CUET UG 2022 — Geometry

Area of the figure is.

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

The area of DGFE is

The ratio of the sides of the squares in the given figure is 

Area of triangle AFC is.

The angles of a triangle are $3x^\circ$, $(2x+60)^\circ$ and $(5x-40)^\circ$. Then the value of x is:

If the edge of a cube is 15 cm, then the volume of a cube is :

Length of diagonal of the square is:

A right angle triangle is rotated along the base. If the perpendicular, hypotenuse and base of the triangle are 8 cm, 10 cm and 6 cm respectively. Find the volume of the cone formed through rotation. ($\pi = 3.14$)

In the figure AOB is a straight line then the value of x is 

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

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

Area of rhombus ABCD is :

Find the area of the largest circle that can be drawn inside a rectangle with sides 8 m $\times$ 9 m.

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

The area of triangle ABF is.

The perimeter of the following figure is : 

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

The perimeter of the figure is:

Match List I with List II | | List-I | | List-II | |---|---|---|---| | A. |  | I. | $\pi r^2$ | | B. |  | II. | $\frac{1}{2} \times$ base $\times$ height | | C. |  | III. | $\frac{1}{2} \times d_1 \times d_2$ | | D. | | IV. | $\frac{1}{2} \times (a+b) \times h$ | Choose the correct answer from the options given below:

The total area of figure is

The perimeter of the figure is.

The side of the square is

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

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

Area of $\triangle$OBC is :

If each side of a cube is reduced by 50%, the surface area will reduced by.

The altitude drown to the base of an isosceles triangle is 16 cm and it's perimeter is 64 cm what is the area of triangle?

Area covered by the figure is:

The angle of depression of a point situated at a distance 500 m from the base of tower is $45°$. The height of tower is _____.

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

The diameter of a circle whose area is numerically 110 more than its circumference is

If the height of tree is $3\sqrt{3}$ meters and length of its shadow is 3 meters. Find the angle of elevation of the sun.

The volume of cylinder is

If the volume of a cube is 27 cm^3, then the diagonal of cube is

The radius of the cylinder is-

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

If the outer surface area of cylinder is pointed @ Rs 0.5/cm^2, then the total cost of painting is

In the given figure l||m||n, the value of x is

The area of $\triangle$DBC if DB is a straight line

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

In a swimming pool measuring 80 m x 60 m, 120 men take a dip. If the average displacement of water by a man is 6 m$^3$, then the rise in water level is -

The value of x in the given figure is : 

Charge of cellophane paper is Rs. 40 per kg. How must expenditure would be there to cover a cube of edge 25 cm with a cellophane paper, if one kg of paper covers 50 sq.cm. area?

A volume of a wall is 128 cm$^3$. If the height of the wall is 6 times its breadth and the length is 9 times its breadth, find the breadth.

The area of Trapezum DGCE is.

The angle of depression of a point situated at a distance 100 m from the base of a pole is 30 degrees. Find height of the pole is-

In the given figure ABCD is a rhombus, the value of x is. 

Side of the rhombus is :