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Of the students in a college, it is known that 60% reside in hostel and 40% day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain ‘A’ grade and 20% of day cholars attain ‘A’ grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an ‘A’ grade, what is the probability that the student is a hosteler?

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Of the students in a college, it is known that 60% reside in hostel and 40% are day scholars (not residing in hostel). Previous year results report that 30% of all students who reside in hostel attain A grade and 20% of day scholars attain A grade in their annual examination. At the end of the year, one student is chosen at random from the college and he has an A grade, what is the probability that the student is a hostlier?

Of the students in a college, it is known that 60% reside in a hostel and 40% do not reside in hostel. Previous year results report that 30% of students residing in hostel attain A grade and 20% of one’s not residing in hostel attain A grade in their annual examination. At the end of the year, one students is chosen at random from the college and he has an A grade. What is the probability that the selected student is a hosteller?

Of the students in a school, it is known that 30% have 100% attendance and 70% students are irregular. Previous year results report that 70% of all students who have 100% attendance attain A grade and 10% irregular students attain A grade in their annual examination. At the end of the year, one student is chosen at random from the school and he was found to have an A grade. What is the probability that the student has 100% attendance ? Is regularity required only in school ? Justify your answer.

In a certain college,4% of boys and 1% of girls are taller than 1.75 metres.Furthermore,60% of the students in the college are girls.A student is selected at random from the college and is found to be taller than 1.75 metres. Find the probability that the selected student is a girl.

In a college, 25% of the boys and 10% of the girls offer mathematics. The girls constitute 60% of the total number of strudents. If a student is selected at random and is found to be studying Mathematics. The probability that the student is a girl is

240 students reside in a hostel. Out of which 50% go for the yoga classes early in the morning, 25% go for the Gym club and 15% of them go for the morning walk. Rest of the students have joined the laughing club. What is the probability of students who have joined laughing club?

XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If x=asint\ and y=a(cost+logtant/2) , find (d^2\ y)/(dx^2)

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  2. A manufacturer produces nuts and bolts. It takes 1 hour of work on ...

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  3. Of the students in a college, it is known that 60% reside in hostel...

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  4. Using the method of integration, find the area of the region bounde...

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  5. Using properties of determinants, prove that |(b+c,q+r,y+z),(c+a,r+p,z...

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  6. Find the equation of the plane determined by the points A(3, –1, 2)...

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  7. Let A=R-{3} and B=R-[1]dot Consider the function f: AvecB defined by f...

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  8. Show that the height of a closed right circular cylinder of given s...

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  9. If [(9,-1,4),(-2,1,3)]=A+[(1,2,-1),(0,4,9)], then find the matrix A.

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  10. If |(x+1,x-1),(x-3,x+2)|=|(4,-1),(1,3)|, then write the value of x .

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  11. If vec a=x hat i+2 hat j-\ z hat k and vec b=3 hat i-\ y hat j+ hat ...

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  12. Write the degree of the differential equation x^3((d^2y)/(dx^2))^2+x\ ...

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  13. Prove the following: tan^(-1)x+tan^(-1)((2x)/(1-x^2))=tan^(-1)((3x-x^3...

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  14. Find the value of a if [(a-b,2a+c),(2a-b,c+d)]=[(-1,5),(0,13)]

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  15. Prove the following: "cos"{tan^(-1){sin(cot^(-1)x)}}= sqrt((1+x^2)/(...

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  16. Find the Cartesian equation of the line which passes through the po...

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  17. If a unit vector vec a makes angles pi/3 with hat i ,pi/4 with hat ...

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  18. Find | vec x| , if for a unit vector vec a ,\ ( vec x- vec a)*( vec ...

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  19. Find the length of the perpendicular drawn from the origin to the p...

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  20. Find the vector equation of the plane passing through three points ...

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