Value Based Questions for Mathematics Class 12
Q1 Let A = Set of boys of XII Class in some school. Let a R b, if and only if a and b use unfair means in the exam, a,b A (i) Is R a transitive relation? (ii) Should a student use such means? If not why
Q2 There are two families P and Q . There are 3 men, 3 women and 12 children in family P and 2men, 2 women and 4 children in family Q. The recommended daily allowance for calories is : Man : 2400, woman : 2000, child : 1400 and man : 60g for proteins is : woman : 40g and child : 35g. (i) Represent the above information by matrices. Using matrix multiplication, calculate the total requirement of calories and proteins of each of the two families. (ii) Which family is an ideal family and why ?
Q3 Represent the following problem by a system of linear equations : Rs 154500 is the Cost of 3 cycles, 2 motorbikes and one car, the cost of one cycle, one motorbike and 2 cars is Rs 226500. The cost of 4 cycles and 3 motorbikes is Rs 81000. Use matrix to Find the cost of each . Which mode of conveyance preferred the most and why?
Q4 Two firms P and Q decided to award prizes to their employees for three values Punctuality (x), Honesty (y) and obedience (z). Firm P decided to award a total of Rs 22000 for the three values to 10,8 and 6 employees respectively, while firm Q decided to award Rs 21400 for the three values to 8,6 and 10 employees respectively. If all the three prizes together amount to Rs 2700, then (i) Represent the above situation by a matrix equation and form linear equations using matrix multiplication. (ii) Is it possible to solve the system of linear equations so obtained using matrices? (iii) Which value you prefer to be rewarded most and why?
Q5 Two schools A and B decided to award prizes to their students for the three
Q2 There are two families P and Q . There are 3 men, 3 women and 12 children in family P and 2men, 2 women and 4 children in family Q. The recommended daily allowance for calories is : Man : 2400, woman : 2000, child : 1400 and man : 60g for proteins is : woman : 40g and child : 35g. (i) Represent the above information by matrices. Using matrix multiplication, calculate the total requirement of calories and proteins of each of the two families. (ii) Which family is an ideal family and why ?
Q3 Represent the following problem by a system of linear equations : Rs 154500 is the Cost of 3 cycles, 2 motorbikes and one car, the cost of one cycle, one motorbike and 2 cars is Rs 226500. The cost of 4 cycles and 3 motorbikes is Rs 81000. Use matrix to Find the cost of each . Which mode of conveyance preferred the most and why?
Q4 Two firms P and Q decided to award prizes to their employees for three values Punctuality (x), Honesty (y) and obedience (z). Firm P decided to award a total of Rs 22000 for the three values to 10,8 and 6 employees respectively, while firm Q decided to award Rs 21400 for the three values to 8,6 and 10 employees respectively. If all the three prizes together amount to Rs 2700, then (i) Represent the above situation by a matrix equation and form linear equations using matrix multiplication. (ii) Is it possible to solve the system of linear equations so obtained using matrices? (iii) Which value you prefer to be rewarded most and why?
Q5 Two schools A and B decided to award prizes to their students for the three