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Geometry Questions

Practice 183 Geometry questions with detailed answers and explanations. Free MCQs, PYQs, and mock test questions for NEET, JEE, GATE, SSC and more.

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183
Total Questions
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19
Easy
🟡
158
Medium
🔴
6
Hard
Practice by Exam:Quantitative Aptitude(112)Mathematics(26)Mathematics and Science(15)Chemistry(8)Reasoning(8)General Intelligence and Reasoning(8)Reasoning Ability(2)General Aptitude(1)

About Geometry — practice questions, PYQs & concepts

Geometry is a frequently-tested topic on Quantitative Aptitude, Mathematics, Mathematics and Science. ExamTest.live currently lists 183 Geometry questions spanning previous-year papers from 2017 to 2026, each with worked solutions and a step-by-step explanation. Use the filters on this page to focus on a specific exam, difficulty level or year — every answer key is free, no sign-up required.

Geometry weight in competitive exams

Across our Geometry question bank, the largest sources are Quantitative Aptitude (112), Mathematics (26), Mathematics and Science (15), Chemistry (8) and Reasoning (8). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 19 easy Geometry questions are available — build fluency before moving up.
  • Target weak years: Use the year filter to focus on the most recent 2026 paper or older PYQs you have not attempted.
  • Time yourself: Every question shows the average solve time so you can benchmark your speed against other students.
  • Read every explanation: Even on questions you got right — the explanation often surfaces a faster approach you can reuse.

All Geometry Questions(1–100 of 183)

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Q1mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
10% accuracy
Let and . If , and , then (in ) is equal to:
Q2mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
25% accuracy
In , and are produced to points and , respectively. If the bisectors of and meet at point , so that , then find the measure of .
Q3mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The triangle formed by the points and is:
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Which of the following is NOT a criterion of congruent triangles?
Q5mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Select the correct statement about the properties of a triangle.
Q6mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If three angles of a triangle are (18x+6
∘
), (10x+30
∘
) and (15x+15
∘
), then the triangle is:
Q7mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The sides of a right-angled triangle, right-angled at B, are 6, 8 and 10 units. C is the vertex opposite to the side with length 8 units. What is the value of tan
2
A+cos
2
C?
Q8easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The longest chord of a circle is equal to:
Q9mediummcqLogical ReasoningCompetitive Exam2026
0% accuracy
How many squares can you count in the given figure?

image
Q10mediummcqQuantitative AptitudeCompetitive Exam2026
33% accuracy
A clock shows the time as . What is the angle between the hour and the minute hand?
Q11mediummcqQuantitative AptitudeCompetitive Exam 20262026
33% accuracy
△XYZ is an isosceles triangle such that XY=XZ. It is given that YS⊥XZ and ZT⊥XY. What is the relation between YS and ZT?
Q12mediummcqQuantitative AptitudeCompetitive Exam 20262026
0% accuracy
The lengths of the three sides of a triangle are given as 3cm, 4cm and 5cm. The ratio of their corresponding altitudes to the opposite vertices will be:
Q13easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The internal angle bisectors BI and CI of ∠B and ∠C of a ΔABC meet at point I. If ∠A=38
∘
, then what is ∠BIC equal to?
Q14easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
△PQR and △ABC are two congruent triangles. If the area of △PQR is 225cm
2
, then the area of △ABC is:
Q15mediummcqQuantitative AptitudeCompetitive Exam 20262026
33% accuracy
The difference between the total surface area and lateral surface area of a cube, if side of the cube is 11cm (in square cm), is ___________.
Q16mediummcqReasoningCompetitive Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
image
Q17mediummcqReasoningCompetitive Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
Q18mediummcqReasoningCompetitive Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
Q19hardmcqQuantitative AptitudeCompetitive Exam Practice Paper2026
0% accuracy
If you have a regular icosahedron and you slice it along a plane that intersects six of its faces, what is the shape of the resulting cross-section?
Q20mediummcqGeneral Intelligence and ReasoningGovernment Recruitment Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
Q21hardmcqQuantitative AptitudeGovernment Recruitment Exam Practice Paper2026
0% accuracy
A cylinder is intersected by a plane inclined at an angle of to its axis. What is the shape of the resulting cross-section?
Q22mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
3 सेमी ऊंचा ई और 5 सेमी त्रि ज्या वा ले एक बेलना का र सतह को चा रों ओर सेलो टेप लगा ना है। यदि सेलो टेप की चौ ड़ा ई 8 सेमी है तब बेलन को एकबा र लपेटने के लि ए सेलो टेप की न्यूनतम लंबा ई क्या है?
Q23mediummcqQuantitative AptitudeSSC Selection Post 2018 Higher Secondary Level2026
0% accuracy
दो को ण सम्पूरक हैं और 2 : 3 के अनुपा त में हैं। एक बड़े को ण का मा न क्या है?
Q24mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A hollow copper pipe is 22cm long and its external diameter is 28cm. If the thickness of the pipe is 3cm and iron weighs 8.5g/cm
3
, then the weight of the pipe is closest to:
Q25mediummcqGeneral IntelligenceSSC Selection Post 2018 Higher Secondary Level2026
50% accuracy
दि ए गये चा र शब्दों में से ती न शब्द कि सी प्रका र से एकसमा न हैं, जबकि चौ था शब्द भि न्न है, भि न्न शब्द को ज्ञा त की जि ये।
Q26mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A right triangle with sides 5cm,12cm and 13cm is rotated about the side 12cm to form a cone. The volume of the cone so formed is:
Q27mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If the tangent to the curve at a point is parallel to the line joining and , then:
Q28mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
The normal to the curve at the point where the curve intersects the -axis passes through the point:
Q29mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The slant height of a right circular cone is 15m and its height is 9m. The area of its curved surface is:
Q30mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If the lines given by and are parallel, then the value of is:
Q31mediummcqMathematicsAIEEE 20062026
0% accuracy
If falls inside the angle made by the lines and , then belongs to:
Q32mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
What is the total surface area of a cone whose radius is and slant height is ?
Q33mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
In , is the internal bisector of , which meets side at . If and , then what is the ratio ?
Q34mediummcqMathematicsAIEEE 20062026
0% accuracy
is a triangle, right-angled at . The resultant of the forces acting along and with magnitudes and respectively is a force along , where is the foot of the perpendicular from onto . The magnitude of the resultant is:
Q35mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
In , is a point on such that and is parallel to (where lies on ). If and are perpendicular to and , then what is the length of (in )?
Q36mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
How many meters of cloth will be required to make a conical tent whose base radius is and height is ? The width of the cloth is . (Take )
Q37mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If V and S denote the volume and Total Surface Area of a cuboid (of sides a,b,c), respectively, then which of the following is true?
Q38mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
and are on a common base , with and . Which of the following options is true?

image
Q39mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
In , , , and the bisectors of and meet at . Find .
Q40mediummcqQuantitative AptitudePrepp2026
0% accuracy
If the radius of a sphere is , then find the volume of the sphere.
Q41mediummcqQuantitative AptitudePrepp2026
0% accuracy
Tangents and are drawn from an external point to a circle with center . If , then find .
Q42mediummcqQuantitative AptitudePrepp2026
0% accuracy
The length of a chord subtended by an arc of a circle is equal to the radius of the circle. If the radius of the circle is , then find the length of the arc (in units). (Take )
Q43mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A circle and a rectangle have the same perimeter. If the sides of the rectangle are 15cm and 7cm, then the area of circle is:
Q44mediummcqMathematicsCompetitive Exam Practice2026
0% accuracy
Which of the following statements is correct?The angle between two tangents to a circle may be .If a transversal intersects two lines such that a pair of alternate interior angles is equal, then the two lines are parallel.The tangents at the end points of a diameter of a circle are perpendicular.
Q45mediummcqQuantitative AptitudePrepp2026
0% accuracy
The base of a parallelogram is twice its height. If the area of the parallelogram is , then find its height (in ).
Q46mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
A 70cm wide path is made around a circular garden having a diameter of 14 metres. What is the area of the path (in m
2
)?
Q47mediummcqChemistryNEET (UG) 20172026
0% accuracy
Which of the following pairs of compounds is isoelectronic and isostructural?
Q48mediummcqReasoningCompetitive Exam2026
0% accuracy
Find out the related word to complete the analogy.
Q49mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
What is the shape of the cross-section, when a cone is cut by a plane parallel to its slant height?
Q50mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
In , and are points on the sides and , respectively, such that is similar to . If , then find .
Q51mediummcqReasoningPractice Paper2026
0% accuracy
A question and a set of statements are given. Find which of the given statements is/are sufficient to answer the question.
Question: Find and .
Statements:
I. and .

image

II. .
Q52mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If is the mid-point of the side of , and the area of is , then the area of is:
Q53mediummcqReasoningMock Test2026
0% accuracy
How many triangles are there in the given figure?

image
Q54mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Calculate the area of a rectangle whose length is and width is .
Q55mediummcqQuantitative AptitudeSSC Selection Post 20212026
0% accuracy
A field is in the shape of a rhombus. Its perimeter is 584 m and the length of one of its diagonals is 220 m. What is the area (in m
2
) of the field?
Q56mediummcqChemistryNEET (UG) 20172026
0% accuracy
Match the interhalogen compounds of column I with the geometry in column II:Column I: (a) (b) (c) (d) Column II: (i) T-shape (ii) Pentagonal bipyramidal (iii) Linear (iv) Square-pyramidal
Q57mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
In ΔABC, AB=20 cm, BC=7 cm and AC=15 cm. Side BC is produced to D such that ΔDAB∼ΔDCA. The length of CD is:
Q58mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A rhombus has a perimeter of . Find the length of each side of the rhombus.
Q59mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
The vectors and are the sides of a triangle . The length of the median through is:
Q60mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The length of cold storage of cuboidal shape is double its breadth and its height is half of its breadth. If its volume is 216m
3
, then what are the dimensions of the cold storage?
Q61mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The lateral surface area of a cylinder is 3862.2cm
2
and its height is 15cm. Find its volume (take π=3.14) correct to one decimal place.
Q62mediummcqMathematicsAIEEE 20062026
0% accuracy
A triangular park is enclosed on two sides by a fence and on the third side by a straight river bank. The two sides having fence are of same length . The maximum area enclosed by the park is:
Q63mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
In ΔPQR, ∠Q=90
∘
. PQ=8 cm and PR=17 cm. If the bisector of ∠P meets QR at S, then what is the length (in cm) of SR?
Q64mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The diagonal of a cubical block of wood is
192

​
cm. Find its volume.
Q65mediummcqChemistryNEET (UG) 20172026
0% accuracy
Pick out the correct statement with respect to :
Q66mediummcqMathematicsAIEEE 20062026
0% accuracy
The values of for which the points with position vectors , and respectively are the vertices of a right-angled triangle with are:
Q67mediummcqQuantitative AptitudePrepp2026
In , is the internal bisector of , meeting the side at . If and , then the ratio is:
Q68mediummcqQuantitative AptitudePrepp2026
The base of a parallelogram is twice its height. If the area of the parallelogram is , then find its height (in ).
Q69mediummcqQuantitative AptitudePrepp2026
What is the total surface area of a cone whose radius is and slant height is ?
Q70mediummcqGeneral Intelligence & ReasoningCompetitive Exam2026
If you have a regular pentagonal prism and you slice it parallel to its bases, what shape is the cross-section?
Q71easymcqQuantitative AptitudeSSC CGL2026
In an isosceles △LMN, LM=LN, and ∠MLN=37
∘
. Find ∠MNL.
Q72mediummcqChemistryNEET (UG) 20182026
The geometry and magnetic behaviour of the complex are:
Q73mediummcqReasoningCompetitive Exam2026
Determine the number of pentagons in the following figure.
image
Q74mediummcqQuantitative AptitudeAdda2472026
When a cone is sliced by a plane parallel to its base, but not passing through its apex, what is the shape of the resulting cross-section?
Q75mediummcqGeneral Intelligence and ReasoningCompetitive Exam2026
image
Count the number of triangles in the given figure.
Q76mediummcqQuantitative AptitudeCompetitive Exam2026
The ratio of length and breadth of a rectangle is and its perimeter is . What is the length of its diagonal (in cm)?
Q77easymcqQuantitative AptitudeCompetitive Exam2026
If the surface areas of two spheres are in the ratio of 9: 49, then the ratio of their volumes is:
Q78mediummcqMathematicsAIEEE2026
For a regular polygon, let and be the radii of the inscribed and the circumscribed circles. A false statement among the following is:
Q79hardmcqGeneral Intelligence and ReasoningCompetitive Exam2026
How many rectangles are there in the given figure?

image
Q80mediummcqQuantitative AptitudeCompetitive Exam2026
Three solid iron cubes of edges 8 cm, 10 cm and 12 cm are melted together to make a new cube. It is observed that 496 cm³ of the melted material is lost due to improper handling. The area (in cm²) of the whole surface of the newly formed cube is:
Q81mediummcqQuantitative AptitudeCompetitive Exam2026
Find the area of a right angle whose base is 15 cm and hypotenuse is 17 cm.
Q82easymcqQuantitative AptitudeCompetitive Exam2026
What is the area of a triangle with base and height ?
Q83mediummcqQuantitative AptitudeCompetitive Exam2026
If the angles of a triangle are in the ratio of 9:11:16, then the difference between the greatest angle and the smallest angle is:
Q84mediummcqChemistryNEET 20172026
Which of the following pairs of compounds is isoelectronic and isostructural?
Q85mediummcqChemistryNEET 20212026
Match List-I with List-II:
image
Q86mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The lines and intersect the line at and respectively. The bisector of the acute angle between and intersect at .Statement-1 : The ratio equals .Statement-2 : In any triangle, bisector of an angle divides the opposite side in the ratio of the sides containing the angle.
Q87mediummcqQuantitative AptitudeCompetitive Exam2026
In △ABC and △PQR, AB=7m, BC=8m, AC=9m, PQ=7m, QR=8m and PR=9m. Which of the following is true for these triangles?
Q88mediummcqQuantitative AptitudeStaff Selection Commission2026
In a parallelogram ABCD, if vertices are in respective order and diagonals AC and BD intersect at O, then which of the following is NOT always correct?
Q89hardmcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
If the angle between the line and the plane is , then equals:
Q90mediummcqQuantitative AptitudeStaff Selection Commission2026
△ABC is inscribed in a circle with centre O. If AB=35 cm, BC=12 cm and AC=37 cm, then what is the circumradius of the triangle?
Q91mediummcqMathematicsAIEEE-CBSE-ENG-032026
The sum of the radii of inscribed and circumscribed circles for an -sided regular polygon of side , is:
Q92mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
Equation of the ellipse whose axes are the axes of coordinates and which passes through the point and has eccentricity is:
Q93mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
The two circles and () touch each other if:
Q94mediummcqQuantitative AptitudePrepp2026
The volume of a cube is four times the volume of a cuboid. If the sides of the cuboid are , and , then find the ratio of the total surface area of the cube to that of the cuboid.
Q95mediummcqQuantitative AptitudePrepp2026
Find the area of a minor sector of a circle whose circumference is and the length of its minor arc is (use ).
Q96mediummcqQuantitative AptitudePrepp2026
What is the length of the arc of a circle whose radius is and whose arc subtends an angle of at the centre of the circle?
Q97mediummcqQuantitative AptitudePrepp2026
The volumes of two spheres are in the ratio of . The ratio of their surface areas is:
Q98mediummcqMathematicsAIEEE-CBSE-ENG-032026
Let and be two roots of the equation , being complex. Further, assume that the origin, and form an equilateral triangle, then:
Q99mediummcqMathematicsFIITJEE AIEEE 2011 (Set Q)2026
Statement-1 : The point is the mirror image of the point in the line .Statement-2 : The line bisects the line segment joining and .
Q100mediummcqQuantitative AptitudePrepp2026
Two circles with centers and have radii and , respectively. is tangent to both circles. If and intersect at the point , and , then find the value of (in ).
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How many Geometry questions are on ExamTest.live?▼
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Geometry questions are commonly asked in Quantitative Aptitude, Mathematics, Mathematics and Science, Chemistry, Reasoning. You can filter by exam using the links above.
How do I practice Geometry questions effectively?▼
Start with easy questions to build confidence, then tackle medium and hard ones. Use the filter buttons to sort by difficulty. Reveal the answer only after attempting each question, and read the explanation thoroughly.