Recent puzzles under tag geometry

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Which of the following figures has the greatest area shaded in grey?

posted Aug 12, 2018 by anonymous

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What is the % of the area of the blue region as compare to the whole?

posted Aug 10, 2018 by anonymous

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See the following triangle and tell what should be the length of KN?

posted Jul 28, 2018 by anonymous

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What is the largest possible area of rectangle inscribed in a Isosceles obtuse triangle if the sides are 10, 10 and 12?

posted Jul 18, 2018 by anonymous

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What is the ratio of blue area to the grey area in the following image?

posted Jul 14, 2018 by anonymous

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Three unit squares and two lines are shown. What is the area of triangle ABC?

posted Jul 12, 2018 by anonymous

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What is the length of AG where G is the centroid of triangle ABC?

posted Jul 8, 2018 by anonymous

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A light ray emitted from a vertex of this isosceles triangle reflects 6 times before reaching another vertex...

posted Jul 8, 2018 by anonymous

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What is the ratio of the area of big pentagon and small pentagon in the following image?

posted Jul 5, 2018 by anonymous

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Using points, straight lines, and parabola, construct a piecewise function whose graph looks like a smiling face

posted Jul 4, 2018 by anonymous

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E is a point inside triangle ABC such that AE=BE=BC and Angle ABE = Angle CBE = 20. Find the measure of Angle CAE?

posted Jun 26, 2018 by anonymous

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An acute triangle has a circumcircle, as shown in image. Minor arcs are reflected about each side of the triangle....

posted Jun 26, 2018 by anonymous

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A clock is started at noon. By 20 minutes past 4, the hour hand has turned through how many degrees?

posted Jun 19, 2018 by anonymous

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What is the ratio of the blue shaded area to the orange shaded area in the following image?

posted Jun 18, 2018 by anonymous

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What is the measure of angle X in degrees?

posted Jun 16, 2018 by anonymous

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A triangle has consecutive side and height lengths for some integer n, as shown in image. What is its perimeter?

posted Jun 14, 2018 by anonymous

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P is a point inside triangle ABC. Lines are drawn through P parallel to the sides of the triangle....

posted Jun 7, 2018 by anonymous

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White square is inscribed in a blue circle, which is inscribed in larger orange square. Which is larger, orange or blue?

posted Jun 1, 2018 by anonymous

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Trapezoid as shown has two parallel sides with length 5 and 15 & two diagonals with length 12 and 16. What is its area?

posted May 28, 2018 by anonymous

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A circle of radius 1 is tangent to the parabola y=x^2 as shown. Find the gray area between the circle and the parabola?

posted May 25, 2018 by anonymous

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As shown, a rectangle is partitioned into four triangles. Areas of two right triangles are 30 and 50....

posted May 24, 2018 by Rahul Chandel

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Find the minimum surface area for a polycube composed of 2000 unit cubes?

posted May 17, 2018 by anonymous

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What is the area of the blue region in the following image where all the numbered quadrilateral are square?

posted May 17, 2018 by Atif

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What is the maximum volume of a cone inscribed in a sphere of radius 6?

posted May 10, 2018 by anonymous

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Four right triangles with distinct integer hypotenuses are put together to form a quadrilateral, as shown in image...

posted May 9, 2018 by Upma

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A unit circle is divided into 12 congruent regions, as shown. What is the perimeter of one of these regions?

posted May 8, 2018 by anonymous

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Unit sphere is on a flat plane in rain. What is the length of largest cube that can hide underneath it and not get wet?

posted May 3, 2018 by anonymous

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Blue figure is made of five quarter-circle arcs (integer radius) and a segment of length 4, what is area of blue shade?

posted Apr 25, 2018 by anonymous

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The red region in the diagram is enclosed by 4 quarter-circles. What is its area?

posted Apr 22, 2018 by anonymous

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What shape are the 20 faces of a icosahedron?

posted Apr 14, 2018 by Pardeep Kohli

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If the radius of the circular sector is 100 units in the given image then what is the side length of the square ?

posted Apr 7, 2018 by anonymous

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A line makes angles A, B, C, D with four diagonals of a cube, then find value of Cos^2 A + Cos^2 B + Cos^2 C + Cos^2 D

posted Apr 7, 2018 by anonymous

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How many minimum cuts are required to cut a cube in 125 smaller cubes?

posted Apr 1, 2018 by anonymous

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In triangle ABC, reflection of triangle ABC's incenter over its side AB is its circumcenter. Find angle C in degrees?

posted Mar 27, 2018 by anonymous

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Determine the number of triangles in a 15-gon?

posted Mar 22, 2018 by anonymous

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Quadrilateral ABCD has following properties: Angle B and D are each right angle, AB and BC has the same length 1 unit..

posted Mar 20, 2018 by anonymous

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A star in a square: What is the sum of the areas of the yellow regions?

posted Mar 20, 2018 by anonymous

+1 vote

How many hole/holes does a normal drinking straw have? [MCQ]

posted Mar 14, 2018 by Tejas Naik

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If width is increased by 1m and length is decreased by 2m then area of the new rectangle is 4 sq.m less than original...

posted Mar 8, 2018 by anonymous

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In the image below, can you find the the value of an angle(y)

posted Feb 28, 2018 by Aastha Joshi

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Given that length of longest diagonal of a cube is 9 cm. Find the volume of the cube?

posted Feb 15, 2018 by anonymous

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What is an open plane curve formed by the intersection of a cone with a plane parallel to its side, resembling..........

posted Jan 31, 2018 by Ujjwal Mehra

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What is the maximum number of sides a regular polygon can have such that its interior angles (in degrees) are integers?

posted Jan 30, 2018 by anonymous

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In a billiard table shaped like a right isosceles triangle as in the diagram, a ball struck at marked vertex...

posted Jan 18, 2018 by anonymous

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I have 3 unit circles. Two of them are externally tangent to each other. The third one passes through tangent point...

posted Jan 17, 2018 by anonymous

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Find the value of x in the given triangle?

posted Jan 9, 2018 by anonymous

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3 identical 30°, 60°, 90° right triangles are arranged as shown in figure. What is the ratio between greed and red line?

posted Jan 3, 2018 by anonymous

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If one angle of a parallelogram is 24° less than twice the smallest angle, what is the largest angle?

posted Dec 28, 2017 by anonymous

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What percentage of the square's area is colored blue? [MCQ]

posted Dec 15, 2017 by anonymous

+1 vote

Sides of a triangle are in the ratio 3:4:5. If R denotes circumradius and r denotes inradius then find R/r?

posted Dec 11, 2017 by anonymous