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?

Express the following rational numbers in decimal form and what type of numbers the resulting decimal fractions are : (i) 3/13 (ii) 4""1/8 (iii) 2/11 (iv) 329/400

In which of the following situations, does the list of numbers involved is in the form of a GP? (i) Salary of Sharmila, when her salary is 5,00,000 for the first year and expected to receive yearly increase of 10%. ii) Number of bricks needed to make each step, if the stair case has total 30 steps, provided that bottom step needs 100 bricks and each successive step needs 2 brick less than the previous step. iii) Perimeter of the each triangle, when the mid points of sides of an equilateral triangle whose side is 24 cm are joined to form another triangle, whose mid points in turn are joined to form still another triangle and the process continues indefinitely.

Find the period of the following functions (i) f(x)=|sin 3x| (ii) f(x)=2"cosec"(5x-6)+7 (iii) f(x) =x-[x-2.6], where [.] represents the greatest integer function.

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?

Each equation contains statements given in two columns which have to be matched. Statements (a,b,c,d) in column I have to be matched with Statements (p, q, r, s) in column II. If the correct match are avecp ,avecs ,bvecq ,bvecr , cvecp , cvecq , and dvecs , then the correctly bubbled 4x4 matrix should be as follows: Figure Consider the lines represented by equation (x^2+x y-x)(x-y)=0, forming a triangle. Then match the following: Column I|Column II a. Orthocenter of triangle |p. (1/6,1/2) b.Circumcenter|q. (1(2+2sqrt(2)),1/2) c.Centroid|r. (0,1/2) d.Incenter|s. (1/2,1/2)

(i) The electronic configuration of an atom is [Z](n-2) f^(14)(n-1)d^(1)ns^(2) . What is the minimum position of the atom in the periodic table and correspondingly what is the atomic number of Z? (ii) Find the number of unpaired electrons in the atom of the element having atomic number 16. (iii) Which of the following ions does not obey Bohr's atomic theory? He^(2+),Li^(2+),B^(3+),Be^(3+) .

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}

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