SSC CGL level Question Set 26, Mensuration

26th SSC CGL level Question Set, 1st on topic Mensuration

SSC-CGL-question-set-26-mensuration.jpg

This is the 26th question set of 10 practice problem exercise for SSC CGL exam and 1st on topic Mensuration. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set.

We will repeat here the method of taking the 10 problem test if you have not gone through it already. 

Method for taking the 10 problem test and get the best results from the test set:

  1. Before start, go through the tutorials Basic concepts on Geometry 1, Basic concepts on Geometry 2, Basic concepts on Geometry 3 or any other short but good material to refresh your concepts if you so require.
  2. Answer the questions in an undisturbed environment with no interruption, full concentration and alarm set at 15 minutes.
  3. When the time limit of 15 minutes is over, mark up to which you have answered, but go on to complete the set.
  4. At the end, refer to the answers given at the end or in the companion 10 problem solution set to mark your score at 15 minutes. For every correct answer add 1 and for every incorrect answer deduct 0.25 (or whatever is the scoring pattern in the coming test). Write your score on top of the answer sheet with date and time.
  5. Identify and analyze the problems that you couldn't do to learn how to solve those problems.
  6. Identify and analyze the problems that you solved incorrectly. Identify the reasons behind the errors. If it is because of your shortcoming in topic knowledge improve it by referring to only that part of concept from the best source you get hold of. You might google it. If it is because of your method of answering, analyze and improve those aspects specifically.
  7. Identify and analyze the problems that posed difficulties for you and delayed you. Analyze and learn how to solve the problems using basic concepts and relevant problem solving strategies and techniques.
  8. Give a gap before you take a 10 problem practice test again.

Important: both practice tests and mock tests must be timed, analyzed, improving actions taken and then repeated. With intelligent method, it is possible to reach highest excellence level in performance.

Resources that should be useful for you

You may refer to:

7 steps for sure success in SSC CGL tier 1 and tier 2 competitive tests or section on SSC CGL to access all the valuable student resources that we have created specifically for SSC CGL, but generally for any hard MCQ test.

Tutorials that you should refer to

Basic concepts on Geometry 1

Basic concepts on Geometry 2

Basic concepts on Geometry 3

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26th question set- 10 problems for SSC CGL exam: topic Mensuration - Answering time 15 mins

Problem 1.

Three circles of radii 5.5 cm, 4.5 cm and 3.5 cm touch each other externally. The perimeter of the triangle formed by joining the centres of the circles (in cm) is,

  1. $27\pi$
  2. $27$
  3. $13.5$
  4. $\pi(3.5^2 + 4.5^2 + 5.5^2)$

Problem 2.

Three circles of diameter 10 cm each are bound together by a rubber band as shown below,

SSC-CGL-question-set-26-mensuration1-q2.jpg

The length of the rubber band (in cm) in stretched condition as shown, will be,

  1. $30 + \pi$
  2. $30$
  3. $10\pi$
  4. $60 + 20\pi$

Problem 3.

A circular wire of radius 42 cm is bent in the form of a rectangle whose sides are in a ratio of 6 : 5. The smaller side of the rectangle is, (take $\pi =\frac{22}{7}$)

  1. 30 cm
  2. 60 cm
  3. 36 cm
  4. 25 cm

Problem 4.

Two equal maximum sized circular plates are cut-off from a circular paper-sheet of circumference 352 cm. The circumference of each circular plate is,

  1. 176 cm
  2. 180 cm
  3. 165 cm
  4. 150 cm

Problem 5.

If length and perimeter of a rectangle are in the ratio 5 : 16, then its length and breadth will be in the ratio,

  1. 5 : 11
  2. 5 : 4
  3. 5 : 3
  4. 5 : 8

Problem 6.

From a point in the interior of an equilateral triangle, the perpendicular distances of the sides are, $\sqrt{3}$ cm, $2\sqrt{3}$ cm and $5\sqrt{3}$ cm. The perimeter (in cm) of the triangle is,

  1. 48
  2. 64
  3. 24
  4. 32

Problem 7.

Through each vertex of a triangle, a line parallel to the opposite side is drawn. The ratio of the perimeter of the new triangle thus formed with the original triangle is,

  1. 3 : 2
  2. 4 : 1
  3. 5 : 3
  4. 2 : 1

Problem 8.

A right triangle with side lengths 3 cm, 4 cm and 5 cm is rotated about the side 3 cm as rotation axis, to form a cone. The volume of the cone so formed is,

  1. $16\pi$ cm$^3$
  2. $20\pi$ cm$^3$
  3. $15\pi$ cm$^3$
  4. $12\pi$ cm$^3$

Problem 9.

An equilateral triangle of side 6 cm has its corners cut-off to form a regular hexagon. Area (in cm$^2$) of this hexagon will be,

  1. $3\sqrt{3}$
  2. $6\sqrt{3}$
  3. $5\displaystyle\frac{\sqrt{3}}{2}$
  4. $3\sqrt{6}$

Problem 10.

The ratio of sides of a triangle is 3 : 4 : 5 and area of the triangle is 72 square units. Then the area of an equilateral triangle with same perimeter as the first triangle (in square units) is,

  1. $48\sqrt{3}$
  2. $96$
  3. $60\sqrt{3}$
  4. $32\sqrt{3}$

Now as you have finished, you may refer to the companion solution set, SSC CGL level Solution Set 26 on Mensuration for checking the answers and comparing solution processes.


Other related guideline, question set and solution set on SSC CGL mensuration

7 steps for sure success in SSC CGL tier 1 and tier 2 competitive tests or section on SSC CGL to access all the valuable student resources that we have created specifically for SSC CGL, but generally for any hard MCQ test.

Tutorials that you should refer to

Basic concepts on Geometry 1 lines points and triangles

Basic concepts on Geometry 2 quadrilaterals polygons squares

Basic and rich concepts on Geometry 3 Circles

Basic and rich Geometry concepts part 4 Arc angle subtending concept proof

Question and Solution Sets on Mensuration

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SSC CGL level Solution Set 27 on Mensuration 2

SSC CGL level Question Set 27 on Mensuration 2

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