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Geometry Questions

Practice 334 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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334
Total Questions
🟢
22
Easy
🟡
305
Medium
🔴
7
Hard
Practice by Exam:Quantitative Aptitude(236)Mathematics(37)Mathematics and Science(15)Reasoning(10)General Intelligence and Reasoning(10)Chemistry(8)General Intelligence & Reasoning(5)Logical Reasoning(3)

About Geometry — practice questions, PYQs & concepts

Geometry is a frequently-tested topic on Quantitative Aptitude, Mathematics, Mathematics and Science. ExamTest.live currently lists 334 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 (236), Mathematics (37), Mathematics and Science (15), Reasoning (10) and General Intelligence and Reasoning (10). Click any exam chip above to drill down to that exam-specific question set.

How to use this page

  • Start easy: 22 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 334)

4 pages
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Q1mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
23% accuracy
In , and are produced to points and , respectively. If the bisectors of and meet at point , so that , then find the measure of .
Q2mediummcqQuantitative AptitudeSSC Selection Post 2021 Matriculation Level2026
10% accuracy
Let and . If , and , then (in ) is equal to:
Q3mediummcqQuantitative AptitudeCompetitive Exam2026
13% accuracy
Which of the following is NOT a criterion of congruent triangles?
Q4mediummcqQuantitative AptitudeCompetitive Exam2026
20% accuracy
Select the correct statement about the properties of a triangle.
Q5mediummcqMathematicsMathematics Mock Test - 102026
0% accuracy
The triangle formed by the points and is:
Q6mediummcqQuantitative AptitudeStaff Selection Commission2026
0% accuracy
Find the sum of interior angles of a decagon?
Q7mediummcqQuantitative AptitudeStaff Selection Commission2026
20% accuracy
△ABC is similar to △DEF. Length of AB is 12cm and length of the corresponding side DE is 8cm. What is the ratio of Perimeter of △ABC : Perimeter of △DEF?
Q8mediummcqQuantitative 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
)?
Q9mediummcqLogical ReasoningCompetitive Exam2026
0% accuracy
How many squares can you count in the given figure?

image
Q10mediummcqQuantitative 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:
Q11mediummcqQuantitative 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 ___________.
Q12easymcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
The longest chord of a circle is equal to:
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?
Q14mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The diagonal of a square equals the side of an equilateral triangle. If the area of the square is 12 sq cm, what is the area of the equilateral triangle?
Q15mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If three angles of a triangle are (18x+6
∘
), (10x+30
∘
) and (15x+15
∘
), then the triangle is:
Q16mediummcqQuantitative 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?
Q17mediummcqMathematicsCompetitive 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.
Q18mediummcqQuantitative AptitudeSSC CGL2026
33% accuracy
Find the ratio of the curved surface area to the total surface area of a cylinder with diameter of base 14 cm and height 10 cm.
Q19easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
A student wants to know the area of a rhombus, one of whose diagonals is 6 cm. He measures another diagonal as 8 cm. What is the area of the rhombus?
Q20easymcqQuantitative 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:
Q21mediummcqQuantitative 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?
Q22mediummcqGeneral Intelligence & ReasoningIndian Competitive Exam Prep2026
0% accuracy
Select the shape which is different from the rest:
Q23mediummcqReasoningCompetitive Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
image
Q24mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
In an isosceles trapezium, which of the following statements is true?
Q25mediummcqQuantitative 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:
Q26mediummcqQuantitative AptitudeWest Bengal Civil Services2026
0% accuracy
A quadrant of a circle contains a shaded region formed by a circular arc and its bounding radii. What is the ratio of the perimeter of this shaded quadrant region to the total circumference of the original circle?

image
Q27easymcqQuantitative AptitudeSSC CGL2026
0% accuracy
In an isosceles △LMN, LM=LN, and ∠MLN=37
∘
. Find ∠MNL.
Q28hardmcqQuantitative 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?
Q29mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the sum of the measures of all the interior angles of a polygon is 1800
∘
, find the number of sides of the polygon.
Q30mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Line segment AB is parallel to line segment CD. AD intersects BC in E. If lengths of AE, BC and ED are 18cm, 13.6cm and 6cm, what is the length of EC?
Q31mediummcqGeneral IntelligenceWBCS Prelims2026
0% accuracy
By how many straight lines is the figure formed? (Note: This refers to a standard geometry counting problem where a standard matrix/grid or nested star configuration containing 17 lines is analyzed.)

image
Q32mediummcqQuantitative 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?
Q33mediummcqReasoningCompetitive Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
Q34mediummcqGeneral Intelligence and ReasoningGovernment Recruitment Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
Q35mediummcqGeneral 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।
Q36mediummcqQuantitative 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:
Q37mediummcqQuantitative 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?
Q38mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If the tangent to the curve at a point is parallel to the line joining and , then:
Q39mediummcqReasoningCompetitive Exam Practice Paper2026
0% accuracy
Find the number of triangles in the figure.
Q40mediummcqMathematicsMathematics Mock Test - 52026
0% accuracy
The normal to the curve at the point where the curve intersects the -axis passes through the point:
Q41hardmcqQuantitative 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?
Q42mediummcqMental AbilityCompetitive Exam Practice Paper2026
0% accuracy
Find the odd one out:
Q43mediummcqQuantitative 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:
Q44mediummcqMathematicsMathematics Mock Test - 52026
50% accuracy
If the lines given by and are parallel, then the value of is:
Q45mediummcqMathematicsAIEEE 20062026
0% accuracy
If falls inside the angle made by the lines and , then belongs to:
Q46mediummcqQuantitative AptitudePrepp2026
0% accuracy
The base of a parallelogram is twice its height. If the area of the parallelogram is , then find its height (in ).
Q47mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
In , is the internal bisector of , which meets side at . If and , then what is the ratio ?
Q48mediummcqQuantitative 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 )?
Q49mediummcqMathematicsAIEEE 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:
Q50mediummcqQuantitative 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 )
Q51mediummcqMathematicsStaff Selection Commission2026
0% accuracy
If the radius of a circle is increased by 15%, its area increases by ____.
Q52mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
What is the measure of an exterior angle of a regular dodecagon?
Q53mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The perimeter and the length of one of the diagonals of a rhombus are and respectively. Find the length of its other diagonal (in ).
Q54mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the measure of the interior angle of a regular polygon is 108
∘
greater than the measure of its exterior angle then how many sides does it have?
Q55mediummcqMathematicsStaff Selection Commission2026
0% accuracy
Curved surface area of a cylinder is 528sq cm. If the circumference of its base is 44cm, find the height of the cylinder.
Q56mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the side of an equilateral triangle is equal to , calculate the length (in ) of , where is the centroid of the triangle.
Q57mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The length and breadth of a rectangle are 21 cm and 20 cm respectively. What must be the length of its diagonal (in cm)?
Q58mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
What will be the value of the angle (in degrees) subtended by the chord in the minor segment of the circle, if the length of a chord is equal to the radius of the circle?
Q59mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
In , , , and the bisectors of and meet at . Find .
Q60mediummcqQuantitative AptitudePrepp2026
0% accuracy
If the radius of a sphere is , then find the volume of the sphere.
Q61mediummcqQuantitative AptitudePrepp2026
0% accuracy
Tangents and are drawn from an external point to a circle with center . If , then find .
Q62mediummcqQuantitative AptitudeSSC CPO 20242026
0% accuracy
What is the total surface area of a cone whose radius is and slant height is ?
Q63mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
The area of an equilateral triangle is . Find the height of the triangle.
Q64mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
What is the length of the side of an equilateral triangle, if its area is ?
Q65mediummcqQuantitative 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 )
Q66mediummcqMathematicsStaff Selection Commission2026
0% accuracy
In △DEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2cm, find the length of DF.
Q67mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The area of a triangle whose sides are , , and is:
Q68mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
Two triangles and are similar whose perimeters are and , respectively. If the length of is , then what is the length (in ) of ?
Q69mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
△GHI is similar to △KLM. If the ratio of Perimeter of △GHI:Perimeter of △KLM=9:4 and the length of GH is 27cm, what is the length of the corresponding side KL?
Q70mediummcqMathematicsStaff Selection Commission2026
0% accuracy
In a right-angled triangle, the length of the side opposite the right angle is 9
3

​
cm. What is the length of the side opposite to the angle which measures 30
∘
?
Q71mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find the volume (in cm
3
) of a sphere of diameter 21 cm.
Q72mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If a triangle has its orthocenter and centroid at the same point, then which of the following is TRUE about the triangle?
Q73mediummcqReasoningCompetitive Exam2026
0% accuracy
Find out the related word to complete the analogy.
Q74mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
If the length of the three sides of a triangle is 5 cm, 12 cm and 13 cm respectively, then calculate the length (in cm) of the median of side AC of the given triangle.
Q75mediummcqQuantitative Aptitude@NUM: 63SSC CGL2026
0% accuracy
In , and are points on side and respectively. is parallel to . If divides in the ratio and length of is , what is the length of ?
Q76mediummcqChemistryNEET (UG) 20172026
0% accuracy
Which of the following pairs of compounds is isoelectronic and isostructural?
Q77mediummcqQuantitative 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?
Q78mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
and are on a common base , with and . Which of the following options is true?

image
Q79mediummcqQuantitative AptitudeSSC CGL2026
0% accuracy
Find the length of the arc whose central angle is and the radius of the circle is .
Q80mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
In , and are points on the sides and , respectively, such that is similar to . If , then find .
Q81mediummcqQuantitative 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:
Q82mediummcqReasoningPractice 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. .
Q83mediummcqQuantitative 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:
Q84mediummcqQuantitative 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?
Q85mediummcqQuantitative 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?
Q86mediummcqQuantitative Aptitude@NUM: 62SSC CGL2026
0% accuracy
A circle is inscribed in a square. If the length of the diagonal of the square is , what is the area (in sq cm) of the circle?
Q87mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
Calculate the area of a rectangle whose length is and width is .
Q88mediummcqQuantitative AptitudeCompetitive Exam Practice2026
0% accuracy
A rhombus has a perimeter of . Find the length of each side of the rhombus.
Q89mediummcqQuantitative 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?
Q90mediummcqReasoningMock Test2026
0% accuracy
How many triangles are there in the given figure?

image
Q91mediummcqChemistryNEET (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
Q92mediummcqMathematicsMathematics Mock Test - 92026
0% accuracy
The vectors and are the sides of a triangle . The length of the median through is:
Q93mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
If is the mid-point of the side of , and the area of is , then the area of is:
Q94mediummcqMathematicsAIEEE 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:
Q95mediummcqMathematicsCompetitive Exam2026
100% accuracy
The ratio of the radii of two circles is . What is the ratio of their areas?
Q96mediummcqQuantitative 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?
Q97mediummcqQuantitative AptitudeCompetitive Exam2026
0% accuracy
The diagonal of a cubical block of wood is
192

​
cm. Find its volume.
Q98mediummcqQuantitative 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.
Q99mediummcqChemistryNEET (UG) 20172026
0% accuracy
Pick out the correct statement with respect to :
Q100mediummcqMathematicsAIEEE 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:
1234

Frequently Asked Questions

How many Geometry questions are on ExamTest.live?▼
We have 334 Geometry questions spread across 4 pages, covering easy, medium, and hard difficulty levels with detailed explanations.
Are Geometry MCQs free?▼
Yes. All Geometry questions, answers, and explanations on ExamTest.live are completely free. No account or subscription required.
Which exams include Geometry questions?▼
Geometry questions are commonly asked in Quantitative Aptitude, Mathematics, Mathematics and Science, Reasoning, General Intelligence and 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.