Multiple choice

Three colours of chart papers: green, red and blue have to arranged in such a way that all the chart papers are stored colourwise and height of each bundle is the same. The number of green chart papers is 96, of red chart papers is 240 and of blue chart papers is 336. Thickness of each chart paper is the same. Determine the number of bundles of green, red and blue, respectively.

  1. 35, 14, 10

  2. 48, 48, 48

  3. 2, 5, 7

  4. 32, 80, 112
Reveal answer Fill a bubble to check yourself
C Correct answer
Explanation

In order to arrange chart papers as required we have to find
 
the largest number that divides 96,240 and 336.Clearly such
number is their H.C. F.
96  = 2 x 2 x 2 x 2 x 2 x 3
 
240 = 2 x 2 x 2 x 2 x 3 x 5
 
336 = 2 x 2 x 2 x 2 x 3 x 7
 
H.C.F. = 2 x 2 x 2 x 2 x 3 = 48
 
 
Hence there must be 48 chart papers in each bundle
 
 Number of green chart paper bundles = 96/48 = 2

Number of red chart paper bundles = 240/48 = 5 Number of blue chart paper bundles = 336/48 = 7

 

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