# Areas Quiz Set 002

### Question 1

The length and breadth of a rectangle are respectively increased by 4% and 1%. What is the % increase in the area?

A

\$5{1/25}\$%.

B

\$6{7/24}\$%.

C

\$3{20/27}\$%.

D

\$7{4/9}\$%.

Soln.
Ans: a

If x% and y% is the increase in the dimensions, then the area of a rectangle increases by \$(x + y + {xy}/100)\$% = \$(4 + 1 + {4 × 1}/100)\$% = \${126/25}\$, which is same as: \$5{1/25}\$%

### Question 2

A rectangular wire 22 × 18 is re-aligned into a rectangle 11 × 54. What is the percentage increase in area?

A

50 %.

B

52 %.

C

48 %.

D

54 %.

Soln.
Ans: a

By inspection, the length has been halved, and breadth tripled. The %-age increase is known through shortcut formulas to be 50%. So the increase is 50%.

### Question 3

What is the area of the largest circle that can fit completely inside a square of side 14 meters?

A

49π sq. m.

B

98π sq. m.

C

2401π sq. m.

D

24.5π sq. m.

Soln.
Ans: a

The radius of such a circle is 14/2 = 7 m. So its area = π × 7 × 7 = 49π sq. m.

### Question 4

Two concentric circles of radii 19 and 11 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

240π sq. cm.

B

480π sq. m.

C

57600π sq. m.

D

120π sq. m.

Soln.
Ans: a

The required area is difference of the areas of the two circles. π(\$19^2 - 11^2\$) = 240π sq. cm.

### Question 5

Three squares have their sides such that they are in an AP(Arithmetic Progression). If the side of the middle square is 18, what is the area of the square whose side is equal to the sum of the sides of these three squares?

A

2916 sq. units.

B

2920 sq. units.

C

2912 sq. units.

D

2924 sq. units.

Soln.
Ans: a

Let the sides of the three squares be 18 - d, 18 and 18 + d, where d is the common difference. The sum of these is 54, and the area would be \$54^2\$ = 2916 sq. units.

This Blog Post/Article "Areas Quiz Set 002" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
Updated on 2017-05-17.

Posted by Parveen(Hoven),
Aptitude Trainer