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Territorial Army Officers Exam Elementary Mathematics Study Material

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Areas of Parallelogram and Triangles

The median of a traingle divides it into two

a) Right triangles
b) Triangles of equal area
c) Congruent triangles
d) Isoceleos triangles

✔Answer

Correct Answer Is : Triangles of equal area

Solution Is :

The figure obtained by joining the mid-points of the adjacent sides of a reactangle of sides 8cm and 6cm is :

a) A reactangle of area 24 cm∧2
b) A square of area of 25 cm∧2
c) A trapezium of area 24 cm∧2
d) A rhombus of area 24 cm∧2

✔Answer

Correct Answer Is : A rhombus of area 24 cm∧2

Solution Is :

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

a) 1:04
b) 1:02
c) 1:03
d) 3:01

✔Answer

Correct Answer Is : 1:02

Solution Is :

In ∆ABC, E is the midpoint of median AD. ar (∆BED) =

a) 1/2 ar(∆ABC)
b) 1/3 ar(∆ABC)
c) 1/4 ar(∆ABC)
d) None of these

✔Answer

Correct Answer Is : 1/4 ar(∆ABC)

Solution Is :

In ∆ABC, D, E, F are respectively the midpoints of the sides AB, BC and AC. Ratio of area of ∆DEF: area of ∆ABC =

a) 1:04
b) 2:03
c) 3:02
d) 3:04

✔Answer

Correct Answer Is : 1:04

Solution Is :

If the base of a parallelogram is 8 cm and its altitude is 5 cm, then its area is equal to:

a) 10 cm∧2
b) 15 cm∧2
c) 20 cm∧2
d) 40 cm∧2

✔Answer

Correct Answer Is : 40 cm∧2

Solution Is :

If E, F, G, H are, respectively, the midpoints of the sides of a parallelogram ABCD, and ar (EFGH) = 40 cm∧2, then the ar (parallelogram ABCD) is:

a) 20 cm∧2
b) 40 cm∧2
c) 60 cm∧2
d) 80 cm∧2

✔Answer

Correct Answer Is : 80 cm∧2

Solution Is :

The length of the diagonal of the square is 10 cm. The area of the square is:

a) 20 cm∧2
b) 50 cm∧2
c) 70 cm∧2
d) 100 cm∧2

✔Answer

Correct Answer Is : 50 cm∧2

Solution Is :

In the figure, ABCD is a parallelogram and `O` is the midpoint of AB. If an area of the parallelogram is 74 sq cm, then area of ∆DOC is:

a) 18.5 sq cm
b) 37 sq cm
c) 158 sq cm
d) 222 sq cm

✔Answer

Correct Answer Is : 37 sq cm

Solution Is :

In ∆ABC, G is the centroid, then area of ∆AGC is__________of area of ∆ABC.

a) 0.5
b) 0.333
c) 0.25
d) None of these

✔Answer

Correct Answer Is : 0.333

Solution Is :

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Territorial Army Officers Exam Elementary Mathematics Study Material

Areas of Parallelogram and Triangles

The median of a traingle divides it into two

Correct Answer Is : Triangles of equal area

Solution Is :

The figure obtained by joining the mid-points of the adjacent sides of a reactangle of sides 8cm and 6cm is :

Correct Answer Is : A rhombus of area 24 cm∧2

Solution Is :

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

Correct Answer Is : 1:02

Solution Is :

In ∆ABC, E is the midpoint of median AD. ar (∆BED) =

Correct Answer Is : 1/4 ar(∆ABC)

Solution Is :

In ∆ABC, D, E, F are respectively the midpoints of the sides AB, BC and AC. Ratio of area of ∆DEF: area of ∆ABC =

Correct Answer Is : 1:04

Solution Is :

If the base of a parallelogram is 8 cm and its altitude is 5 cm, then its area is equal to:

Correct Answer Is : 40 cm∧2

Solution Is :

If E, F, G, H are, respectively, the midpoints of the sides of a parallelogram ABCD, and ar (EFGH) = 40 cm∧2, then the ar (parallelogram ABCD) is:

Correct Answer Is : 80 cm∧2

Solution Is :

The length of the diagonal of the square is 10 cm. The area of the square is:

Correct Answer Is : 50 cm∧2

Solution Is :

In the figure, ABCD is a parallelogram and `O` is the midpoint of AB. If an area of the parallelogram is 74 sq cm, then area of ∆DOC is:

Correct Answer Is : 37 sq cm

Solution Is :

In ∆ABC, G is the centroid, then area of ∆AGC is__________of area of ∆ABC.

Correct Answer Is : 0.333

Solution Is :

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