Consider the following information regarding the number of men and women workers in three factories I, II and III
`{:(,"Men workers","Women workers"),(I,30,25),(II,25,31),(III,27,26):}`
Represent the above information in the form of a `3xx2` matrix. What does the entry in the third row and second column represent?

A manufacturer considers that men and women workers are equally efficient and so he pays them at the same rate. He has 30 and 17 units of workers male and female and capital respectively, which he uses to produce two types of goods A and B. To produce one unit of A, 2 workers and 3 units of capital are required while 3 workers and 1 unit of capitals required to produce one unit of B. If A and Bare priced at 100 rupeya and 120 rupeya per unit respectively,how should he use his resources to maximize the total revenue ? Form the above as an LPP and solve it graphically .

Draw the graph of each of the following linear equations and answer the following question. (i) y = x (ii) y = 2x (iii) y = -2x (iv) y = 3x v) y = -3x (i) Are all these equations of the form y = mx, where m is a real number? (ii) Are all these graphs passing through the origin? (iii) What can you conclude about these graphs?

A 3' ______________ 5' B C 5' _______________ 3'D AB and CD represent two strands of a DNA molecule. When this molecule undergoes replication, forming a replication fork between A and C in the above. (i) Name the template strands for replication. (ii) Using which strand as the template, will there be continuous synthesis of a complementary DNA strand? (iii) Complementary to which strand will Okazaki segments get synthesised and discontinuous synthesis will occur (iv) What are template strands and Okazaki pieces? (v) In which direction is a new strand synthesized?

A die is numbered in such a way that its faces show the number 1,2,2,3,3,6. It is thrown two times and the total score in two throws in noted. Complete the following table which gives a few values of the total score on the two throws: What is the probability that the total score is i] even? ii] 6? iii] at least 6?

What physical quantities are represented by the following units and what are their most common names? (i) kg m s^(-2) , (ii) kg m^(2)s^(-2) , (iii) dm^(3)

(a) Complete the following equations: (i) Cr_2O_(7)^(2-) + 2OH^(-) to (ii) MnO_(4)^(-) + 4H^(+) + 3e^(-) (b) Account for the following: (i) Zn is not considered as a transitionelement. (ii) Transition metals form a large number of complexes. (iii) The E^(0) value for the Mn^(3+)//Mn^(2+) couple is much more positive than that for Cr^(3+)//Cr^(2+) couple.

Consider the following sets and fill up the blanks with =or ne so as to make the statement true. A={1,2,3{} B={The first three natural numbers} C={a,b,c,d} D={d,c,a,b} E={a,e,I,o,u} F={sets of vowels in English Alphabet} (i) A....B (ii) A...E (iii) C....D (iv) D....F (v) F....A (vi) D.....E (vii) F.....B

Write the following sets in the set-builder form (i) {3,6,9,12} (ii) {2,4,8,16,32} (iii) {5,25,125,625} (iv) {1,4,9,16,25,....,100}