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NDA Exam Mathematics Study Material

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Geometry

The angles of 1 triangle are in ratio of 3 : 5 respectively. What is the difference between twice the smallest angle and the second largest angle of the triangle?

a) 45°
b) 10°
c) 25°
d) 30°

✔Answer

✔Solution

Correct Answer Is : 30°

Solution Is :

One of the angles of a parallelogram is 420. What is the sum of half the smallest angle and twice the largest angle of the parallelogram ?

a) 256°
b) 307 °
c) 297°
d) Cannot be determined

✔Answer

✔Solution

Correct Answer Is : 297°

Solution Is :

In the following circle if ∠BAT=65°, then the value of ∠BAD is

a) 60°
b) 45°
c) 65°
d) Data inadequate

✔Answer

✔Solution

Correct Answer Is : Data inadequate

Solution Is :

If l is the in-centre of Δ ABC and ∠A=60°, then the value of ∠BIC is

a) 100°
b) 120°
c) 150°
d) 110°

✔Answer

✔Solution

Correct Answer Is : 120°

Solution Is :

The length of room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in squre meters) is

a) 280
b) 325
c) 300
d) 420

✔Answer

✔Solution

Correct Answer Is : 300

Solution Is :

If an exterior angle of a cycle quardrilateral be 50° then the interior opposite angle is

a) 130°
b) 40°
c) 50°
d) 90°

✔Answer

✔Solution

Correct Answer Is : 50°

Solution Is :

ABCD is a rhombus whose side AB = 4 cm and angle ABC = 120o , the length of diagnol BD is equal to

a) 1 cm
b) 2 cm
c) 3 cm
d) 4 cm

✔Answer

✔Solution

Correct Answer Is : 4 cm

Solution Is :

D and E are two points on the sides AB and AC of the triangle ABC such that DE II BC and AD/BD = 2/3 . Find the ratio of the Area of Trapezium DECB to theArea of triangle ABC .

a) 4 : 25
b) 2 : 5
c) 4 : 9
d) 21 : 25

✔Answer

✔Solution

Correct Answer Is : 21 : 25

Solution Is :

A chord of length 16 cm is at a distance of 6 cm from the centre of circle . The radius of the circle is ?

a) 8 cm
b) 10 cm
c) 16 cm
d) 22 cm

✔Answer

✔Solution

Correct Answer Is : 10 cm

Solution Is :

The x intercept of the graph of 7x-3y = 2 is

a) 2/5
b) 2/7
c) 3/4
d) 3/7

✔Answer

✔Solution

Correct Answer Is : 2/7

Solution Is : 7x - 3y = 2
Intercept form of line is , x/a + y/b = 1
Converting equation to intercept form ,
x / (2/7) + y/ (-2/3 ) = 1
x intercept = 2/7

NDA Exam Mathematics Study Material

Geometry

The angles of 1 triangle are in ratio of 3 : 5 respectively. What is the difference between twice the smallest angle and the second largest angle of the triangle?

Correct Answer Is : 30°

Solution Is :

One of the angles of a parallelogram is 420. What is the sum of half the smallest angle and twice the largest angle of the parallelogram ?

Correct Answer Is : 297°

Solution Is :

In the following circle if ∠BAT=65°, then the value of ∠BAD is

Correct Answer Is : Data inadequate

Solution Is :

If l is the in-centre of Δ ABC and ∠A=60°, then the value of ∠BIC is

Correct Answer Is : 120°

Solution Is :

The length of room floor exceeds its breadth by 20 m. The area of the floor remains unaltered when the length is decreased by 10 m but the breadth is increased by 5 m. The area of the floor (in squre meters) is

Correct Answer Is : 300

Solution Is :

If an exterior angle of a cycle quardrilateral be 50° then the interior opposite angle is

Correct Answer Is : 50°

Solution Is :

ABCD is a rhombus whose side AB = 4 cm and angle ABC = 120o , the length of diagnol BD is equal to

Correct Answer Is : 4 cm

Solution Is :

D and E are two points on the sides AB and AC of the triangle ABC such that DE II BC and AD/BD = 2/3 . Find the ratio of the Area of Trapezium DECB to theArea of triangle ABC .

Correct Answer Is : 21 : 25

Solution Is :

A chord of length 16 cm is at a distance of 6 cm from the centre of circle . The radius of the circle is ?

Correct Answer Is : 10 cm

Solution Is :

The x intercept of the graph of 7x-3y = 2 is

Correct Answer Is : 2/7

Solution Is : 7x - 3y = 2 Intercept form of line is , x/a + y/b = 1 Converting equation to intercept form , x / (2/7) + y/ (-2/3 ) = 1 x intercept = 2/7

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Solution Is : 7x - 3y = 2
Intercept form of line is , x/a + y/b = 1
Converting equation to intercept form ,
x / (2/7) + y/ (-2/3 ) = 1
x intercept = 2/7