Geometry Quantitative Reasoning

Geometry Quantitative Reasoning refers to the Quantitative portion of the National Aptitude Test (NAT), a standardised test for admissions in Pakistan.

1 / 50

In a parallelogram, opposite sides are _______.

Equal and parallel

Perpendicular

None of these

Unequal

2 / 50

In a right triangle, if one angle is 30°, the other non-right angle is _______.

75°

60°

50°

45°

3 / 50

The volume of a cube of side 5 cm is _______.

25 cm³

125 cm³

100 cm³

50 cm³

4 / 50

The length of the diagonal of a rectangle with sides 9 cm and 12 cm is _______.

16 cm

14 cm

15 cm

18 cm

5 / 50

A triangle having all sides equal is called _______.

Scalene

Equilateral

Right

Isosceles

6 / 50

A right angle measures _______.

45°

90°

180°

60°

7 / 50

In an isosceles triangle, each of the equal angles is 70°. The vertex angle is _______.

35°

30°

40°

50°

8 / 50

The diagonal of a square is 10√2 cm. Find its area.

150 cm²

100 cm²

200 cm²

250 cm²

9 / 50

The area of a rhombus with diagonals 10 cm and 8 cm is _______.

20 cm²

80 cm²

40 cm²

30 cm²

10 / 50

The area of a triangle = ½ × base × _______.

Hypotenuse

Height

Radius

Diameter

11 / 50

The radius of a sphere is 7 cm. Its volume is _______. (π = 22/7)

900 cm³

1437 cm³

1400 cm³

1436 cm³

12 / 50

The perimeter of an equilateral triangle with side 9 cm is _______.

24 cm

18 cm

36 cm

27 cm

13 / 50

The sum of all interior angles of a quadrilateral is _______.

270°

180°

360°

90°

14 / 50

The diameter of a circle is 14 cm. What is the area of the circle?

154 cm²

49π cm²

98π cm²

77π cm²

15 / 50

A triangle with angles 90°, 45°, and 45° is called a _______.

Obtuse

Scalene

Right isosceles triangle

Equilateral

16 / 50

The sum of exterior angles of any polygon is _______.

180°

90°

270°

360°

17 / 50

If the base of a triangle is 12 cm and height is 8 cm, its area is _______.

96 cm²

64 cm²

48 cm²

72 cm²

18 / 50

The sum of all interior angles of a triangle is _______.

120°

360°

180°

90°

19 / 50

The area of a circle and a square are equal. If the radius of the circle is 7 cm, the side of the square is _______. (π = 22/7)

14 cm

11.5 cm

12 cm

13 cm

20 / 50

If the radius of a circle is doubled, its area becomes _______.

3 times

2 times

8 times

4 times

21 / 50

The area of a parallelogram is given by _______.

2 × (base + height)

base × height

½ × base × height

base ÷ height

22 / 50

The area of a circle with diameter 14 cm is _______. (π = 22/7)

176 cm²

154 cm²

77 cm²

120 cm²

23 / 50

Each angle of an equilateral triangle measures _______.

60°

120°

45°

90°

24 / 50

The area of a rectangle = _______.

L + W

L ÷ W

2 × (L + W)

L × W

25 / 50

The perimeter of a square of side 5 cm is _______.

20 cm

25 cm

15 cm

30 cm

26 / 50

A polygon with 8 sides is called a _______.

Octagon

Nonagon

Pentagon

Hexagon

27 / 50

A rectangular field is 80 m long and 60 m wide. How many meters of fencing are required for 3 rounds.

480 m

840 m

600 m

420 m

28 / 50

A solid cylinder has a height of 10 cm and radius of 7 cm. Its volume is _______. (π = 22/7)

1200 cm³

1000 cm³

1540 cm³

1570 cm³

29 / 50

The ratio of the areas of two circles whose radii are 3 cm and 6 cm is _______.

1 : 4

1 : 2

1 : 3

1 : 9

30 / 50

The length and breadth of a rectangle are 15 m and 10 m respectively. Its perimeter is _______.

60 m

50 m

40 m

30 m

31 / 50

The diagonal of a square with side 10 cm is _______.

10√2 cm

20 cm

15 cm

12 cm

32 / 50

The radius of a circle is 7 cm. Its diameter is _______.

3.5 cm

14 cm

21 cm

10 cm

33 / 50

The sum of the interior angles of a 10-sided polygon is _______.

1260°

1440°

1620°

1280°

34 / 50

The perimeter of a circle is also known as its _______.

Area

Circumference

Diameter

Sector

35 / 50

A line that touches a circle at exactly one point is called a _______.

Radius

Chord

Diameter

Tangent

36 / 50

The area of a square with side 6 cm is _______.

12 cm²

36 cm²

24 cm²

18 cm²

37 / 50

The total surface area of a cube with edge 8 cm is _______.

384 cm²

640 cm²

512 cm²

256 cm²

38 / 50

The radius of a sphere is halved. Its volume becomes _______.

⅛

⅓

39 / 50

In a circle, a chord is 12 cm long and the radius is 10 cm. The distance of the chord from the center is _______.

8 cm

6 cm

5 cm

4 cm

40 / 50

A circle has a radius of 10 cm. Find its area. (π = 3.14)

300 cm²

200 cm²

314 cm²

250 cm²

41 / 50

The diagonals of a rhombus are 16 cm and 12 cm. The side length is _______.

14 cm

12 cm

8 cm

10 cm

42 / 50

In a circle, the longest chord is the _______.

Radius

Tangent

Arc

Diameter

43 / 50

The height of a cone is 24 cm and its radius is 7 cm. Its slant height is _______.

25 cm

28 cm

24 cm

26 cm

44 / 50

The circumference of a circle = _______.

πd²

r/2

2πr

πr²

45 / 50

A circle has a radius of 14 cm. Find its circumference. (Take π = 22/7)

66 cm

88 cm

44 cm

99 cm

46 / 50

The number of sides of a hexagon is _______.

47 / 50

The perimeter of an equilateral triangle is 36 cm. Its area is _______.

60√3 cm²

45√3 cm²

54√3 cm²

64√3 cm²

48 / 50

If two angles of a triangle are 60° and 80°, the third angle is _______.

60°

40°

20°

30°

49 / 50

The sum of interior angles of a pentagon is _______.

540°

450°

360°

600°

50 / 50

A triangle has sides 5 cm, 12 cm, and 13 cm. It is a _______ triangle.

Right

Obtuse

Acute

Equilateral

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