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Maths M.C.Q (1 Marks)

Maths (Standard) - 2024 (30-5-1) 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
If a vertical pole of length 7.5 m casts a shadow 5 m long on the ground and at the same time, a tower casts a shadow 24 m long, then the height of the tower is:
  • A
    20 m
  • B
    40 m
  • C
    60 m
  • ✓
    36 m
Answer
Correct option: D.
36 m
(D) 36 m
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MCQ 21 Mark
In the given figure, in $\triangle ABC , DE \| BC$. If $AD =2-4 cm, DB =4 cm$ and $AE =2 cm$, then the length of AC is :
Image
  • A
    $\frac{10}{3} cm$
  • B
    $\frac{3}{10} cm$
  • ✓
    $\frac{16}{3} cm$
  • D
    1.2 cm
Answer
Correct option: C.
$\frac{16}{3} cm$
(C) $\frac{16}{3} cm$
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MCQ 31 Mark
In the given figure, RJ and RL are two tangents to the circle. If $\angle RJL =42^{\circ}$, then the measure of $\angle JOL$ is :
Image
  • A
    $42^{\circ}$
  • ✓
    $84^{\circ}$
  • C
    $96^{\circ}$
  • D
    $138^{\circ}$
Answer
Correct option: B.
$84^{\circ}$
(B) $84^{\circ}$
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MCQ 41 Mark
If $\alpha$ and $\beta$ are the zeroes of the polynomial $p(x)= kx ^2-30 x +45 k$ and $\alpha+\beta=\alpha \beta$, then the value of k is :
  • A
    $-\frac{2}{3}$
  • B
    $-\frac{3}{2}$
  • C
    $\frac{3}{2}$
  • ✓
    $\frac{2}{3}$
Answer
Correct option: D.
$\frac{2}{3}$
(D) $\frac{2}{3}$
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MCQ 51 Mark
If the product of two co-prime numbers is 553 , then their HCF is :
  • ✓
    1
  • B
    553
  • C
    7
  • D
    79
Answer
Correct option: A.
1
(A) 1
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MCQ 71 Mark
A chord of a circle of radius 10 cm subtends a right angle at its centre. The length of the chord (in cm) is:
Image
  • A
    $5 \sqrt{2}$
  • ✓
    $10 \sqrt{2}$
  • C
    $\frac{5}{\sqrt{2}}$
  • D
    5
Answer
Correct option: B.
$10 \sqrt{2}$
(B) $10 \sqrt{2}$
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MCQ 91 Mark
The greatest number which divides 281 and 1249 , leaving remainder 5 and 7 respectively, is :
  • A
    23
  • B
    276
  • ✓
    138
  • D
    69
Answer
Correct option: C.
138
(C) 138
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MCQ 101 Mark
The length of an arc of a circle with radius 12 cm is $10 \pi cm$. The angle subtended by the arc at the centre of the circle, is :
  • A
    $120^{\circ}$
  • B
    $6^{\circ}$
  • C
    $75^{\circ}$
  • ✓
    $150^{\circ}$
Answer
Correct option: D.
$150^{\circ}$
(D) $150^{\circ}$
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MCQ 111 Mark
The perimeter of the sector of a circle of radius 21 cm which subtends an angle of $60^{\circ}$ at the centre of circle, is :
  • A
    22 cm
  • B
    43 cm
  • ✓
    64 cm
  • D
    462 cm
Answer
Correct option: C.
64 cm
(C) 64 cm
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MCQ 121 Mark
One ticket is drawn at random from a bag containing tickets numbered 1 to 40 . The probability that the selected ticket has a number which is a multiple of 7 is :
  • A
    $\frac{1}{7}$
  • ✓
    $\frac{1}{8}$
  • C
    $\frac{1}{5}$
  • D
    $\frac{7}{40}$
Answer
Correct option: B.
$\frac{1}{8}$
(B) $\frac{1}{8}$
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MCQ 131 Mark
For the data $2,9, x+6,2 x+3,5,10,5$; if the mean is 7 , then the value of $x$ is :
  • A
    9
  • B
    6
  • C
    5
  • ✓
    3
Answer
Correct option: D.
3
(D) 3
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MCQ 141 Mark
The ratio of the sum and product of the roots of the quadratic equation $5 x^2-6 x+21=0$ is :
  • A
    $5: 21$
  • ✓
    $2: 7$
  • C
    $21: 5$
  • D
    $7: 2$
Answer
Correct option: B.
$2: 7$
(B) $2: 7$
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MCQ 151 Mark
Which out of the following type of straight lines will be represented by the system of equations $3 x+4 y=5$ and $6 x+8 y=7$ ?
  • ✓
    Parallel
  • B
    Intersecting
  • C
    Coincident
  • D
    Perpendicular to each other
Answer
Correct option: A.
Parallel
(A) Parallel
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MCQ 161 Mark
If $4 \sec \theta-5=0$, then the value of $\cot \theta$ is :
  • A
    $\frac{3}{4}$
  • B
    $\frac{4}{5}$
  • C
    $\frac{5}{3}$
  • ✓
    $\frac{4}{3}$
Answer
Correct option: D.
$\frac{4}{3}$
(D) $\frac{4}{3}$
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MCQ 171 Mark
If $\frac{x}{3}=2 \sin A, \frac{y}{3}=2 \cos A$, then the value of $x^2+y^2$ is:
  • ✓
    36
  • B
    9
  • C
    6
  • D
    18
Answer
Correct option: A.
36
(A) 36
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MCQ 181 Mark
The next $\left(4^{\text {th }}\right)$ term of the A.P. $\sqrt{18}, \sqrt{50}, \sqrt{98}, \ldots$ is :
  • A
    $\sqrt{128}$
  • B
    $\sqrt{140}$
  • ✓
    $\sqrt{162}$
  • D
    $\sqrt{200}$
Answer
Correct option: C.
$\sqrt{162}$
(C) $\sqrt{162}$
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M.C.Q (1 Marks) - Maths STD 10 Questions - Vidyadip