The number of students in two sections, A and B having different heights is shown in the following Table . The ratio of the number of students of a particular height in Section A to that in Section B is the maximum for the height of

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Q: 138 (IAS/1997)
The number of students in two sections, A and B having different heights is shown in the following Table . The ratio of the number of students of a particular height in Section A to that in Section B is the maximum for the height of
Height in min Section Ain Section B
1.55322
1.676
1.621214
1.651514
1.6889
1.7165
1.7534

question_subject: 

Maths

question_exam: 

IAS

stats: 

0,3,3,3,1,0,2

keywords: 

{'particular height': [0, 1, 0, 0], 'ratio': [1, 0, 1, 12], 'different heights': [0, 1, 0, 1], 'height': [0, 0, 1, 2], 'students': [0, 1, 1, 1], 'table': [0, 0, 1, 0], 'sections': [0, 1, 1, 3], 'maximum': [1, 2, 1, 2], 'number': [0, 0, 0, 2]}

Answer: The question is asking for which height the ratio of students from Section A to Section B is the maximum. To find this, we have to calculate the ratio of the number of students of each height.

In option 1, the height is 1.55 m. The ratio of the number of students at this height in Section A to Section B is 32:2 or 16:1 which is the highest among all. Thus, this is the correct answer.

For option 2, the height is 1.60 m, and the ratio is 7:6, or approximately 1.17:1. This is lower than the ratio in option 1.

In option 3, the height is 1.65 m, and the ratio is 15:14, which simplifies to approximately 1.07:1. Again, this is lower than option 1.

Option 4 corresponds to a height of 1.71 m, the ratio is 6:5, or 1.2:1, which is also less than what is found in option 1.

Therefore, the highest ratio of the number of students from Section A to Section B is for the height of 1.55m giving option

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