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MATHS M.C.Q (1 Marks)

PART - 2 CH - 8 Sequences and Series · Rajasthan Board (RBSE) STD 11 Science (Rajasthan - English Medium). 14 questions.

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M.C.Q (1 Marks)

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14 questions · auto-graded multiple-choice test.

MCQ 11 Mark
If $G _1$ and $G _2$ are two geometric means between $a$ and $b$, then $G _1 G _2$ is equal to :
  • A
    $\sqrt{a b}$
  • ✓
    $a b$
  • C
    $(a b)^2$
  • D
    $(a b)^3$
Answer
Correct option: B.
$a b$
B
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MCQ 21 Mark
For what value of $n$, the geometric mean of $a$ and $b$ is given by $\frac{a^{n+1}+b^{n+1}}{\left(a^n+b^n\right)}$ ?
  • A
    1
  • B
    2
  • C
    0
  • ✓
    $-\frac{1}{2}$
Answer
Correct option: D.
$-\frac{1}{2}$
D
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MCQ 31 Mark
If third term of geometric progression is 2 then, product of first five terms is :
  • A
    4
  • B
    16
  • ✓
    32
  • D
    64
Answer
Correct option: C.
32
C
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MCQ 41 Mark
The number of terms in progression $96,48,24,12$, ............, $\frac{3}{16}$ is :
  • A
    8
  • ✓
    10
  • C
    12
  • D
    15
Answer
Correct option: B.
10
B
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MCQ 51 Mark
The common ratio of geometric progression $\sqrt{3}, \frac{1}{\sqrt{3}}, \frac{1}{3 \sqrt{3}}, \ldots \ldots$ is :
  • ✓
    $\frac{1}{3}$
  • B
    $\frac{1}{\sqrt{3}}$
  • C
    $\sqrt{3}$
  • D
    3
Answer
Correct option: A.
$\frac{1}{3}$
A
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MCQ 61 Mark
In a geometric progression consisting of positive terms, each term equal the sum of next two terms. Then the common ratio of this progression is equal to :
  • A
    $\left(\frac{1-\sqrt{5}}{2}\right)$
  • B
    $\frac{\sqrt{5}}{2}$
  • C
    $\left(\frac{\sqrt{5}-1}{2}\right)$
  • ✓
    $\sqrt{5}$
Answer
Correct option: D.
$\sqrt{5}$
D
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MCQ 71 Mark
The formula to find the sum of $n$ terms of geometric progression is :
  • A
    $S _n=a\left[\frac{r-1}{r^n-1}\right], r \neq 1$
  • ✓
    $S _n=a\left[\frac{r^n-1}{r-1}\right], r \neq 1$
  • C
    $S _n=\frac{a}{r^n-1}, r \neq 1$
  • D
    None of the above
Answer
Correct option: B.
$S _n=a\left[\frac{r^n-1}{r-1}\right], r \neq 1$
B
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MCQ 81 Mark
If $p$ and $q$ are positive real numbers such that $p^2+$ $q^2=1$, then the maximum value of $(p+q)$ is :
  • A
    2
  • B
    $\frac{1}{2}$
  • C
    $\frac{1}{\sqrt{2}}$
  • ✓
    $\sqrt{2}$
Answer
Correct option: D.
$\sqrt{2}$
D
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MCQ 91 Mark
The arithmetic mean of two numbers is 6.5 and their geometric mean is 6 . What will be the value of the two numbers?
  • A
    3,12
  • B
    7, 6
  • C
    3, 18
  • ✓
    4,9
Answer
Correct option: D.
4,9
D
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MCQ 121 Mark
The first two terms of a geometric progression add upto 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is :
  • ✓
    -12
  • B
    12
  • C
    4
  • D
    -4
Answer
Correct option: A.
-12
A
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MCQ 131 Mark
The arithmetic mean and geometric mean of two numbers be 15 and 9 respectively, then these two numbers are :
  • ✓
    3,27
  • B
    12,18
  • C
    3,12
  • D
    10,20
Answer
Correct option: A.
3,27
A
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MCQ 141 Mark
If the sum of three terms of GP. is 19 and product is 216 , then the common ratio of the series is:
  • A
    $-\frac{3}{2}$
  • ✓
    $\frac{3}{2}$
  • C
    2
  • D
    3
Answer
Correct option: B.
$\frac{3}{2}$
B
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