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RRB NTPC Geometry and Trigonometry — practice questions

Explore 94 free Geometry and Trigonometry questions in RRB NTPC Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Geometry and Trigonometry questions and exercises with answers

Showing questions 1–30 of 94.

In the relation C = pi x d for a circle, d stands for theRead the answer and worked solution →In a right triangle with legs a and b, the hypotenuse squared equalsRead the answer and worked solution →A triangle whose three sides all differ in length is known as which type?Read the answer and worked solution →A triangle with one angle larger than 90 degrees is called what?Read the answer and worked solution →Two angles of a triangle measure 48 and 67 degrees. What is the third angle?Read the answer and worked solution →Each interior angle of an equilateral triangle measures how many degrees?Read the answer and worked solution →Two interior angles of a triangle are 40° and 70°. What is the exterior angle at the third vertex?Read the answer and worked solution →The three medians of a triangle meet at which point?Read the answer and worked solution →Which centre of a triangle is also the centre of its inscribed circle?Read the answer and worked solution →Which point of a triangle lies equally far from all three vertices?Read the answer and worked solution →Perpendiculars dropped from the vertices to opposite sides meet at which point?Read the answer and worked solution →The largest circle lying inside a triangle and touching all three sides is called what?Read the answer and worked solution →A median of a triangle divides the triangle into two parts that have what property?Read the answer and worked solution →Three sides of one triangle equal three sides of another. Which congruence rule applies?Read the answer and worked solution →Two sides and the included angle of one triangle match those of another. Which rule applies?Read the answer and worked solution →Two angles and the side between them are equal in two triangles. Which rule applies?Read the answer and worked solution →Triangles ABC and PQR are similar with AB = 6, PQ = 9 and BC = 8. What is QR?Read the answer and worked solution →Which statement about two triangles is always true?Read the answer and worked solution →Two triangles have two pairs of equal angles. They must be what?Read the answer and worked solution →The angles of a triangle are in the ratio 2:3:4. What is the largest angle?Read the answer and worked solution →An isosceles triangle has an apex angle of 40°. What is each base angle?Read the answer and worked solution →The legs of a right triangle are 6 cm and 8 cm. What is the hypotenuse?Read the answer and worked solution →A right triangle has hypotenuse 13 cm and one leg 5 cm. What is the other leg?Read the answer and worked solution →Which set of three numbers can be the sides of a right triangle?Read the answer and worked solution →How long is the second leg of a right triangle whose hypotenuse is 25 cm and first leg is 7 cm?Read the answer and worked solution →What is the diagonal of a square whose side is 10 cm?Read the answer and worked solution →A rectangle measures 15 m by 20 m. What is the length of its diagonal?Read the answer and worked solution →The law of cosines reduces to the Pythagorean theorem when the included angle is what?Read the answer and worked solution →What is the altitude of an equilateral triangle with side 12 cm?Read the answer and worked solution →How far is the point (6, 8) from the origin on a coordinate plane?Read the answer and worked solution →

Worked practice questions

In the relation C = pi x d for a circle, d stands for the

  1. the arc length
  2. the length
  3. the diameter
  4. the radius
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Correct answer: C. the diameter

The relation connects circumference C with diameter d.

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In a right triangle with legs a and b, the hypotenuse squared equals

  1. a^2 + b^2
  2. (a + b)^2
  3. a + b
  4. 2ab
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Correct answer: A. a^2 + b^2

Pythagoras' law says the hypotenuse squared is the sum of the squares of the legs.

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A triangle whose three sides all differ in length is known as which type?

  1. Right-angled
  2. Scalene
  3. Equilateral
  4. Isosceles
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Correct answer: B. Scalene

No two sides match in length, which is the scalene case.

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