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Maths M.C.Q (1 Marks)

Maths (Standard) - 2024 (30-4-1) 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, QR is a common tangent to the two given circles touching externally at A . The tangent at A meets QR at P . If $AP =4.2 cm$, then the length of QR is :
Image
  • A
    4.2 cm
  • B
    2.1 cm
  • ✓
    8.4 cm
  • D
    6.3 cm
Answer
Correct option: C.
8.4 cm
(C) 8.4 cm
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MCQ 21 Mark
For an event $E$, if $P(E)+P(\bar{E})=q$, then the value of $q^2-4$ is :
  • ✓
    -3
  • B
    3
  • C
    5
  • D
    -5
Answer
Correct option: A.
-3
(A) $- 3$
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MCQ 31 Mark
The fourth vertex $D$ of a parallelogram $A B C D$ whose three vertices are $A (-2,3), B (6,7)$ and $C (8,3)$ is :
  • A
    $(0,1)$
  • ✓
    $(0,-1)$
  • C
    $(-1,0)$
  • D
    $(1,0)$
Answer
Correct option: B.
$(0,-1)$
(B) $(0,-1)$
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MCQ 41 Mark
In the given figure, AB and AC are tangents to the circle. If $\angle ABC =42^{\circ}$, then the measure of $\angle BAC$ is :
Image
  • ✓
    $96^{\circ}$
  • B
    $42^{\circ}$
  • C
    $106^{\circ}$
  • D
    $86^{\circ}$
Answer
Correct option: A.
$96^{\circ}$
(A) $96^{\circ}$
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MCQ 51 Mark
At some time of the day, the length of the shadow of a tower is equal to its height. Then, the Sun's altitude at that time is :
  • A
    $30^{\circ}$
  • ✓
    $45^{\circ}$
  • C
    $60^{\circ}$
  • D
    $90^{\circ}$
Answer
Correct option: B.
$45^{\circ}$
(B) $45^{\circ}$
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MCQ 61 Mark
In $\triangle ABC , DE \| BC$ (as shown in the figure). If $AD =4 cm, AB =9 cm$ and $AC =13.5 cm$, then the length of EC is :
Image
  • A
    6 cm
  • ✓
    7.5 cm
  • C
    9 cm
  • D
    5.7 cm
Answer
Correct option: B.
7.5 cm
(B) 7.5 cm
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MCQ 71 Mark
Three numbers in A.P. have the sum 30 . What is its middle term?
  • A
    4
  • ✓
    10
  • C
    16
  • D
    8
Answer
Correct option: B.
10
(B) 10
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MCQ 81 Mark
Two lines are given to be parallel. The equation of one of these lines is $5 x-3 y=2$. The equation of the second line can be:
  • A
    $-15 x-9 y=5$
  • B
    $15 x+9 y=5$
  • C
    $9 x -15 y =6$
  • ✓
    $-15 x+9 y=5$
Answer
Correct option: D.
$-15 x+9 y=5$
(D)  $-15 x+9 y=5$
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MCQ 91 Mark
If $\sin \theta=1$, then the value of $\frac{1}{2} \sin \left(\frac{\theta}{2}\right)$ is :
  • ✓
    $\frac{1}{2 \sqrt{2}}$
  • B
    $\frac{1}{\sqrt{2}}$
  • C
    $\frac{1}{2}$
  • D
    $0$
Answer
Correct option: A.
$\frac{1}{2 \sqrt{2}}$
(A) $\frac{1}{2 \sqrt{2}}$
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MCQ 101 Mark
The ratio of total surface area of a solid hemisphere to the square of its radius is :
  • A
    $2 \pi: 1$
  • B
    $4 \pi: 1$
  • ✓
    $3 \pi: 1$
  • D
    $1: 4 \pi$
Answer
Correct option: C.
$3 \pi: 1$
(C) $3 \pi: 1$
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MCQ 111 Mark
Two dice are tossed simultaneously. The probability of getting odd numbers on both the dice is :
  • A
    $\frac{6}{36}$
  • B
    $\frac{3}{36}$
  • C
    $\frac{12}{36}$
  • ✓
    $\frac{9}{36}$
Answer
Correct option: D.
$\frac{9}{36}$
(D) $\frac{9}{36}$
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MCQ 121 Mark
If the difference of mode and median of a data is 24 , then the difference of its median and mean is :
  • ✓
    12
  • B
    24
  • C
    8
  • D
    36
Answer
Correct option: A.
12
(A) 12
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MCQ 131 Mark
The area of the sector of a circle of radius 12 cm is $60 \pi cm^2$. The central angle of this sector 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 141 Mark
If an arc subtends an angle of $90^{\circ}$ at the centre of a circle, then the ratio of its length to the circumference of the circle is:
  • A
    $2: 3$
  • ✓
    $1: 4$
  • C
    $4: 1$
  • D
    $1: 3$
Answer
Correct option: B.
$1: 4$
(B) $1: 4$
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MCQ 151 Mark
If the discriminant of the quadratic equation $3 x^2-2 x+c=0$ is 16 , then the value of $c$ is :
  • A
    1
  • B
    $0$
  • ✓
    -1
  • D
    $\sqrt{2}$
Answer
Correct option: C.
-1
(C) $-1$
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MCQ 161 Mark
The HCF of two numbers 65 and 104 is 13 . If LCM of 65 and 104 is 40 x , then the value of $x$ is :
  • A
    5
  • ✓
    13
  • C
    40
  • D
    8
Answer
Correct option: B.
13
(B) 13
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MCQ 171 Mark
If a polynomial $p(x)$ is given by $p(x)=x^2-5 x+6$, then the value of $p (1)+ p (4)$ is :
  • A
    0
  • ✓
    4
  • C
    2
  • D
    -4
Answer
Correct option: B.
4
(B) 4
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MCQ 181 Mark
If $a x+b y=a^2-b^2$ and $b x+a y=0$, then the value of $x+y$ is :
  • A
    $a^2-b^2$
  • B
    $a + b$
  • ✓
    $a - b$
  • D
    $a^2+b^2$
Answer
Correct option: C.
$a - b$
(C) $a-b$
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M.C.Q (1 Marks) - Maths STD 10 Questions - Vidyadip