Areas Quiz Set 018

Question 1

The diagonal and one side of a rectangle are 17 m and 15 m. What is the percentage saving of a man who walks along the diagonal instead of the two sides?

A

\$26{2/23}\$%.

B

\$28{7/22}\$%.

C

\$23{2/25}\$%.

D

\$26{19/25}\$%.

Soln.
Ans: a

The side = \$√{17^2 - 15^2}\$ = \$√{289 - 225}\$ = 8. So the saving = (15 + 8) - 17 = 6 meters. So the %-age saving is \$6/23\$ × 100 = \${600/23}\$, which is same as: \$26{2/23}\$%.

Question 2

What is the cost of plastering, @50 paise per square meter, the walls and floor of a 12 m × 2 m. tank that is 22 meters high?

A

Rs. 320 .

B

Rs. 322 .

C

Rs. 318 .

D

Rs. 324 .

Soln.
Ans: a

The area to be plastered is \$(2 × l × h) + (2 × b × h) + (l × b)\$ = (2 × 12 × 22) + (2 × 2 × 22) + (12 × 2) = 640 sq. m. The cost = 640 × 0.50 = Rs. 320.

Question 3

The length and breadth of a rectangle are in the ratio 19 : 7. What is the perimeter if the area is 2128 sq. meters?

A

208 meters.

B

210 meters.

C

206 meters.

D

212 meters.

Soln.
Ans: a

Let L = 19x and B = 7x. We are given (19x × 7x) = 2128, which gives x = 4. So perimeter = 2 × ((19 × 4) + (7 × 4)) × = 208 meters.

Question 4

Two concentric circles of radii 11 and 4 cm are drawn on a paper. What is the area of the portion that is inside the outer circle but outside the inner circle?

A

105π sq. cm.

B

210π sq. m.

C

11025π sq. m.

D

52π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π(\$11^2 - 4^2\$) = 105π sq. cm.

Question 5

What is the ratio of the perimeter of a circle of radius 38 units to that of a square having the circle's diameter as its side?

A

π : 4.

B

π : 2.

C

38 : 3.

D

38 : π.

Soln.
Ans: a

Let X be the radius of the circle, so the side of the square is 2X. The ratio of the perimeters = \${2 × π × X}/{4 × (2X)}\$ = π/4. This Blog Post/Article "Areas Quiz Set 018" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2019-08-18.