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Maths M.C.Q (1 Marks)

Maths (Standard) - 2024 (30-3-1) Set-1 · CBSE STD 10 (CBSE - English Medium). 18 questions.

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M.C.Q (1 Marks)

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18 questions · timed · auto-graded

MCQ 11 Mark
In the given figure, O is the centre of the circle. MN is the chord and the tangent ML at point M makes an angle of $70^{\circ}$ with MN . The measure of $\angle MON$ is :
Image
  • A
    $120^{\circ}$
  • ✓
    $140^{\circ}$
  • C
    $70^{\circ}$
  • D
    $90^{\circ}$
Answer
Correct option: B.
$140^{\circ}$
b
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MCQ 21 Mark
Perimeter of a sector of a circle whose central angle is $90^{\circ}$ and radius 7 cm is :
  • A
    35 cm
  • B
    11 cm
  • C
    22 cm
  • ✓
    25 cm
Answer
Correct option: D.
25 cm
d
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MCQ 31 Mark
The mean of five observations is 15 . If the mean of first three observations is 14 and that of the last three observations is 17 , then the third observation is
  • A
    20
  • B
    19
  • ✓
    18
  • D
    17
Answer
Correct option: C.
18
c
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MCQ 41 Mark
If a digit is chosen at random from the digits $1,2,3,4,5,6,7,8,9$; then the probability that this digit is an odd prime number is :
  • ✓
    $\frac{1}{3}$
  • B
    $\frac{2}{3}$
  • C
    $\frac{4}{9}$
  • D
    $\frac{5}{9}$
Answer
Correct option: A.
$\frac{1}{3}$
a
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MCQ 51 Mark
A pair of irrational numbers whose product is a rational number is :
  • A
    $(\sqrt{16}, \sqrt{4})$
  • B
    $(\sqrt{5}, \sqrt{2})$
  • ✓
    $(\sqrt{3}, \sqrt{27})$
  • D
    $(\sqrt{36}, \sqrt{2})$
Answer
Correct option: C.
$(\sqrt{3}, \sqrt{27})$
c
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MCQ 61 Mark
Given $\operatorname{HCF}(2520,6600)=40, \operatorname{LCM}(2520,6600)=252 \times k$, then the value of $k$ is :
  • ✓
    1650
  • B
    1600
  • C
    165
  • D
    1625
Answer
Correct option: A.
1650
a
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MCQ 71 Mark
In $\triangle ABC , DE \| BC$ (as shown in the figure). If $AD =2 cm, BD =3 cm$, $BC =7.5 cm$, then the length of DE (in cm ) is :
Image
  • A
    2.5
  • ✓
    3
  • C
    5
  • D
    6
Answer
Correct option: B.
3
b
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MCQ 81 Mark
If the diagonals of a quadrilateral divide each other proportionally, then it is a:
  • A
    parallelogram
  • B
    rectangle
  • C
    square
  • ✓
    trapezium
Answer
Correct option: D.
trapezium
d
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MCQ 91 Mark
In the given figure, if PT is a tangent to a circle with centre O and $\angle TPO =35^{\circ}$, then the measure of $\angle x$ is :
Image
  • A
    $110^{\circ}$
  • B
    $115^{\circ}$
  • C
    $120^{\circ}$
  • ✓
    $125^{\circ}$
Answer
Correct option: D.
$125^{\circ}$
d
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MCQ 101 Mark
Maximum number of common tangents that can be drawn to two circles intersecting at two distinct points is :
  • A
    4
  • B
    3
  • ✓
    2
  • D
    1
Answer
Correct option: C.
2
c
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MCQ 111 Mark
If $\cos \theta=\frac{\sqrt{3}}{2}$ and $\sin \phi=\frac{1}{2}$, then $\tan (\theta+\phi)$ is :
  • ✓
    $\sqrt{3}$
  • B
    $\frac{1}{\sqrt{3}}$
  • C
    1
  • D
    not defined
Answer
Correct option: A.
$\sqrt{3}$
a
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MCQ 121 Mark
From a point on the ground, which is 30 m away from the foot of a vertical tower, the angle of elevation of the top of the tower is found to be $60^{\circ}$. The height (in metres) of the tower is :
  • A
    $10 \sqrt{3}$
  • ✓
    $30 \sqrt{3}$
  • C
    60
  • D
    30
Answer
Correct option: B.
$30 \sqrt{3}$
b
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MCQ 131 Mark
The zeroes of the quadratic polynomial $2 x^2-3 x-9$ are :
  • ✓
    $3, \frac{-3}{2}$
  • B
    $-3, \frac{-3}{2}$
  • C
    $-3, \frac{3}{2}$
  • D
    $3, \frac{3}{2}$
Answer
Correct option: A.
$3, \frac{-3}{2}$
a
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MCQ 141 Mark
If $a =2^2 \times 3^x, b=2^2 \times 3 \times 5, c =2^2 \times 3 \times 7$ and LCM $( a , b , c )=3780$, then $x$ is equal to
  • A
    1
  • B
    2
  • ✓
    3
  • D
    $0$
Answer
Correct option: C.
3
c
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MCQ 151 Mark
The probability of guessing the correct answer to a certain test question is $\frac{x}{6}$. If the probability of not guessing the correct answer to this question is $\frac{2}{3}$, then the value of $x$ is :
  • ✓
    2
  • B
    3
  • C
    4
  • D
    6
Answer
Correct option: A.
2
a
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MCQ 161 Mark
Two dice are thrown together. The probability that they show different numbers is :
  • A
    $1 / 6$
  • ✓
    $5 / 6$
  • C
    $1 / 3$
  • D
    $2 / 3$
Answer
Correct option: B.
$5 / 6$
b
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MCQ 171 Mark
The common difference of the A.P.
$\frac{1}{2 x}, \frac{1-4 x}{2 x}, \frac{1-8 x}{2 x}$ ........is :
  • A
    $-2 x$
  • ✓
    -2
  • C
    2
  • D
    $2 x$
Answer
Correct option: B.
-2
b
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MCQ 181 Mark
The pair of linear equations $x+2 y+5=0$ and $-3 x=6 y-1$ has
  • A
    unique solution
  • B
    exactly two solutions
  • C
    infinitely many solutions
  • ✓
    no solution
Answer
Correct option: D.
no solution
d
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M.C.Q (1 Marks) - Maths STD 10 Questions - Vidyadip