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NDA Exam Mathematics Study Material

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Quadratic equations

Which of the following quadrilaterals is a rhombus

a)         All four sides are equal
b)         Opposite sides are equal
c)         Opposite sides are parallel
d)         Angle between the diagonals is 60°

✔Answer

Correct Answer Is : All four sides are equal

Solution Is :

In a rhombus PQRS angle PQR=30° then angle QRS is equal to

a)         45°
b)         60°
c)         75°
d)         90°

✔Answer

Correct Answer Is : 75°

Solution Is :

If an angle of a parallelogram is two-thirds of its adjacent angle then the smallest angle of the parallelogram is

a)         30°
b)         72°
c)         60°
d)         108°

✔Answer

Correct Answer Is : 72°

Solution Is :

A parallelogram need not be a rectangle if

a)      diagonals are congruent
b)      diagonals bisect the angles to which they are drawn.
c)        diagonals are perpendicular to each other.
d)        opposite sides are parallel

✔Answer

Correct Answer Is : opposite sides are parallel

Solution Is :

In the accompanying diagram of rhombus ABCD, m

a)        45
b)        90
c)        120
d)        140

✔Answer

Correct Answer Is : 90

Solution Is :

If two consecutive sides of a rhombus are represented by 4x - 8 and 2x + 6, then the perimeter of the rhombus is

a)        80
b)        60
c)        40
d)        76

✔Answer

Correct Answer Is : 80

Solution Is :

The area of a rhombus is

a)        1/2 x product of the diagonals
b)        product of diagonals
c)        1/3 x product of the diagonals
d)        1/4 x product of the diagonals

✔Answer

Correct Answer Is : 1/2 x product of the diagonals

Solution Is :

In the adjoining figure ABCD is a rhombus where AC=8cm and BD=6cm then BC equals to

a)         7 cm
b)        10 cm
c)        5 cm
d)        12 cm

✔Answer

Correct Answer Is : 5 cm

Solution Is :

In a quadrilateral ABCD, angle A plus angle C is 2 times angle B plus angle D. If angle A=40° then angle B equals to

a)        60°
b)    75°
c)         110°
d)    None of the above

✔Answer

Correct Answer Is : None of the above

Solution Is :

Which property is not true for all trapezoids?

a)         Only two opposite sides are parallel.
b)         Angles of opposite parallel sides are equal
c)         Two opposite sides are non-parallel
d)       All angles are equal.

✔Answer

NDA Exam Mathematics Study Material

Quadratic equations

Which of the following quadrilaterals is a rhombus

Correct Answer Is : All four sides are equal

Solution Is :

In a rhombus PQRS angle PQR=30° then angle QRS is equal to

Correct Answer Is : 75°

Solution Is :

If an angle of a parallelogram is two-thirds of its adjacent angle then the smallest angle of the parallelogram is

Correct Answer Is : 72°

Solution Is :

A parallelogram need not be a rectangle if

Correct Answer Is : opposite sides are parallel

Solution Is :

In the accompanying diagram of rhombus ABCD, m

Correct Answer Is : 90

Solution Is :

If two consecutive sides of a rhombus are represented by 4x - 8 and 2x + 6, then the perimeter of the rhombus is

Correct Answer Is : 80

Solution Is :

The area of a rhombus is

Correct Answer Is : 1/2 x product of the diagonals

Solution Is :

In the adjoining figure ABCD is a rhombus where AC=8cm and BD=6cm then BC equals to

Correct Answer Is : 5 cm

Solution Is :

In a quadrilateral ABCD, angle A plus angle C is 2 times angle B plus angle D. If angle A=40° then angle B equals to

Correct Answer Is : None of the above

Solution Is :

Which property is not true for all trapezoids?

Correct Answer Is : All angles are equal.

Solution Is :

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