CAT Exam Model Paper 2 with solutions for free online practice

Question : 93 of 100

Marks: +1, -0

A blacksmith has a rectangular iron sheet 10 ft long. He has to cut out 7 circular discs from this sheet. What is the minimum possible width of the iron sheet if the radius of each disc is 1 ft?

$2√3$ ft
$( 2 + √ { 3 } ) { \ft }$
$(3+√2)$ ft
$( 2 + 2√ { 3 } ) { \ft }$

Validate

Solution:

(b) From the sheet of 10 ft long, (b) From the sheet of 10 ft long, maximum

10/2

= 5 circular discs can be cut along the length of the iron sheet.

C M =√ { A C ^ { 2 } - A M ^ { 2 } } = √{ 4 x ^ { 2 } - x ^ { 2 } }

C M = x √ { 3 } =√ { 3 } { \ft } (

Since

x = 1 { \ft } )

∴ Width of the sheet = AK + MC + CT

= 1 +√ { 3 } + 1 = ( 2 +√ { 3 } ) { \ft }

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