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MCQ

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50 questions · timed · auto-graded

MCQ 11 Mark
The diagonals of a quadrilateral intersect at right angles and it has exactly one axis of symmetry. The quadrilateral is a:
  • A
    square
  • B
    rhombus
  • kite
  • D
    none of these
Answer
Correct option: C.
kite
C
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MCQ 21 Mark
ABCD is a trapezium and P and Q are the mid-points of the diagonals of AC and BD . Then PQ is equal to:
  • A
    $\frac{1}{2} AB$
  • B
    $\frac{1}{2} CD$
  • $\frac{1}{2}( AB - CD )$
  • D
    $\frac{1}{2}( AB + CD )$
Answer
Correct option: C.
$\frac{1}{2}( AB - CD )$
C
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MCQ 31 Mark
Diagonals of a quadrilateral ABCD bisect each other. If $\angle A =35^{\circ}$, then $\angle B$ is equal to:
  • $145^{\circ}$
  • B
    $135^{\circ}$
  • C
    $155^{\circ}$
  • D
    $35^{\circ}$
Answer
Correct option: A.
$145^{\circ}$
A
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MCQ 41 Mark
If bisectors of $\angle A$ and $\angle B$ of a parallelogram ABCD intersect each other at P , of $\angle B$ and $\angle C$ at Q , of $\angle C$ and $\angle D$ at R and of $\angle D$ and $\angle A$ at S , then PQRS is a:
  • rectangle
  • B
    rhombus
  • C
    parallelogram
  • D
    quadrilateral whose opposite angles are supplementary.
Answer
Correct option: A.
rectangle
A
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MCQ 51 Mark
Assertion (A): Every square is a parallelogram.
Reason (R): In a square as well as in a parallelogram, the diagonals two diagonals are equal in length.
  • A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • D
    Both A and R are false.
Answer
Correct option: A.
A is true, R is false
A
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MCQ 61 Mark
Assertion (A): If diagonals of a quadrilateral are equal, then it must be a rectangle.
Reason (R): The diagonals of a rectangle are equal.
  • A
    A is true, R is false
  • A is false, R is true
  • C
    Both A and R are true
  • D
    Both A and R are false.
Answer
Correct option: B.
A is false, R is true
B
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MCQ 71 Mark
Assertion (A): The two diagonals of a rectangle are equal and bisect each other at right angles.
Reason (R): Every rectangle is a square.
  • A
    A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • Both A and R are false.
Answer
Correct option: D.
Both A and R are false.
D
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MCQ 81 Mark
PQRS is a rhombus in which $PQ =6 cm$ and $\angle PQR =120$. The length of the diagonal QS is :
  • 6 cm
  • B
    7 cm
  • C
    8 cm
  • D
    11 cm
Answer
Correct option: A.
6 cm
A
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MCQ 91 Mark
The diagonals of a quadrilateral are equal and they bisect each other. The quadrilateral is definitely a:
  • rectangle
  • B
    square
  • C
    rhombus
  • D
    parallelogram
Answer
Correct option: A.
rectangle
A
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MCQ 101 Mark
If the opposite angles of a quadrilateral are equal, then it will definitely be a:
  • A
    rectangle
  • B
    square
  • C
    rhombus
  • parallelogram
Answer
Correct option: D.
parallelogram
D
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MCQ 111 Mark
If the lengths of the diagonals of a rhombus are 24 cm and 10 cm, then the length of its each side is:
  • A
    26 cm
  • B
    17 cm
  • C
    15 cm
  • 13 cm
Answer
Correct option: D.
13 cm
D
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MCQ 121 Mark
The bisectors of $\angle A$ and $\angle B$ of the parallelogram ABCD intersect at P on the side CD. If $BC =3 cm$, then $AB =$
  • 4 cm
  • B
    5 cm
  • C
    6 cm
  • D
    8 cm
Answer
Correct option: A.
4 cm
A
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MCQ 131 Mark
The bisectors of $\angle A$ and $\angle B$ of the parallelogram ABCD intersect at $E . \angle AEB =$
  • A
    100
  • 90
  • C
    80
  • D
    60
Answer
Correct option: B.
90
B
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MCQ 141 Mark
In the parallelogram $ABCD , \angle A : \angle B =3: 5 . \angle C =$
  • 67.5
  • B
    112.5
  • C
    45
  • D
    135
Answer
Correct option: A.
67.5
A
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MCQ 161 Mark
The diagonals of the rectangle ABCD intersect at O . If $\angle OBC =64$, then $\angle OAB =$
  • A
    64
  • B
    32
  • 26
  • D
    36
Answer
Correct option: C.
26
C
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MCQ 171 Mark
ABCD is a parallelogram in which $\angle BAD =70$ and $\angle BAC =50$, then $\angle CBD =$
  • A
    45
  • 60
  • C
    70
  • D
    80
Answer
Correct option: B.
60
B
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MCQ 181 Mark
The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is:
  • A
    25 cm
  • 15 cm
  • C
    35 cm
  • D
    45 cm
Answer
Correct option: B.
15 cm
B
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MCQ 191 Mark
In a parallelogram, an angle is $\frac{4}{5}$ th of its adjacent angle, then angles of the parallelogram are :
  • 80, 100, 80, 100
  • B
    70, 110, 70, 110
  • C
    60, 120, 60, 120
  • D
    none of these
Answer
Correct option: A.
80, 100, 80, 100
A
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MCQ 211 Mark
Each side of a rhombus is 10 cm and one of its diagonals is 16 cm, length of other diagonal will be:
  • A
    11 cm
  • 12 cm
  • C
    13 cm
  • D
    15 cm
Answer
Correct option: B.
12 cm
B
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MCQ 221 Mark
ABCD is parallelogram in which AB = 9.5 cm and its perimeter is 30 cm. Length of each side of parallelogram ABCD is:
  • AB =9.5 cm, DC =9.5 cm, BC =5.5 cm, DA =5.5 cm
  • B
    AB =9.5 cm, BC =9.5 cm, DC =5.5 cm, DA =5.5 cm
  • C
    DC =5.5 cm, BC =5.5 cm, AB =9.5 cm, AD =9.5 cm
  • D
    none of these
Answer
Correct option: A.
AB =9.5 cm, DC =9.5 cm, BC =5.5 cm, DA =5.5 cm
A
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MCQ 231 Mark
If one angle of a parallelogram is 30 less than twice the smallest angle, then measure of each angle will be:
  • A
    60, 80, 80, 140
  • 70, 110, 70, 110
  • C
    60, 120, 60, 120
  • D
    75, 105, 75, 105
Answer
Correct option: B.
70, 110, 70, 110
B
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MCQ 241 Mark
In parallelogram ABCD , if $\angle A =2 x+25$ and $\angle B =3 x-5$, then value of $x$ will be :
  • A
    x = 13
  • B
    x = 23
  • C
    x = 33
  • x = 32
Answer
Correct option: D.
x = 32
D
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MCQ 251 Mark
ABCD is a parallelogram in which $\angle A =72$. Measures of $\angle B , \angle C$ and $\angle D$ respectively will be :
  • A
    72, 108, 108
  • B
    108, 108, 72
  • 108, 72, 108
  • D
    none of these
Answer
Correct option: C.
108, 72, 108
C
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MCQ 261 Mark
The angles of a quadrilateral are in the ratio 2 : 4 : 5 : 7. The angles of given quadrilateral are :
  • A
    40, 60, 100, 160
  • B
    40, 80, 120, 160
  • 40, 80, 100, 140
  • D
    40, 60, 100, 160
Answer
Correct option: C.
40, 80, 100, 140
C
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MCQ 271 Mark
Three angles of a quadrilateral measure 56, 115 and 84. Measure of the fourth angle is:
  • A
    100
  • 105
  • C
    95
  • D
    110
Answer
Correct option: B.
105
B
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MCQ 281 Mark
Assertion (A) : Every square is a parallelogram.
Reason (R) : In a square as well as in a parallelogram, the diagonals two diagonals are equal in length.
  • A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • D
    Both A and R are false.
Answer
Correct option: A.
A is true, R is false
A
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MCQ 291 Mark
Assertion (A) : If diagonals of a quadrilateral are equal, then it must be a rectangle.
Reason (R) : The diagonals of a rectangle are equal.
  • A
    A is true, R is false
  • A is false, R is true
  • C
    Both A and R are true
  • D
    Both A and R are false.
Answer
Correct option: B.
A is false, R is true
B
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MCQ 301 Mark
Assertion (A): The two diagonals of a rectangle are equal and bisect each other at right angles.
Reason (R) : Every rectangle is a square.
  • A
    A is true, R is false
  • B
    A is false, R is true
  • C
    Both A and R are true
  • Both A and R are false.
Answer
Correct option: D.
Both A and R are false.
D
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MCQ 311 Mark
PQRS is a rhombus in which $PQ =6 cm$ and $\angle PQR =120^{\circ}$. The length of the diagonal QS is :
  • 6 cm
  • B
    7 cm
  • C
    8 cm
  • D
    11 cm
Answer
Correct option: A.
6 cm
A
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MCQ 321 Mark
The diagonals of a quadrilateral are equal and they bisect each other. The quadrilateral is definitely a:
  • rectangle
  • B
    square
  • C
    rhombus
  • D
    parallelogram
Answer
Correct option: A.
rectangle
A
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MCQ 331 Mark
If the opposite angles of a quadrilateral are equal, then it will definitely be a :
  • A
    rectangle
  • B
    square
  • C
    rhombus
  • parallelogram
Answer
Correct option: D.
parallelogram
D
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MCQ 341 Mark
If the lengths of the diagonals of a rhombus are 24 cm and 10 cm , then the length of its each side is :
  • A
    26 cm
  • B
    17 cm
  • C
    15 cm
  • 13 cm
Answer
Correct option: D.
13 cm
D
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MCQ 351 Mark
The bisectors of $\angle A$ and $\angle B$ of the parallelogram ABCD intersect at P on the side CD. If $BC =3 cm$, then $AB =$
  • 4 cm
  • B
    5 cm
  • C
    6 cm
  • D
    8 cm
Answer
Correct option: A.
4 cm
A
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MCQ 361 Mark
The bisectors of $\angle A$ and $\angle B$ of the parallelogram ABCD intersect at $E . \angle AEB =$
  • A
    $100^{\circ}$
  • $90^{\circ}$
  • C
    $80^{\circ}$
  • D
    $60^{\circ}$
Answer
Correct option: B.
$90^{\circ}$
B
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MCQ 371 Mark
In the parallelogram $ABCD , \angle A : \angle B =3: 5 . \angle C =$
  • $67.5^{\circ}$
  • B
    $112.5^{\circ}$
  • C
    $45^{\circ}$
  • D
    $135^{\circ}$
Answer
Correct option: A.
$67.5^{\circ}$
A
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MCQ 381 Mark
If $\angle ADB$ of the rhombus ABCD is $30^{\circ}$, then $\angle ACB =$
  • A
    $30^{\circ}$
  • $60^{\circ}$
  • C
    $70^{\circ}$
  • D
    $90^{\circ}$
Answer
Correct option: B.
$60^{\circ}$
B
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MCQ 391 Mark
The diagonals of the rectangle ABCD intersect at O . If $\angle OBC =64^{\circ}$, then $\angle OAB =$
  • A
    $64^{\circ}$
  • B
    $32^{\circ}$
  • $26^{\circ}$
  • D
    $36^{\circ}$
Answer
Correct option: C.
$26^{\circ}$
C
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MCQ 401 Mark
ABCD is a parallelogram in which $\angle BAD =70^{\circ}$ and $\angle BAC =50^{\circ}$, then $\angle CBD =$
  • A
    $45^{\circ}$
  • $60^{\circ}$
  • C
    $70^{\circ}$
  • D
    $80^{\circ}$
Answer
Correct option: B.
$60^{\circ}$
B
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MCQ 411 Mark
The lengths of diagonals of a rhombus are 24 cm and 18 cm respectively, length of each side of the rhombus is :
  • A
    25 cm
  • 15 cm
  • C
    35 cm
  • D
    45 cm
Answer
Correct option: B.
15 cm
B
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MCQ 421 Mark
In a parallelogram, an angle is $\frac{4}{5}$ th of its adjacent angle, then angles of the parallelogram are :
  • $80^{\circ}, 100^{\circ}, 80^{\circ}, 100^{\circ}$
  • B
    $70^{\circ}, 110^{\circ}, 70^{\circ}, 110^{\circ}$
  • C
    $60^{\circ}, 120^{\circ}, 60^{\circ}, 120^{\circ}$
  • D
    none of these
Answer
Correct option: A.
$80^{\circ}, 100^{\circ}, 80^{\circ}, 100^{\circ}$
A
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MCQ 431 Mark
ABCD is a rhombus. If $\angle A =70^{\circ}$, then $\angle CDB$ will be :
  • A
    $45^{\circ}$
  • B
    $65^{\circ}$
  • $55^{\circ}$
  • D
    $75^{\circ}$
Answer
Correct option: C.
$55^{\circ}$
C
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MCQ 441 Mark
Each side of a rhombus is 10 cm and one of its diagonals is 16 cm , length of other diagonal will be :
  • A
    11 cm
  • 12 cm
  • C
    13 cm
  • D
    15 cm
Answer
Correct option: B.
12 cm
B
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MCQ 451 Mark
ABCD is parallelogram in which $AB =9.5 cm$ and its perimeter is 30 cm . Length of each side of parallelogram ABCD is :
  • $AB =9.5 cm, DC =9.5 cm, BC =5.5 cm, DA =5.5 cm$
  • B
    $AB =9.5 cm, BC =9.5 cm, DC =5.5 cm, DA =5.5 cm$
  • C
    $DC =5.5 cm, BC =5.5 cm, AB =9.5 cm, AD =9.5 cm$
  • D
    none of these
Answer
Correct option: A.
$AB =9.5 cm, DC =9.5 cm, BC =5.5 cm, DA =5.5 cm$
A
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MCQ 461 Mark
If one angle of a parallelogram is $30^{\circ}$ less than twice the smallest angle, then measure of each angle will be :
  • A
    $60^{\circ}, 80^{\circ}, 80^{\circ}, 140^{\circ}$
  • $70^{\circ}, 110^{\circ}, 70^{\circ}, 110^{\circ}$
  • C
    $60^{\circ}, 120^{\circ}, 60^{\circ}, 120^{\circ}$
  • D
    $75^{\circ}, 105^{\circ}, 75^{\circ}, 105^{\circ}$
Answer
Correct option: B.
$70^{\circ}, 110^{\circ}, 70^{\circ}, 110^{\circ}$
B
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MCQ 471 Mark
In parallelogram ABCD , if $\angle A =2 x+25^{\circ}$ and $\angle B =3 x-5^{\circ}$, then value of $x$ will be :
  • A
    $x=13^{\circ}$
  • B
    $x=23^{\circ}$
  • C
    $x=33^{\circ}$
  • $x=32^{\circ}$
Answer
Correct option: D.
$x=32^{\circ}$
D
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MCQ 481 Mark
ABCD is a parallelogram in which $\angle A =72^{\circ}$. Measures of $\angle B , \angle C$ and $\angle D$ respectively will be :
  • A
    $72^{\circ}, 108^{\circ}, 108^{\circ}$
  • B
    $108^{\circ}, 108^{\circ}, 72^{\circ}$
  • $108^{\circ}, 72^{\circ}, 108^{\circ}$
  • D
    none of these
Answer
Correct option: C.
$108^{\circ}, 72^{\circ}, 108^{\circ}$
C
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MCQ 491 Mark
The angles of a quadrilateral are in the ratio $2: 4: 5: 7$. The angles of given quadrilateral are :
  • A
    $40^{\circ}, 60^{\circ}, 100^{\circ}, 160^{\circ}$
  • B
    $40^{\circ}, 80^{\circ}, 120^{\circ}, 120^{\circ}$
  • $40^{\circ}, 80^{\circ}, 100^{\circ}, 140^{\circ}$
  • D
    $40^{\circ}, 60^{\circ}, 100^{\circ}, 160^{\circ}$
Answer
Correct option: C.
$40^{\circ}, 80^{\circ}, 100^{\circ}, 140^{\circ}$
C
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MCQ 501 Mark
Three angles of a quadrilateral measure $56^{\circ}, 115^{\circ}$ and $84^{\circ}$. Measure of the fourth angle is :
  • A
    $100^{\circ}$
  • $105^{\circ}$
  • C
    $95^{\circ}$
  • D
    $110^{\circ}$
Answer
Correct option: B.
$105^{\circ}$
B
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