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M.C.Q (1 Marks)

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18 questions · timed · auto-graded

MCQ 11 Mark
After an examination, a teacher wants to know the marks obtained by maximum number of the students in her class. She requires to calculate _____ of marks.
  • A
    median
  • B
    mode
  • C
    mean
  • D
    range
Answer
B  mode
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MCQ 21 Mark
In the given figure, AT is tangent to a circle centred at O . If $\angle CAT =40^{\circ}$, then $\angle CBA$ is equal to
Image
  • A
    $70^{\circ}$
  • B
    $50^{\circ}$
  • C
    $65^{\circ}$
  • D
    $40^{\circ}$
Answer
D  $40^{\circ}$
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MCQ 31 Mark
Which term of the A.P. $-29,-26,-23$, ...., 61 is 16 ?
  • A
    $11^{\text {th }}$
  • B
    $16^{ th }$
  • C
    $10^{\text {th }}$
  • D
    $31^{\text {st }}$
Answer
B  $16^{\text {th }}$
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MCQ 41 Mark
XOYZ is a rectangle with vertices $X (-3,0), O (0,0), Y (0,4)$ and $Z (x, y)$. The length of its each diagonal is
  • A
    5 units
  • B
    $\sqrt{5}$ units
  • C
    $x^2+y^2$ units
  • D
    4 units
Answer
A  5 units
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MCQ 51 Mark
In the given figure, tangents PA and PB to the circle centred at O , from point $P$ are perpendicular to each other. If $P A=5 cm$, then length of $A B$ is equal to
Image
  • A
    5 cm
  • B
    $5 \sqrt{2} cm$
  • C
    $2 \sqrt{5} cm$
  • D
    10 cm
Answer
B  $5 \sqrt{2} cm$
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MCQ 61 Mark
A box contains cards numbered 6 to 55 . A card is drawn at random from the box. The probability that the drawn card has a number which is a perfect square, is
  • A
    $\frac{7}{50}$
  • B
    $\frac{7}{55}$
  • C
    $\frac{1}{10}$
  • D
    $\frac{5}{49}$
Answer
C  $\frac{1}{10}$
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MCQ 71 Mark
If value of each observation in a data is increased by 2 , then median of the new data
  • A
    increases by 2
  • B
    increases by 2 n
  • C
    remains same
  • D
    decreases by 2
Answer
A  increases by 2
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MCQ 81 Mark
AB and CD are two chords of a circle intersecting at P . Choose the correct statement from the following :
Image
  • A
    $\triangle ADP \sim \triangle CBA$
  • B
    $\triangle ADP \sim \triangle BPC$
  • C
    $\triangle ADP \sim \triangle BCP$
  • D
    $\triangle ADP \sim \triangle CBP$
Answer
D  $\triangle ADP \sim \triangle CBP$
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MCQ 91 Mark
The perimeters of two similar triangles $A B C$ and $P Q R$ are 56 cm and 48 cm respectively. $PQ / AB$ is equal to
  • A
    $\frac{7}{8}$
  • B
    $\frac{6}{7}$
  • C
    $\frac{7}{6}$
  • D
    $\frac{8}{7}$
Answer
B  $\frac{6}{7}$
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MCQ 101 Mark
If $\alpha$ and $\beta$ are zeroes of the polynomial $5 x^2+3 x-7$, the value of $\frac{1}{\alpha}+\frac{1}{\beta}$ is
  • A
    $-\frac{3}{7}$
  • B
    $\frac{3}{5}$
  • C
    $\frac{3}{7}$
  • D
    $-\frac{5}{7}$
Answer
C  $\frac{3}{7}$
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MCQ 111 Mark
Two dice are rolled together. The probability of getting the sum of the two numbers to be more than 10 , is
  • A
    $\frac{1}{9}$
  • B
    $\frac{1}{6}$
  • C
    $\frac{7}{12}$
  • D
    $\frac{1}{12}$
Answer
D  $\frac{1}{12}$
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MCQ 121 Mark
If $\sin \theta=\cos \theta,\left(0^{\circ}<\theta<90^{\circ}\right)$, then value of $(\sec \theta \cdot \sin \theta)$ is :
  • A
    $\frac{1}{\sqrt{2}}$
  • B
    $\sqrt{2}$
  • C
    1
  • D
    $0$
Answer
C  1
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MCQ 131 Mark
In the given figure $\triangle A B C$ is shown. $D E$ is parallel to $B C$. If $A D=5 cm$, $DB =2.5 cm$ and $BC =12 cm$, then DE is equal to
Image
  • A
    10 cm
  • B
    6 cm
  • C
    8 cm
  • D
    7.5 cm
Answer
C  8 cm
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MCQ 141 Mark
If the $\operatorname{HCF}(2520,6600)=40$ and $\operatorname{LCM}(2520,6600)=252 \times k$, then the value of $k$ is
  • A
    1650
  • B
    1600
  • C
    165
  • D
    1625
Answer
A  1650
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MCQ 151 Mark
The quadratic equation $x^2+x+1=0$ has ____________ roots.
  • A
    real and equal
  • B
    irrational
  • C
    real and distinct
  • D
    not-real
Answer
D  not-real
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MCQ 171 Mark
Point P divides the line segment joining the points $A (4,-5)$ and $B (1,2)$ in the ratio 5:2. Co-ordinates of point P are
  • A
    $\left(\frac{5}{2}, \frac{-3}{2}\right)$
  • B
    $\left(\frac{11}{7}, 0\right)$
  • C
    $\left(\frac{13}{7}, 0\right)$
  • D
    $\left(0, \frac{13}{7}\right)$
Answer
C  $\left(\frac{13}{7}, 0\right)$
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MCQ 181 Mark
The value of k for which the system of equations $3 x-y+8=0$ and $6 x- ky +16=0$ has infinitely many solutions, is
  • A
    -2
  • B
    2
  • C
    $\frac{1}{2}$
  • D
    $-\frac{1}{2}$
Answer
B 2
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M.C.Q (1 Marks) - Maths STD 10 Questions - Vidyadip