CUET General Test - Geometry - Quadrilaterals | Free Questions

Q1:

30th May Shift 2

Geometry > Quadrilaterals

Easy

If the side of a square is increased by 8 cm, its area increases by 120 sq. cm. Find the side of the square.

3.5 cm

4.5 cm

2.5 cm

5.5 cm

Correct Answer

Option 1

Correct Answer

Explanation

Q2:

29th May Shift 1

Geometry > Quadrilaterals

Easy

Find the maximum distance between two points on the perimeter of a rectangular garden whose length and breadth are 20 meter and 15 meter.

25 meter

30 meter

35 meter

40 meter

Correct Answer

Option 1

Correct Answer

Explanation

Q3:

22nd May Shift 2

Geometry > Quadrilaterals

Medium

Consider the area of the following solids: (A) A rhombus whose diagonals are 48 cm and 20 cm long. (B) A trapezium with parallel sides 9.7 cm and 6.3 cm, and the distance between them is 6.5 cm. (C) A parallelogram with a base equal to 25 cm and the corresponding height measuring 16.8 cm. (D) A rhombus, whose diagonals are 30 cm and 16 cm. Arrange the above in ascending order. Choose the **correct** answer from the options given below:

(A), (B), (C), (D)

(B), (C), (A), (D)

(B), (D), (C), (A)

(C), (B), (D), (A)

Correct Answer

Option 3

Correct Answer

Explanation

Q4:

20th May Shift 1

Geometry > Quadrilaterals

Easy

Consider the following statements: Which is/are true? (A) The sum of any two sides of a triangle is greater than the third side. (B) The median of a triangle divides it into two triangles of equal area. (C) The diagonals of a parallelogram bisect each other. (D) The diagonals of rhombus are equal and bisect each other. Choose the **correct** answer from the options given below:

(A), (B) and (C) only

(A), (B) and (D) only

(B), (C) and (D) only

(A), (B), (C) and (D)

Correct Answer

Option 1

Correct Answer

Explanation

Q5:

19th May Shift 2

Geometry > Quadrilaterals

Medium

The length of one pair of opposite sides of a square is increased by 4 cm on each side; the ratio of the length and the breadth of the newly formed rectangle becomes 5 : 3. Find the area of the original square?

32 cm²

36 cm²

60 cm²

144 cm²

Correct Answer

Option 2

Correct Answer

Explanation

Q6:

14th May Shift 2

Geometry > Quadrilaterals

Easy

If each side of a square is increased by 40%, find the percentage change in its area.

96%

86%

76%

92%

Correct Answer

Option 1

Correct Answer

Explanation

Q7:

3 June Shift 2

Geometry > Quadrilaterals

Medium

The area of a rectangle whose length is 5 more than twice its width is 75 square unit. What is the perimeter of the rectangle?

20 units

30 units

40 units

50 units

Correct Answer

Option 3

Correct Answer

Explanation

Q8:

30 May Shift 2

Geometry > Quadrilaterals

Medium

If the points A(3, 0), B(x, 5), C(-1, 4) and D(-2, -1) are the vertices of a rhombus, taken in order, find the value of x.

-4

2

4

-2

Correct Answer

Option 3

Correct Answer

Explanation

Q9:

29 May Shift 2

Geometry > Quadrilaterals

Medium

If the points P(8,5), Q(4,8), R(0,5) and S(4,k) are the vertices of a rhombus, taken in order, then the value of k is

3

1

4

2

Correct Answer

Option 4

Correct Answer

Explanation

Q10:

29 May Shift 2

Geometry > Quadrilaterals

Medium

In the adjoining figure, a rectangle has dimensions of 18 cm x 12 cm. The area of the parallelogram (shaded portion) is <img src="https://balti.afterboards.in/QkZEU0YcGwtfqVv" width="400px"/>

166 cm²

176 cm²

156 cm²

186 cm²

Correct Answer

Option 3

Correct Answer

Explanation

Q11:

19 May Shift 1

Geometry > Quadrilaterals

Medium

Two perpendicular cross roads of equal width run through the middle of a rectangular field of length 80 m and breadth 60 m. If the area of the cross roads is 675 square meters, then the width of each road is:

5 m

2.5 m

12 m

15 m

Correct Answer

Option 1

Correct Answer

Explanation

Q12:

16 May Shift 1

Geometry > Quadrilaterals

Medium

The diagonal of a square is $4\sqrt{2}$ cm. The diagonal of another square whose area is double that of the first square, is:

16 cm

6 cm

$8\sqrt{2}$ cm

8 cm

Correct Answer

Option 4

Correct Answer

Explanation

Q13:

14 May Shift 1

Geometry > Quadrilaterals

Medium

A wire is looped in the form of a circle of diameter 70 cm. It is bent again into a square form. What will be the approximate length of the diagonal of the largest possible square? (Assume $\pi = 22/7$)

$45\sqrt{2}$ cm

60 cm

50 cm

$55\sqrt{2}$ cm

Correct Answer

Option 4

Correct Answer

Explanation

Q14:

CUET General Test 2024 Slot 1

Geometry > Quadrilaterals

Medium

In a square, lengths of the diagonals are $(4k + 6)$ cm and $(7k − 3)$ cm. The area of the square (in cm²) is:

144

162

169

172

Correct Answer

Option 2

Correct Answer

Explanation

Q15:

11 June Shift 2

Geometry > Quadrilaterals

Easy

The distance between two parallel sides of a trapezium is 15 m and its area is 480 m$^2$. If one of the parallel sides is 20 m long, then length of the other side is:

42 m

44 m

40 m

46 m

Correct Answer

Option 2

Correct Answer

Explanation

Q16:

7 June Shift 1

Geometry > Quadrilaterals

Medium

If perimeter of a rhombus is 104 cm and length of one of its diagonals is 48 cm, then area of the rhombus (in cm$^2$) is :

960

240

480

1344

Correct Answer

Option 3

Correct Answer

Explanation

Q17:

5 June Shift 2

Geometry > Quadrilaterals

Medium

If A (1, 2), B(4, y), C(x, 6) and D(3, 5) are the vertices of a parallelogram ABCD, then find the values of x and y.

$x=3, y=6$

$x=6, y=3$

$x=0, y=0$

$x=0, y=1$

Correct Answer

Option 2

Correct Answer

Explanation

Q18:

5 June Shift 2

Geometry > Quadrilaterals

Easy

A rectangle has its longer side 2 cm greater than its shorter side. Its area is 80 $cm^2$. Find the perimeter of the rectangle (in cm).

40

38

36

32

Correct Answer

Option 3

Correct Answer

Explanation

Q19:

1 June Shift 1

Geometry > Quadrilaterals

Hard

A quadrilateral has vertices in the order $(0, -1)$, $(-2, 3)$, $(6, 7)$ and $(8, 3)$. The quadrilateral is a:

Trapezium

Square

Rhombus

Rectangle

Correct Answer

Option 4

Correct Answer

Explanation

Q20:

30 May Shift 3

Geometry > Quadrilaterals

Easy

A rectangular room can be partitioned into two equal square rooms by a 7 meter long partition. What is the floor area of the rectangular room in $m^2$ ?

49

98

147

196

Correct Answer

Option 2

Correct Answer

Explanation

Q21:

21 May Shift 1

Geometry > Quadrilaterals

Medium

Find the perimeter of a rhombus whose one diagonal is 16 cm long and area is 240 cm$^2$.

68 cm

30 cm

24 cm

36 cm

Correct Answer

Option 1

Correct Answer

Explanation

Q22:

6 Oct Shift 1

Geometry > Quadrilaterals

Medium

In the given figure ABCD is a rhombus, the value of x is. <img src="https://balti.afterboards.in/QDwETqsWloDlfH7" width="300px"/>

40 degrees

50 degrees

90 degrees

60 degrees

Correct Answer

Option 2

Correct Answer

Explanation

Q23:

6 Oct Shift 1

Geometry > Quadrilaterals

Easy

If the area and sum of parallel side of a trapezium are 48 cm^2 and 48cm respectively. Then the distance between the parallel sides is

$\frac{1}{2}$ cm

1 cm

2 cm

3 cm

Correct Answer

Option 3

Correct Answer

Explanation

Q24:

6 Oct Shift 1

Geometry > Quadrilaterals

Medium

<img src="https://balti.afterboards.in/aKcqDd12lguC5cw" width="400px"/> Study the adjoining picture and answer the following questions:

The area of Trapezum DGCE is.

100 m^2

260 m^2

70 m^2

130 m^2

Correct Answer

Option 3

Correct Answer

Explanation

Q25:

26 Aug Shift 1

Geometry > Quadrilaterals

Easy

Find the maximum distance between two points on a perimeter of a rectangular field whose length and breath are 80 m and 60 m.

70 m

100 m

140 m

4800 m

Correct Answer

Option 2

Correct Answer

Explanation

Q26:

24 Aug Shift 1

Geometry > Quadrilaterals

Medium

Study the following carefully and answer the questions : In the given figure, ABCD is a rhombus in which diagonals AC and BD are 8 cm and 6 cm respectively. Diagonals intersect each other at O. <img src="https://balti.afterboards.in/XTIG6g0XvIug6ek" width="300px"/>

Side of the rhombus is :

Entered answer:

Correct Answer

1

Correct Answer

Explanation

Q27:

24 Aug Shift 1

Geometry > Quadrilaterals

Medium

Study the following carefully and answer the questions : In the given figure, ABCD is a rhombus in which diagonals AC and BD are 8 cm and 6 cm respectively. Diagonals intersect each other at O. <img src="https://balti.afterboards.in/XTIG6g0XvIug6ek" width="300px"/>

Area of $\triangle$OBC is :

$48 \text{ cm}^2$

$24 \text{ cm}^2$

$12 \text{ cm}^2$

$6 \text{ cm}^2$

Correct Answer

Option 4

Correct Answer

Explanation

Q28:

24 Aug Shift 1

Geometry > Quadrilaterals

Medium

Study the following carefully and answer the questions : In the given figure, ABCD is a rhombus in which diagonals AC and BD are 8 cm and 6 cm respectively. Diagonals intersect each other at O. <img src="https://balti.afterboards.in/XTIG6g0XvIug6ek" width="300px"/>

Area of rhombus ABCD is :

$96 \text{ cm}^2$

$48 \text{ cm}^2$

$24 \text{ cm}^2$

$36 \text{ cm}^2$

Correct Answer

Option 3

Correct Answer

Explanation

Q29:

23 Aug Shift 1

Geometry > Quadrilaterals

Easy

If length of diagonal of a square is $7\sqrt{2}$ m. The area of the square is

46 m$^2$

49 m$^2$

39 m$^2$

48 m$^2$

Correct Answer

Option 2

Correct Answer

Explanation

Q30:

23 Aug Shift 1

Geometry > Quadrilaterals

Medium

Find the largest size of a bamboo that can be placed in a square of area 333 m$^2$?

13 m

$13\sqrt{2}$ m

26 m

$26\sqrt{2}$ m

Correct Answer

Option 3

Correct Answer

Explanation

Q31:

20 Aug Shift 1

Geometry > Quadrilaterals

Easy

If each side of a square is increased by 20%. Find the percentage increase in its area.

20 %

25 %

36 %

44 %

Correct Answer

Option 4

Correct Answer

Explanation

Q32:

17 Aug Shift 1

Geometry > Quadrilaterals

Medium

In parallelogram ABCD, angle A is greater than angle B by 10$\degree$, then measure of angle D is

95$\degree$

75$\degree$

85$\degree$

65$\degree$

Correct Answer

Option 3

Correct Answer

Explanation

Q33:

17 Aug Shift 1

Geometry > Quadrilaterals

Easy

If the length of diagonals of a rhombus are 10 cm and 24 cm then the side of the rhombus is.

26 cm

24 cm

13 cm

12 cm

Correct Answer

Option 3

Correct Answer

Explanation

Q34:

17 Aug Shift 1

Geometry > Quadrilaterals

Easy

Direction: In the given figure ABCD is a square and radius of semi circle is 7 cm. <img src="https://balti.afterboards.in/qvPNhl3acHc8Y4O" width="300px"/> On the basis of the above information answer the question from 55 to 57.

The side of the square is

$\frac{7}{2}$ cm

7 cm

14 cm

12 cm

Correct Answer

Option 3

Correct Answer

Explanation

Q35:

8 Aug Shift 1

Geometry > Quadrilaterals

Easy

The ratio of the sides of the squares in the given figure is <img src="https://balti.afterboards.in/IBReONtx0ExC1l9" width="400px"/>

13 : 4

1 : 4

4 : 3

10 : 4

Correct Answer

Option 2

Correct Answer

Explanation

Q36:

8 Aug Shift 1

Geometry > Quadrilaterals

Medium

'AC' is 23 cm in the adjoining figure. Consider the figure and answer the questions.<img src="https://balti.afterboards.in/RL0Whk7aqdN5otq" width="300px"/>

The area of DGFE is

133 cm$^2$

140 cm$^2$

70 cm$^2$

66.5 cm$^2$

Correct Answer

Option 4

Correct Answer

Explanation

Q37:

6 Aug Shift 1

Geometry > Quadrilaterals

Easy

If two adjacent angles of a parallelogram are $(2x + 30)^\circ$ and $(3x - 15)^\circ$. Then the value of x is:

36

39

33

35

Correct Answer

Option 3

Correct Answer

Explanation

Q38:

6 Aug Shift 1

Geometry > Quadrilaterals

Easy

If lengths of two diagonals of rectangle are $(2x - 3)$ cm and $(x + 2)$ cm, then the value of x is:

1

5

$\frac{5}{2}$

$\frac{5}{3}$

Correct Answer

Option 2

Correct Answer

Explanation

Q39:

6 Aug Shift 1

Geometry > Quadrilaterals

Easy

If a square has a diagonal of length $6\sqrt{2}$ cm, then the area of square is:

48 cm$^2$

72 cm$^2$

16 cm$^2$

36 cm$^2$

Correct Answer

Option 4

Correct Answer

Explanation

Q40:

6 Aug Shift 1

Geometry > Quadrilaterals

Easy

Please read the following carefully and answer the Questions: In the given figure ABCD is square and OE = 7 cm. <img src="https://balti.afterboards.in/wZp3tenUx3XrD4k" width="400px"/>

Length of diagonal of the square is:

$14\sqrt{2}$ cm

$7\sqrt{2}$ cm

14 cm

7 cm

Correct Answer

Option 1

Correct Answer

Explanation

CUET General Test Geometry > QuadrilateralsFree, no login required.

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