A91 cm-long wire is cut into two pieces so that one piece length is three-fourth of the other. Find the length of the shorter piece.

The diagonal of a quadrilateral is 32 m long, and its two offsets are 6 m and 10 m long. The area of the quadrilateral is

A triangle has sides of length 5 cm, 7 cm and 10 cm. Find the area of the triangle (in cm²).

The total surface area of a cylinder of diameter 10 cm is 330 square centimeters. Find the height of the cylinder?

How many spherical solid marbles, each having a radius of 0.3 cm, can be made from a solid sphere having a radius of 6 cm?

Find the number of sides in a regular polygon if its each interior angle is 160°.

The parallel sides of a trapezium and its height are in an arithmetic progression with a common difference of 4. If the height is the highest term and the area of the trapezium is 160 sq. units, find the ratio of length of greatest parallel side to that of the smallest parallel side.

If each interior angle of a regular polygon is 135°, then the number of sides that polygon has is:

The diagonal and one side of a rectangular plot are 65 m and 63 m, respectively. What is the perimeter of the rectangular plot?

If two parallel lines are intersected by a transversal, then which of the options below is not necessarily correct?

Find the area of a triangle whose sides are 12 m, 14 m and 16 m.

The area (in square units) of the quadrilateral ABCD, formed by the vertices A (0, -2), B (2, 1), C (0, 4), and D (-2, 1) is:

Find the amount of water contained in a cylindrical tank of radius 7 m and height 20 m. It is known that the tank is completely filled.

In ΔABC, if ∠A = 40° and ∠B = 70°, find the measure of exterior angle at A.

If the perimeter of one face of a cube is 24 cm, then its volume is:

Find the area of polygon ABCDE (in square cm) if AE = 20 cm and AB = 15 cm; quadrilateral BCDE is a square.

Find the circumference (in m) of the largest circle that can be inscribed in a rectangle whose dimensions are given as 21 m and 115 m. take π=22/7

Find the total surface area of a hollow hemispherical bowl of diameter 14 cm and negligible thickness.

What is the area included between a circle and an inscribed square of side 'a' units?

The length of a rectangle is halved, and its breadth is tripled. What is the percentage change in its area?

Find the area of a square inscribed in a circle of radius 8 cm.

ചിത്രത്തിൽ കാണുന്ന സമചതുരത്തിന്റെയും മട്ടത്രികോണത്തിന്റെയും പരപ്പളവുകൾ തുല്യമാണെങ്കിൽ 'x' എത്രയാണ് ?

വാൻ ഹേൽസിന്റെ പഠന സിദ്ധാന്തത്തിന്റെ വിവിധ ഘട്ടങ്ങളുടെ ശരിയായ ക്രമം ചുവടെ കൊടുത്തിരിക്കുന്നവയിൽ ഏതാണ് ?

ചിത്രത്തിൽ a+b=27 ആണെങ്കിൽ a-b എത്രയാണ് ?

ചിത്രത്തിൽ ABCD ഒരു സാമാന്തരികം ആണ്. <A=110° ആയാൽ <B യുടെ അളവ് എന്ത് ?

താഴെ തന്നിരിക്കുന്നവയിൽ ത്രികോണം ABC വരയ്ക്കാൻ സാധിക്കുന്നത് ഏതിലാണ് ?

തന്നിരിക്കുന്നവയിൽ ശരിയല്ലാത്തത് ഏത് ?

What is the length of the chord whose distance from the centre is 8 cm and radius is 10 cm?

If the distance between center to chord is 12 cm and the length of the chord is 10 cm, then the diameter of the circle is

If ∠BCD = 82°, then ∠BAC = ?

If the radius (r) of a circle is increased by ‘x’ units, what is the number of units by which the circumference of the circle is increased?

In the given figure, two chords PQ and RS intersects each other at A and SQ is perpendicular to RQ. If ∠PAR – ∠PSR = 30°, then find the value of ∠ASQ?

In the figure, PA is a tangent from an external point P to the circle with centre O. If ∠POB = 110°, then the measure of ∠APO is:

In a circle of centre O, PR = 3a + 5 and RQ = 5a – 5, OR = 15 units, ∠ORP = 90°. Find the radius of the circle.

If a pizza is cut into eight equal parts, then what is the angle made by each sector?

In a circle with radius 5 cm, AG and CD are two diameters perpendicular to each other. The length of chord AC is:

In the given figure, ∠BOQ = 60° and AB is diameter of the circle. Find ∠ABO.

16.3 സെന്റിമീറ്റർ വശമുള്ള ഒരു സമഭുജത്രികോണത്തിന്റെയും, 12.1 സെന്റിമീറ്റർ വശമുള്ള ഒരു സമചതുരത്തിന്റെയും ചുറ്റളവുകൾ തമ്മിലുള്ള വ്യത്യാസം എത്ര ?

A cylinder of radius 6 centimetres and height 18 centimetres is melted and recast into spheres of radius 3 centimetres. The number of spheres made from the cylinder is:

The slope of the line joining the points (3,-2) and (-7, 4) is :

In the figure PQRS is a cyclic quadrilateral. The measure of <PRQ is:

ABC is an equilateral triangle with side 6 centimetres. The sides of the triangle are tangents to the circle. The radius of the circle is:

In the figure <BAC=45°, AM=6 centimetre The area of the triangle ABC is :

In the figure ABCD is a square. The length of its diagonal is 4√2 centimetres. The area of the square is :

PQRS is a rhombus with area 24 square centimetres. One of is diagonal PR-6 centimetres. The length of PS is:

The fraction to be added to m²-5/6m +17/144 to make it a perfect square is :

A square pyramid is cut, open and laid flat as in the figure below. What is the surface area of this pyramid ?

In the trapezium ABCD, AB=3 centimetres, BD=5 centimetres, BC=6 centimetres. The area of the trapezium is: