Question
Download Solution PDFStudy the following histogram and answer the question :
(Note : The number of lamps is a multiple of 5)
The difference between the total number of neon lamps whose life time is 400 hours or more but less than 700 hours and the total number of neon lamps whose life time is 900 hours or more is t.
The value of t lies between :
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
The histogram shows the distribution of the life time (in hours) of neon lamps. The number of lamps is a multiple of 5.
From the histogram, read the number of neon lamps for each life time interval (using the provided data):
300 - 400 hours: 25 lamps
400 - 500 hours: 40 lamps
500 - 600 hours: 45 lamps
600 - 700 hours: 60 lamps
700 - 800 hours: 50 lamps
800 - 900 hours: 75 lamps
900 - 1000 hours: 55 lamps
1000 - 1100 hours: 35 lamps
1100 - 1200 hours: 20 lamps
Calculation:
Calculate the total number of neon lamps whose life time is 400 hours or more but less than 700 hours.
This includes lamps in the intervals 400-500, 500-600, and 600-700 hours.
Number of lamps (400 to < 700 hours) = 40 + 45 + 60 = 145
Calculate the total number of neon lamps whose life time is 900 hours or more.
This includes lamps in the intervals 900-1000, 1000-1100, and 1100-1200 hours.
Number of lamps (>= 900 hours) = 55 + 35 + 20 = 110
The difference (t) between these two totals is:
t = (Number of lamps 400 to < 700 hours) - (Number of lamps >= 900 hours)
t = 145 - 110
t = 35
∴ The correct answer is option 3.
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