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Territorial Army Officers Exam Elementary Mathematics Study Material

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Areas of Parallelogram and Triangles

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD:

a) Is a rectangle
b) Is always a rhombus
c) Is always Parallelogram
d) None of these

✔Answer

Correct Answer Is : None of these

Solution Is :

The median of a triangle divides it into two:

a) Triangles of equal are
b) Congruent Triangles
c) Right Triangle
d) Isoceleous Triangle

✔Answer

Correct Answer Is : Triangles of equal are

Solution Is :

If a triangle and a parallelogram are on the same base and between same parallels,then the ratio of the area of the triangle to the area of parallelogram is ?

a) 1:04
b) 2:01
c) 1:02
d) 1:01

✔Answer

Correct Answer Is : 1:02

Solution Is :

ABCD is a rectangles of Area 40 cm∧2. X is any point on AB, What is the area of the triangle XCD?

a) 10 cm∧2
b) 20 cm∧2
c) 40 cm∧2
d) Insufficient data

✔Answer

Correct Answer Is : 20 cm∧2

Solution Is :

ABCD is a rectangles. EFGH are the mid points of the side. Area of the rectangle is 40 cm∧2. The figure EFGH is ?

a) Parallelogram with area 30 cm∧2
b) Rhombus with area 20 cm∧2
c) Square of the area 25 cm∧2
d) Insufficent data

✔Answer

Correct Answer Is : Rhombus with area 20 cm∧2

Solution Is :

In a triangle ABC, E is the mid-point of median AD, which of the following is false?

a) Area of triangle ABD=(1/2) Area of triangle ABC
b) Area of triangle BED=(1/4) Area of triangle ABC
c) Area of triangle ABE=(1/4) Area of triangle ABC
d) None of these

✔Answer

Correct Answer Is : None of these

Solution Is :

The median of the triangle ABC meets at point G,which of these is not true?

a) Area of triangle AGC=Area of triangle BGC
b) Area of triangle AGC=Area of triangle AGB
c) Area of triangle AGC=(1/3) Area of triangle ABC
d) None of these

✔Answer

Correct Answer Is : None of these

Solution Is :

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O,

a) Area of triangle AOD=Area of triangle BOC
b) Area of triangle AOD=(1/2)Area of triangle BOC
c) Area of triangle AOD=(1/3)Area of triangle BOC
d) None of these

✔Answer

Correct Answer Is : Area of triangle AOD=Area of triangle BOC

Solution Is :

Can two AREAS OF PARALLELOGRAM AND TRIANGLES be congruent by SSS rule?

a) Yes
b) No
c) Sometimes
d) None of these

✔Answer

Correct Answer Is : Yes

Solution Is :

All sides are equal in Paralleogram ?

a) Yes
b) No
c) Sometimes
d) None of these

✔Answer

Correct Answer Is : No

Solution Is :

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Territorial Army Officers Exam Elementary Mathematics Study Material

Areas of Parallelogram and Triangles

ABCD is a quadrilateral whose diagonal AC divides it into two parts, equal in area, then ABCD:

Correct Answer Is : None of these

Solution Is :

The median of a triangle divides it into two:

Correct Answer Is : Triangles of equal are

Solution Is :

If a triangle and a parallelogram are on the same base and between same parallels,then the ratio of the area of the triangle to the area of parallelogram is ?

Correct Answer Is : 1:02

Solution Is :

ABCD is a rectangles of Area 40 cm∧2. X is any point on AB, What is the area of the triangle XCD?

Correct Answer Is : 20 cm∧2

Solution Is :

ABCD is a rectangles. EFGH are the mid points of the side. Area of the rectangle is 40 cm∧2. The figure EFGH is ?

Correct Answer Is : Rhombus with area 20 cm∧2

Solution Is :

In a triangle ABC, E is the mid-point of median AD, which of the following is false?

Correct Answer Is : None of these

Solution Is :

The median of the triangle ABC meets at point G,which of these is not true?

Correct Answer Is : None of these

Solution Is :

Diagonals AC and BD of a trapezium ABCD with AB || DC intersect each other at O,

Correct Answer Is : Area of triangle AOD=Area of triangle BOC

Solution Is :

Can two AREAS OF PARALLELOGRAM AND TRIANGLES be congruent by SSS rule?

Correct Answer Is : Yes

Solution Is :

All sides are equal in Paralleogram ?

Correct Answer Is : No

Solution Is :

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