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NDA Exam Mathematics Study Material

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Quadratic equations

In rectangle ABCD, diagonals AC and BD intersect at T. If BD=60 and TC=x+10, then the value of x is

a)        15 cm
b)        10 cm
c)        20 cm
d)        12 cm

✔Answer

Correct Answer Is : 20 cm

Solution Is :

The diagonals of a parallelogram PQRS intersect at O. If angle QOR=90°, angle QSR=40° then angle OPQ=

a)         70°
b)         50°
c)         60°
d)         120°

✔Answer

Correct Answer Is : 50°

Solution Is :

In the adjoining figure, D, E and F are the mid-points of sides BC, CA and AB of triangle ABC. If AB=3cm, BC=4 cm and CA=4cm, then perimeter of triangle DEF is

a)        10
b)        5.5
c)        8
d)        12

✔Answer

Correct Answer Is : 5.5

Solution Is :

Which of the following statements is true:

a)        Diagonals of a rectangle are perpendicular to each other
b)        A kite is a parallelogram whose adjacent sides are equal
c)        Diagonals of a rhombus are perpendicular to each other
d)        Only one pair of sides of a parallelogram are parallel

✔Answer

Correct Answer Is : Diagonals of a rhombus are perpendicular to each other

Solution Is :

The quadrilateral formed by joining the mid-points of the sides of a rectangle taken in order is a

a)        rhombus
b)        rectangle
c)        square
d)        kite

✔Answer

Correct Answer Is : rhombus

Solution Is :

In the adjacent figure, PQRS is a parallelogram. The bisectors of angles P and Q intersect at O. Then the angle POQ is

a)        straight angle
b)        obtuse angle
c)        acute angle
d)        right angle

✔Answer

Correct Answer Is : right angle

Solution Is :

In the adjoining figure, ABCD and AEFG are two parallelograms. If angle C=80° then angle GFE is

a)        30°
b)        80°
c)        60°
d)        120°

✔Answer

Correct Answer Is : 80°

Solution Is :

Points A, B, C, and D are midpoints of the sides of square PQRS. If the area of PQRS is 48, the area of ABCD is

a)         24
b)         36
c)         12
d)         18

✔Answer

Correct Answer Is : 24

Solution Is :

The sides of a rhombus are equal to one of its diagonals. The smallest angle of a rhombus is

a)        60°
b)        90°
c)        45°
d)        30°

✔Answer

Correct Answer Is : 60°

Solution Is :

Three angles of a quadrilateral are 80°,70° and 140°. The fourth angle is

a)        90°
b)        70°
c)        110°
d)        80°

✔Answer

Correct Answer Is : 70°

Solution Is :

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NDA Exam Mathematics Study Material

Quadratic equations

In rectangle ABCD, diagonals AC and BD intersect at T. If BD=60 and TC=x+10, then the value of x is

Correct Answer Is : 20 cm

Solution Is :

The diagonals of a parallelogram PQRS intersect at O. If angle QOR=90°, angle QSR=40° then angle OPQ=

Correct Answer Is : 50°

Solution Is :

In the adjoining figure, D, E and F are the mid-points of sides BC, CA and AB of triangle ABC. If AB=3cm, BC=4 cm and CA=4cm, then perimeter of triangle DEF is

Correct Answer Is : 5.5

Solution Is :

Which of the following statements is true:

Correct Answer Is : Diagonals of a rhombus are perpendicular to each other

Solution Is :

The quadrilateral formed by joining the mid-points of the sides of a rectangle taken in order is a

Correct Answer Is : rhombus

Solution Is :

In the adjacent figure, PQRS is a parallelogram. The bisectors of angles P and Q intersect at O. Then the angle POQ is

Correct Answer Is : right angle

Solution Is :

In the adjoining figure, ABCD and AEFG are two parallelograms. If angle C=80° then angle GFE is

Correct Answer Is : 80°

Solution Is :

Points A, B, C, and D are midpoints of the sides of square PQRS. If the area of PQRS is 48, the area of ABCD is

Correct Answer Is : 24

Solution Is :

The sides of a rhombus are equal to one of its diagonals. The smallest angle of a rhombus is

Correct Answer Is : 60°

Solution Is :

Three angles of a quadrilateral are 80°,70° and 140°. The fourth angle is

Correct Answer Is : 70°

Solution Is :

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