Mathematics · Quantitative Aptitude

Geometry of Triangles and Angles

758 Questions

Triangle and angle geometry covers angle sums, properties of equilateral shapes, and right triangles. These principles form the basis of advanced quantitative aptitude sections. Practicing spatial problems helps secure points in exams.

Triangle angle sumsPythagorean theoremProperties of equilateral trianglesComplementary and supplementary anglesRight triangle formulas

Geometry of Triangles and Angles Questions

Multiple choice

Where can you see the angle of bank?

  1. ASI

  2. VSI

  3. DG

  4. AI
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The attitude indicator (AI) or artificial horizon shows the aircraft's orientation relative to the earth's horizon, including both pitch (nose up/down) and bank (angle of roll) information. The instrument display directly indicates the angle of bank through the relationship between the miniature aircraft and the horizon bar. ASI shows airspeed, VSI shows vertical speed, and DG shows heading - none of these display bank angle.

Multiple choice

The ratio among the angles of a quadrilateral is 6 : 4 : 5 : 3. If the greatest angle of a triangle is 30 less than 5/6th of the greatest angle of the quadrilateral and if another angle of triangle is 3/5th of the second largest angle of the quadrilateral, then find the third angle of the triangle.

  1. 50°

  2. 40°

  3. 60°

  4. 45°

  5. None of these
Reveal answer Fill a bubble to check yourself
A Correct answer
Explanation

Largest angle of quadrilateral = (360o x 6) / 18 = 120o   Largest angle of triangle = (120o x 5) / 6 – 30o = 70o  Second largest angle of quadrilateral = (360o x 5)/18 = 100o  Second angle = (100o x 3) / 5 = 60o  Third angle of triangle = 180o - (70o + 60o) = 180o – 130o = 50o 

Multiple choice

A triangle with three unequal sides is called a/an ___________.

  1. isosceles triangle

  2. scalene triangle

  3. equilateral triangle

  4. obtuse angled triangle
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

A scalene triangle has three unequal sides and three unequal angles. An isosceles triangle has at least two equal sides. An equilateral triangle has all three sides equal. An obtuse-angled triangle has one angle greater than 90 degrees but may have equal or unequal sides.

Multiple choice

Base of triangle is called

  1. front

  2. back

  3. side

  4. None of these
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

In LOGO turtle graphics, the turtle is represented as a small triangle. The pointed tip is called the nose, and the flat base opposite the nose is referred to as the back.

Multiple choice

Lip clearance angle in a drill is at ________.

  1. 450

  2. 300

  3. 250

  4. 150
Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

The lip clearance angle of a drill bit is necessary to allow the cutting edge to penetrate the material. For standard drills, this angle is typically between 8 and 15 degrees.

Multiple choice

B.S.W. Thread has thread angle of _______.

  1. 370

  2. 450

  3. 550

  4. 600
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The British Standard Whitworth (BSW) thread is defined by a thread angle of 55 degrees, which distinguishes it from the 60-degree metric or Unified thread standards.

Multiple choice

The normal makes the angle with reflecting surface?

  1. 45°

  2. 60°

  3. 90°

  4. 75°
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

The normal is defined as a line perpendicular to the reflecting surface at the point of incidence. Therefore, the angle between the normal and the surface is always 90 degrees.