Sail E0 Webinar

Quantitative Aptitude

AREA MCQs

Areas

Total Questions : 2556 | Page 5 of 256 pages
Question 41.

  1. A rectangular cardboard is 4 cm by 2 cm. The greatest possible circle is cut off from the cardboard. What is the area of the remaining part of the cardboard?

 Discuss Question
Answer: Option A. ->
Question 42.

  1. A semicircle is constructed on each side of a square of length 2 m. The area of the whole figure will be  

 Discuss Question
Answer: Option A. ->
Question 43.

  1. The area of a circle is halved when its radius is decreased by n, its radius is equal to

  1.    \(n ( 2 - \sqrt{2})\)
  2.    \(n ( 2 +\sqrt{2})\)
  3.    \(n ( 1 - \sqrt{2})\)
  4.    none of these
 Discuss Question
Answer: Option B. -> \(n ( 2 +\sqrt{2})\)
Question 44.

  1. The area of the largest circle that can be drawn in a square of side 14 cm is

  1.    250 cm2
  2.    270 cm2
  3.    290 cm2
  4.    none of thse
 Discuss Question
Answer: Option D. -> none of thse
Question 45.

The length of a wire which is tied as a boundary of a semicircular park is 72 m.Find the radius of the semicircular park and area of the park.

  1.    13 m , 506 m2
  2.    14 m , 506 m2
  3.    12 m , 216 m2
  4.     none of these
 Discuss Question
Answer: Option D. ->  none of these
Question 46.

  1. A chord AB of a circle of radius 10 cm makes a right angle at the centre of the circle. Find the area of the major and the minor segments.

  1.    28.5 cm2 , 285.5 cm2
  2.    25.8 cm2 , 285.5 cm2
  3.    285.5 cm2 , 28.5 cm2
  4.    none of these
 Discuss Question
Answer: Option A. -> 28.5 cm2 , 285.5 cm2
Question 47.

  1. Four equal circles are described about the four comers of a square so that each touches two of the other. Find the area of the space enclosed between the circumference of the circles, each side of the square measuring 14 cm.

  1.    38 cm2
  2.    40 cm2
  3.    42 cm2
  4.    none of thes
 Discuss Question
Answer: Option C. -> 42 cm2
Question 48.

  1. An equilateral triangle has a side of 2 metres. With all the three comers as centres circles are described, each of radius 1 m. The area of the remaining portion of the triangle is (take  = 3.1416)

  1.    0.1212 m2
  2.    0.1612 m2
  3.    0.1812 m2
  4.     none of these
 Discuss Question
Answer: Option B. -> 0.1612 m2
Question 49.

  1. By how much per cent approximately is the diagonal of a square less than two of its sides combined?

  1.    21
  2.    23
  3.    27
  4.    29
 Discuss Question
Answer: Option D. -> 29
Question 50.
  1. If the area of a square increases by 96%, then the side of a square increases by

  1.    20%
  2.    30%
  3.    40%
  4.    502%
 Discuss Question
Answer: Option C. -> 40%
Let the side of the original square be 'a'. Then the area of the square is a^2.When the area of the square increases by 96%, the new area becomes (1 + 0.96) times the original area, i.e., 1.96 times the original area.
New area of square = 1.96 × (a^2) = 1.96a^2
Let the side of the new square be 'b'. Then, we have:b^2 = 1.96a^2Taking the square root of both sides, we get:b = √(1.96) × a
So, the side of the new square is 1.4 times the original side.
The percentage increase in the side of the square can be calculated as follows:
Increase in side = New side - Original side= 1.4a - a= 0.4a
Percentage increase in side = (Increase in side / Original side) × 100%= (0.4a / a) × 100%= 40%
Therefore, the side of the square increases by 40% when the area of the square increases by 96%.
Some relevant definitions and formulas used in this solution are:
  • A square is a quadrilateral with four equal sides and four right angles.
  • The area of a square is given by the formula A = side^2, where 'side' is the length of a side of the square.
  • Percentage increase = (Increase in value / Original value) × 100%
  • In this problem, we used the fact that if the area of a square is increased by a certain percentage, then the side of the square will increase by the square root of that percentage. For example, if the area is increased by 25%, then the side will increase by the square root of 25%, which is 5%.

Latest Videos
Chapter 1 - GLOBAL STEEL SCENARIO & INDIAN STEEL INDUSTRY Part 1 : (13-04-2024) INDUSTRY AND COMPANY AWARENESS (ICA)
Direction Sense Test Part 1 Reasoning (Hindi)
Chapter 1 - RMHP / OHP / OB & BP Part 1 : (14-02-2024) GPOE
Cube & Cuboid Part 1 Reasoning (Hindi)
Data Interpretation (DI) Basic Concept Reasoning (Hindi)
Counting Figures Part 1 Counting Of Straight Lines Reasoning (Hindi)
Sail E0 free webinar Webinars
Real Numbers Part 7 Class 10 Maths
Real Numbers Part 1 Class 10 Maths
Polynomials Part 1 Class 10 Maths

Latest Test Papers

Pie Chart - Test Paper 1 Data Interpretation Reasoning & DI
Tabulation - Test Paper 2 Data Interpretation Reasoning & DI
Test Paper 1 Direction Sense Test Reasoning & DI
ICA , RDIC,GFM Free Modal Test Paper - Non - Technical Branch Old Syllabus 2022 - SAIL Junior Officer E0
GFM Combined 1 Free Revision Test SAIL JO E-0