Questions · Page 3 of 3

M.C.Q (1 Marks)

MCQ 1011 Mark
If $\frac{5+9+13+\cdots \text { to } n \text { terms }}{7+9+11+\cdots \text { to }(n+1) \text { terms }}=\frac{17}{16}$, then $n=$
  • A
    8
  • 7
  • C
    10
  • D
    11
Answer
Correct option: B.
7
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MCQ 1021 Mark
If the first term of an A.P. is $a$ and $n^{\text {th }}$ term is $b$, then its common difference is
  • A
    $\frac{b-a}{n+1}$
  • $\frac{b-a}{n-1}$
  • C
    $\frac{b-a}{n}$
  • D
    $\frac{b+a}{n-1}$
Answer
Correct option: B.
$\frac{b-a}{n-1}$
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MCQ 1031 Mark
The 9 th term of an A.P. is 449 and 449 th term is 9 . The term which is equal to zero is
  • A
    $501^{\text {th }}$
  • B
    $502^{\text {th }}$
  • $458^{ th }$
  • D
    none of these
Answer
Correct option: C.
$458^{ th }$
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MCQ 1041 Mark
Sum of $n$ terms of the series $\sqrt{2}+\sqrt{8}+\sqrt{18}+\sqrt{32}+\cdots$ is
  • A
    $\frac{n(n+1)}{2}$
  • B
    $2 n(n+1)$
  • $\frac{n(n+1)}{\sqrt{2}}$
  • D
    1
Answer
Correct option: C.
$\frac{n(n+1)}{\sqrt{2}}$
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MCQ 1051 Mark
The number of terms of the A.P. $3,7,11,15, \ldots$ to be taken so that the sum is 406 is
  • A
    5
  • B
    10
  • C
    12
  • 14
Answer
Correct option: D.
14
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MCQ 1061 Mark
If the first term of an A.P. is 2 and common difference is 4 , then the sum of its 40 terms is
  • 3200
  • B
    1600
  • C
    200
  • D
    2800
Answer
Correct option: A.
3200
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MCQ 1071 Mark
If four numbers in A.P. are such that their sum is 50 and the greatest number is 4 times the least then the numbers are
  • $5,10,15,20$
  • B
    $4,10,16,22$
  • C
    $3,7,11,15$
  • D
    none of these
Answer
Correct option: A.
$5,10,15,20$
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MCQ 1081 Mark
The first and last terms 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
  • 6
  • C
    7
  • D
    8
Answer
Correct option: B.
6
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MCQ 1091 Mark
$\left(3-\frac{1}{n}\right)+\left(3-\frac{2}{n}\right)+\left(3-\frac{3}{n}\right)+\ldots$ upto $n$ terms is
  • A
    $\frac{1}{2}(3 n-1)$
  • B
    $\frac{1}{2}(3 n+1)$
  • $\frac{1}{2}(5 n-1)$
  • D
    $\frac{1}{2}(5 n+1)$
Answer
Correct option: C.
$\frac{1}{2}(5 n-1)$
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MCQ 1101 Mark
If the sum of three consecutive terms of an increasing A.P. is 51 and the product of the first and third of these terms is 273 , then the third term is
  • A
    13
  • B
    9
  • 21
  • D
    17
Answer
Correct option: C.
21
C
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MCQ 1121 Mark
The common difference of an A.P., the sum of whose $n$ terms is $S_n$, is
  • $S_n-2 S_{n-1}+S_{n-2}$
  • B
    $S_n-2 S_{n-1}-S_{n-2}$
  • C
    $S_n-S_{n-2}$
  • D
    $S_n-S_{n-1}$
Answer
Correct option: A.
$S_n-2 S_{n-1}+S_{n-2}$
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MCQ 1131 Mark
The $n^{\text {th }}$ term of an A.P., the sum of whose $n$ terms is $S_n$, is
  • A
    $S_n+S_{n-1}$
  • $S_n-S_{n-1}$
  • C
    $S_n+S_{n+1}$
  • D
    $S_n-S_{n+1}$
Answer
Correct option: B.
$S_n-S_{n-1}$
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MCQ 1141 Mark
If $\frac{1}{x+2}, \frac{1}{x+3}, \frac{1}{x+5}$ are in A.P. Then, $x=$
  • A
    5
  • B
    3
  • 1
  • D
    2
Answer
Correct option: C.
1
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M.C.Q (1 Marks) - Page 3 - MATHS STD 10 Questions - Vidyadip