# Value Based Questions for Mathematics Class 12

Topics: Matrix, Elementary algebra, Blood donation Pages: 5 (1683 words) Published: June 21, 2013
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 values Truth         (x), patriotism (y) and Non - violence (z). School A decided to award a total of Rs 11000         For the three values to 5,4 and 3 students respectively. While school B decided to award Rs 10700 for the three values to  4,3 and 5 students 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 equations so obtained  using matrices? (iii)  Which value you prefer to be awarded most and why?
Q6   A sum of saving amount of  Rs 10000 is put into three investments at the rate of 10%,         12% and 15% p.a. The combined income of first and second investment is Rs 190 less         of the income of third investment. If the combined income is Rs 1310, then find the         Investment in each using matrices. Keeping nation’s growth in mind, justify the value of saving in individual life. Q7   A  window is in the form of rectangle surmounted by a semicircular opening. The total         perimeter of the window is 10m. Find the dimensions of the window to admit maximum         sunlight through the whole opening. Explain the importance of sunlight. Q8  A  manufacturer can sell bio gas operated x items at a price of  Rs each. The         cost price of bio gas operated x items is Rs . Find the number of items he          should sell to earn maximum profit. Explain the importance of use of renewable resources of energy. Q9 Anil wants to invest at most Rs 12000 in Saving Certificates and National Saving Bonds.         According to rules, he has to invest at least Rs 2000 in Saving Certificates and at least          Rs 4000  in National Saving Bonds. If the rate Of interest on Saving Certificate is 8%         Per annum and the rate of interest on National Saving Bonds is 10% per annum, how          much money should he invest to earn maximum yearly income? Find also his maximum          yearly income....