SSC CGL level Question Set 88 Mensuration 8 | SureSolv

SSC CGL level Question Set 88 Mensuration 8

88th SSC CGL level Question Set, 8th on topic Mensuration

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This is the 88th question set of 10 practice problem exercise for SSC CGL exam and 8th on topic Mensuration. Students should complete this question set in prescribed time first and then only refer to the corresponding solution set.

This 10 problem question set can effectively be used as a mini-mock test on SSC CGL Mensuration.

After taking the test, you may refer to the detailed solutions at SSC CGL level Solution Set 88, Mensuration 8, for step by step explanation of the solutions accompanied by suitable figures. In any case, the answers to the questions are given at the end.

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

Method for taking this 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 at the end of this question 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 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

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88th question set - 10 problems for SSC CGL exam: topic Mensuration 8 - Answering time 15 mins

Problem 1.

The volume of the metal of a cylindrical pipe is 748 $\text{cm}^3$. The length of the pipe is 14 cm and its external radius is 9 cm. Its thickness is, (Take $\pi=\frac{22}{7}$)

  1. 23 cm
  2. 3.7 cm
  3. 5.2 cm
  4. 1 cm

Problem 2.

The sum of areas of two circles touching externally is $130\pi$ sq cm and the distance between their centers is 14 cm. The radius of the larger circle is, (Take $\pi=\frac{22}{7}$)

  1. 22 cm
  2. 44 cm
  3. 11 cm
  4. 33 cm

Problem 3.

The sides of a triangle are in ratio 2 : 3 : 4. The perimeter of the triangle is 18 cm. The area (in $\text{cm}^2$) of the triangle is,

  1. $9$
  2. $36$
  3. $3\sqrt{15}$
  4. $\sqrt{42}$

Problem 4.

The inradius of a triangle is 4 cm and its area is 34 sq cm. The perimeter of the triangle is,

  1. 20 cm
  2. 17 cm
  3. 34 cm
  4. 8.5 cm

Problem 5.

The sum of radii of two spheres is $10\text{ cm}$ and sum of their volumes is $880\text{ cm}^3$. What will be the product of their radii?

  1. $33\frac{1}{3}$
  2. $26\frac{1}{3}$
  3. $21$
  4. $70$

Problem 6.

If the volume of a sphere is numerically equal to its surface area, then its diameter is,

  1. 6 cm
  2. 2 cm
  3. 3 cm
  4. 4 cm

Problem 7.

In $\triangle ABC$, AD and AE are bisectors of $\angle BAC$ and $\angle BAD$ respectively. If $\angle BAE=30^0$, AE = 9 cm and EC = 15 cm, what is the area (in $\text{cm}^2$) of $\triangle AEC$.

  1. 72
  2. 54
  3. 36
  4. 216

Problem 8.

If O is the centroid and AD, BE and CF are the three medians of $\triangle ABC$ with an area of 96 sq cm, then the area of $\triangle BOD$ (in $\text{cm}^2$) is,

  1. 8
  2. 12
  3. 24
  4. 16

Problem 9.

The area and length of one of the diagonals of a rhombus are 84 sq cm and 7 cm respectively. Find the length ( in cm) of the other diagonal.

  1. 36
  2. 12
  3. 24
  4. 48

Problem 10.

The smaller diagonal of a rhombus is equal to its length of its sides. If the length of each side is 6 cm, what is the area ( in sq cm) of an equilateral triangle whose side is the larger diagonal?

  1. $27\sqrt{3}$
  2. $18\sqrt{3}$
  3. $36\sqrt{3}$
  4. $32\sqrt{3}$

Answers to the questions

Problem 1. Answer: Option d: 1 cm.

Problem 2. Answer: Option c : 11 cm.

Problem 3. Answer: Option c: $3\sqrt{15}$.

Problem 4. Answer: Option b: 17 cm.

Problem 5. Answer: Option b: $26\frac{1}{3}$.

Problem 6. Answer: Option a : 6 cm.

Problem 7. Answer: Option b: 54.

Problem 8. Answer: Option d: 16.

Problem 9. Answer: Option c: 24.

Problem 10. Answer: Option a: $27\sqrt{3}$.


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