is 5, the 5th term is 1875, the first term is
  • ✓
    3
  • B
    5
  • C
    15
  • D
    -5
Answer
Correct option: A.
3
3
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MCQ 71 Mark
Which term of the geometric progression 1, 2, 4, 8, ….. is 2048.
  • A
    10th
  • B
    11th
  • ✓
    12th
  • D
    13th
Answer
Correct option: C.
12th
12th
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MCQ 91 Mark
The tenth term of the geometric sequence is $\frac{1}{4}, \frac{-1}{2}, 1,-2, \ldots$ is
  • A
    1024
  • B
    $\frac{1}{1024}$
  • ✓
    -128
  • D
    $\frac{-1}{128}$
Answer
Correct option: C.
-128
-128
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