What type of Geometry questions are asked in CAT 2025?

In CAT 2025, Geometry questions usually come from triangles, circles, quadrilaterals, polygons, mensuration, and coordinate geometry.

How many Geometry questions are asked in CAT Quant?

You can expect around 3–5 Geometry questions in the Quant section of CAT. Since they carry good weight, practicing them is very important.

What are the most important Geometry formulas for CAT 2025?

Some must-know formulas are Pythagoras theorem, area of triangles, circle theorems, polygon angle sums, and mensuration of 3D shapes. You can also download the CAT Geometry Formula PDF from Cracku for revision.

Can I solve Geometry questions using shortcuts?

Yes, using shortcuts like triangle similarity, symmetry, and simple properties helps in solving Geometry questions quickly in CAT.

What are the common mistakes students make in CAT Geometry?

Common errors include making unclear diagrams, mixing up circle rules, ignoring triangle inequality, and using the wrong formula.

How should I practice Geometry for CAT 2025?

The best way is to solve past CAT papers, attempt mock tests, and revise formulas often. You can practice Geometry questions on Cracku to improve speed.

Where can I get a Geometry formulas PDF for CAT 2025?

You can easily download the CAT Geometry Formulas PDF and practice sets from Cracku to revise important concepts before the exam.

Is Geometry a tough topic in CAT Quant?

Geometry may seem tricky if your basics are weak, but with clear concepts, formula practice, and solving Cracku’s question sets, it becomes a scoring topic.

Most Important Geometry Questions for CAT 2025, Check Now

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Geometry Questions For CAT 2025

Geometry is an important topic in the CAT Quant section. In CAT 2025, geometry questions will check how well you understand basic rules, how accurately you can draw or imagine shapes, and how smartly you can use formulas.

This blog includes the most common types of geometry questions, key formulas, frequent mistakes to avoid, and practice questions to help you improve and score better.

CAT Geometry Questions PDF

Important Formulas for CAT Geometry Questions

If you're getting ready for Geometry questions in CAT 2025, learning some key formulas can make solving questions much easier and faster. We've also added a PDF with all the important Geometry formulas that you can download and use for quick revision anytime.

Topic	Concept	Formula
Triangles	Sum of angles	180∘180^\circ180∘
	Pythagoras Theorem	a2+b2=c2a^2 + b^2 = c^2a2+b2=c2
	Basic Area	12×base×height\frac{1}{2} \times \text{base} \times \text{height}21×base×height
	Heron’s Area Formula	s(s−a)(s−b)(s−c)\sqrt{s(s-a)(s-b)(s-c)}s(s−a)(s−b)(s−c), s=a+b+c2s = \frac{a+b+c}{2}s=2a+b+c
	Law of Sines	asin⁡A=bsin⁡B=csin⁡C\frac{a}{\sin A} = \frac{b}{\sin B} = \frac{c}{\sin C}sinAa=sinBb=sinCc
	Law of Cosines	c2=a2+b2−2abcos⁡Cc^2 = a^2 + b^2 - 2ab \cos Cc2=a2+b2−2abcosC
	Area with 2 sides & included angle	12absin⁡C\frac{1}{2} ab \sin C21absinC
	Angle Bisector Theorem	Divides opposite side in ratio of adjacent sides
	Centroid division	Divides median in ratio 2:1 from vertex
Circles	Circumference	2πr2\pi r2πr
	Area	πr2\pi r^2πr2
	Arc Length	θ360×2πr\frac{\theta}{360} \times 2\pi r360θ×2πr
	Sector Area	θ360×πr2\frac{\theta}{360} \times \pi r^2360θ×πr2
	Segment Area	Sector Area − Triangle Area
	Equal tangents	Tangents from same external point are equal
	Angle at center	2×2 \times2× angle at circumference
	Cyclic Quadrilateral	Opposite angles sum to 180∘180^\circ180∘
Polygons & Quadrilaterals	Interior angle sum (n-gon)	(n−2)×180∘(n - 2) \times 180^\circ(n−2)×180∘
	Each interior angle (regular polygon)	(n−2)×180∘n\frac{(n - 2) \times 180^\circ}{n}n(n−2)×180∘
	Exterior angles sum	360∘360^\circ360∘
	Diagonals in n-gon	n(n−3)2\frac{n(n - 3)}{2}2n(n−3)
	Parallelogram Area	b×hb \times hb×h
	Trapezium Area	12×(a+b)×h\frac{1}{2} \times (a + b) \times h21×(a+b)×h
	Rhombus Area	12×d1×d2\frac{1}{2} \times d_1 \times d_221×d1×d2
	Square Area	a2a^2a2
	Rectangle Area	l×bl \times bl×b
Coordinate Geometry	Distance	(x2−x1)2+(y2−y1)2\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}(x2−x1)2+(y2−y1)2
	Midpoint	(x1+x22,y1+y22)\left(\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}\right)(2x1+x2,2y1+y2)
	Slope	y2−y1x2−x1\frac{y_2 - y_1}{x_2 - x_1}x2−x1y2−y1
	Line equation (point-slope)	y−y1=m(x−x1)y - y_1 = m(x - x_1)y−y1=m(x−x1)
	Line equation (two-point)	y−y1=y2−y1x2−x1(x−x1)y - y_1 = \frac{y_2 - y_1}{x_2 - x_1}(x - x_1)y−y1=x2−x1y2−y1(x−x1)
	Circle equation	(x−h)2+(y−k)2=r2(x - h)^2 + (y - k)^2 = r^2(x−h)2+(y−k)2=r2
	Area of triangle	(\frac{1}{2}
3D Mensuration	Cube Volume	a3a^3a3
	Cube Surface Area	6a26a^26a2
	Cuboid Volume	l×b×hl \times b \times hl×b×h
	Cuboid Surface Area	2(lb+bh+hl)2(lb + bh + hl)2(lb+bh+hl)
	Sphere Volume	43πr3\frac{4}{3} \pi r^334πr3
	Sphere Surface Area	4πr24\pi r^24πr2
	Hemisphere Volume	23πr3\frac{2}{3} \pi r^332πr3
	Hemisphere Surface Area	3πr23\pi r^23πr2 (total), 2πr22\pi r^22πr2 (curved)
	Cylinder Volume	πr2h\pi r^2 hπr2h
	Cylinder Surface Area	2πr(h+r)2\pi r(h + r)2πr(h+r)
	Cone Volume	13πr2h\frac{1}{3} \pi r^2 h31πr2h
	Cone Surface Area	πr(l+r)\pi r(l + r)πr(l+r), where l=r2+h2l = \sqrt{r^2 + h^2}l=r2+h2

Common Mistakes to Avoid in Geometry Questions

Avoiding common mistakes can help you solve geometry questions more accurately:

Poor diagrams: Not drawing clean or labeled diagrams, or missing important marks like right angles or parallel lines.
Not checking feasibility: Forgetting to see if a shape is even possible (like not checking the triangle inequality).
Confusing circle rules: Mixing up angles at the center with angles on the edge of the circle.
Sign or slope mistakes: Making errors with signs or slopes in coordinate geometry, or mixing up the points.
Ignoring key properties: Missing special features like symmetry in regular shapes or angle rules in cyclic quadrilaterals.
Not checking your answer: Forgetting to check if your final answer makes sense — like a negative length or incorrect area.
Using complex methods: Trying difficult formulas when a simple trick like splitting the shape or using symmetry could work better.

List Of CAT Geometry Questions

Question 1

Let the consecutive vertices of a square S be A,B,C &D.; Let E,F & G be the mid-points of the sides AB, BC & AD respectively of the square. Then the ratio of the area of the quadrilateral EFDG to that of the square S is nearest to

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Question 2

Two identical circles intersect so that their centres, and the points at which they intersect, form a square of side 1 cm. The area in sq. cm of the portion that is common to the two circles is

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Question 3

In the given diagram, ABCD is a rectangle with AE = EF = FB. What is the ratio of the areas of CEF and that of the rectangle?

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Question 4

In triangleABC, ∠B is a right angle, AC = 6 cm, and D is the mid-point of AC. The length of BD is

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Question 5

Three circles, each of radius 20, have centres at P, Q and R. Further, AB = 5, CD = 10 and EF = 12. What is the perimeter of ΔPQR ?

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Question 6

Three circles of equal radii touch (but not cross) each other externally. Two other circles, X and Y, are drawn such that both touch (but not cross) each of the three previous circles. If the radius of X is more than that of Y, the ratio of the radii of X and Y is

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Instruction for set :

DIRECTIONS for the following two questions: These questions are based on the situation given below:

A rectangle PRSU, is divided into two smaller rectangles PQTU, and QRST by the line TQ. PQ=10cm, QR = 5 cm and RS = 10 cm. Points A, B, F are within rectangle PQTU, and points C, D, E are within the rectangle QRST. The closest pair of points among the pairs (A, C), (A, D), (A, E), (F, C), (F, D), (F, E), (B, C), (B, D), (B, E) are $$10 \sqrt{3}$$ cm apart.

Question 7

Which of the following statements is necessarily true?

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Question 8

ABCD is a trapezium in which AB is parallel to CD. The sides AD and BC when extended, intersect at point E. If AB = 2 cm, CD = 1 cm, and perimeter of ABCD is 6 cm, then the perimeter, in cm, of $$\triangle AEB$$ is

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CAT Previous Papers PDF

Question 9

A circle with radius 2 is placed against a right angle. Another smaller circle is also placed as shown in the adjoining figure. What is the radius of the smaller circle?

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Question 10

On a semicircle with diameter AD, chord BC is parallel to the diameter. Further; AD and BC are separated by 2cm, while AD has length 8. What is the length of BC?

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Question 11

A right circular cone, of height 12 ft, stands on its base which has diameter 8 ft. The tip of the cone is cut off with a plane which is parallel to the base and 9 ft from the base. With $$\pi$$ = 22/7, the volume, in cubic ft, of the remaining part of the cone is

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