Area Calculation - Online Quiz
Following quiz provides Multiple Choice Questions (MCQs) related to Area Calculation. You will have to read all the given answers and click over the correct answer. If you are not sure about the answer then you can check the answer using Show Answer button. You can use Next Quiz button to check new set of questions in the quiz.
Q 1 - A room is 49/4 m long and 7 m wide. The greatest length of a square tile to fill the floor of the room with entire number of tiles ought to be.
Answer : B
Explanation
L=1225 cm and b= 700 cm Maximum length of the square tile= H.C.F of (1225cm, 700cm) =175 cm
Q 2 - The edge of a rectangle and a square are 160m each. The range of the rectangle is not exactly that of the square by 100sq. meters. The length of the rectangle is:
Answer : C
Explanation
Each side of the square= 160/4m = 40m 2(L+b) =160 ⇒ (L+b) = 80 (40) 2-Lb= 100 ⇒ lb= (1600-100) = 1500 (L-b) 2= (L+b) 2- 4Lb= (80) 2-4*1500= (6400-6000) =400⇒L-b=20 ∴L+b= 80, L-b= 20 ⇒ 2L=100 ⇒ L= 50 m
Q 3 - The region of a square is 1/2 hectare. The length of its slanting is:
Answer : B
Explanation
area = (1/2*10000)m2= 5000m2 1/2*(diagonal) 2= 5000 ⇒ d2= 10000⇒d= √10000= 100m ∴ Length of diagonal = 100m
Q 4 - A Verandah 40m long and 15 m wide is to be cleared with stones every measuring 6dm by 5dm. The quantity of stones required is:
Answer : B
Explanation
Area of the verandah= (40*15)m2= 600m2 Area of one stone= (6/10*5/10) m2= 3/10m2 No. of stones = (600*10/3) = 2000
Q 5 - The area of the largest circle that can be drawn insight rectangle with sides 8m by 7m is:
Answer : B
Explanation
Radius of the circle= 7/2 m Area of the circle = (22/7 *7/2 *7/2) m2 =77/2m2
Q 6 - Each side of an equilateral triangle measures 8 cm. Its area is:
Answer : B
Explanation
Area =( √3/4*8*8 ) cm2 = 16√3 cm2
Q 7 - The areas of two similar triangles are 12 cm2 and 48 cm2 .If the height of the smaller one is 2.1 cm, then the corresponding height of the bigger one is:
Answer : B
Explanation
The areas of two similar triangles are in the ratio of the square of the corresponding sides. ∴12/48= (2.1)2/h2 ⇒h2=4* (2.1)2 ⇒h= (2* 2.1) = 4.2 cm
Q 8 - The territory of the biggest triangle that can be engraved in a crescent of range r cm is:
Answer : B
Explanation
Area of the largest triangle= (1/2*2r*r) cm2=r2 cm2.
Q 9 - The slanting of a square is 20 m. The territory of the square is:
Answer : C
Explanation
Area =1/2*(diagonal)2=(1/2*20*20)m2=200m2
Q 10 - The distinction between the radii of the smaller circle and the greater circle is 7cm and the contrast between the territories of the two circles is 1078 cm2. Span of the littler circle is:
Answer : B
Explanation
Let the radii of the inner and outer circle be r and R cm. Then, R-r= 7 and π (R2-r2) = 1078 ∴ Π (R2-r2)/ (R-r) = 1078/7 ⇒R+r = (1078/7*7/22) =49 On solving (R-r) =7 and (R+r) = 49, we get r= 21 cm
