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Direction: The following data show the percentage distribution of number of farmers who committed suicide in the year 2016 among five states. Given that the total number of farmers who committed suicide in year 2016 was 256000. Study the data carefully and answer the questions.
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Find the number of farmers who committed suicide in the state with the highest number of farmer suicides:
If a = 24, b = 26, c = 28, then the value of a2 + b2 + c2 – ab – bc – ac will be :
a2 + b2 + c2 – ab – bc – ac = 1/2[(a-b)2+(b-c)2+(a-c)2] =1/2[22 + 22 + 42] = 12
Direction: The line graph provided below gives the data of the production of sugar (in lakh tonnes) by three different companies P, Q and R over the years. Study the graph and answer the questions that follow:
In which year, the production of Company R as a percentage of the production of company Q was maximum?
The percentages of production of company R to the production of company Q for various years are:
∴ This percentage is highest for 2011
What is the largest possible value of x in 437 + 5x7 = 9y4 for which 9y4 is divisible by 3?
We know, A number is divisible by 3, if sum of digits of the number is divisible by 3.
For maximum value of x, y = 8 Given, 437 + 5x7 = 984 ⇒ 5x7 = 984 - 437 ⇒ 5x7 = 547 ⇒ x = 4
What is the difference between the compound interest on Rs 5000 for 1½ years at 4% per annum compounded yearly and half yearly?
Compound interest when compounded yearly
∴ ( 5306.04 – 5304 ) = Rs 2.04
Neha traveled 15 km by riding a bicycle, then she took an auto whose average speed was 56 km/h and thus she reached her exam center in a total of 3 hour. If the average speed of entire journey was 45 km/h. find the average speed of cycling.
If (x+y):(x-y) = 5:3 and x : (y+2) = 2:1 , then the value of x and y are respectively
Using componendo and dividendo we get
(x+y+x-y) : (x+y-x+y) = (5+3) : (5-3)
Or 2x:2y = 4
Or x:y = 4
Or 4y = x
x : (y+2) = 2:1 , put x = 4y 4y/(y+2) = 2 ; y = 2; x = 8
For which of the following years, the percentage rise/fall in production from the previous year is the maximum for company Q?
∴Percentage rise/fall in production from the previous year for company Q is :
∴ The maximum percentage rise/fall in the production of company Q is for 2012.
The average production for five years was maximum for which company?
Average production (in lakh tons) in five years for the three companies are:
∴ Average production of five years is maximum for both the companies P and R
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