Where can I find geometry aptitude questions with solutions?

ExamPrev provides comprehensive geometry aptitude questions with detailed formulas and step-by-step solutions for competitive exam preparation including GATE, CAT, SSC, and banking exams.

What are the important geometry formulas for competitive exams?

Important geometry formulas include area and perimeter of triangles, circles, rectangles, polygons, Pythagorean theorem, angle properties, similarity and congruence theorems, and coordinate geometry formulas.

How to prepare geometry for quantitative aptitude?

Prepare geometry by learning basic formulas, practicing various types of questions, understanding theorems and properties, solving previous year papers, and working through practice problems regularly.

Which exams include geometry aptitude questions?

Geometry aptitude questions appear in GATE, CAT, SSC CGL, SSC CHSL, banking exams (IBPS, SBI), railway exams, and other competitive examinations.

Basic Mathematics

Number System LCM & HCF Percentage Ratio & Proportion Average Simple Interest

Business Mathematics

Profit & Loss Compound Interest Partnership Discount Stocks & Shares Banking

Time, Work & Motion

Time & Work Pipes & Cisterns Time, Speed & Distance Trains Boats & Streams Races

Advanced Mathematics

Algebra Geometry Mensuration Trigonometry Logarithms & Indices Coordinate Geometry

Statistics & Probability

Statistics Probability Permutation Combination Set Theory Data Interpretation

Geometry Aptitude Questions & Formulas with answer

Ques 31 Gate 2018

The area of a square is ‘d’. What is the area of the circle which has the diagonal of the square as its diameter?

πd

πd²

(1/4) πd²

(1/2) πd

(Geometry) is the correct answer.

Ques 32 GATE 2017

A right-angled cone (with base radius 5 cm and height 12 cm), as shown in the figure below, is rolled on the ground keeping the point P fixed until the point Q (at the base of the cone, as shown) touches the ground again. By what angle (in radians) about P does the cone travel?

5π/12

5π/24

24π/5

10π/13

(d) is the correct answer.

Ques 33 GATE 2016 SET-2

A wire of length 340 mm is to be cut into two parts. One of the parts is to be made into a square and the other into a rectangle where sides are in the ratio of 1:2. What is the length of the side of the square (in mm) such that the combined area of the square and the rectangle is a MINIMUM?

120

180

(a) is the correct answer.

Ques 34 GATE 2015

A cube of side 3 units is formed using a set of smaller cubes of side 1 unit. Find the proportion of the number of faces of the smaller cubes visible to those which are NOT visible

1:4

1:3

1:2

2:3

Ques 35 GATE 2015

In the given figure angle Q is a right angle, PS:QS=3:1, RT:QT=5:2 and PU:UR=1:1. If area of triangle QTS is 20 cm², then the area of triangle PQR in cm² is __________.

(280) is the correct answer.

Ques 36 GATE 2015

Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and line PR is parallel to the x-axis. The x and y coordinates of P, Q, and R are to be integers that satisfy the inequalities: -4 ≤ x ≤ 5 and 6 ≤ y ≤ 16. How many different triangles could be constructed with these properties?

110

1,100

9,900

10,000

Ques 37 GATE 2014

The smallest angle of a triangle is equal to two thirds of the smallest angle of a quadrilateral. The ratio between the angles of the quadrilateral is 3:4:5:6. The largest angle of the triangle is twice its smallest angle. What is the sum, in degrees, of the second largest angle of the triangle and the largest angle of the quadrilateral?

(180) is the correct answer.