## Sunday, February 14, 2016

• Sunday, February 14, 2016
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Roll No……………….
Examination May-2014
Paper ID-C0202

Time: 3 Hrs.                                                                           Max Marks: 60

SECTION-A

1.       (i)      If and then find (A-B).
(ii)     Give the truth table for the statement (iii)    Find the roots of x2+2x-35 = 0
(iv)    Evaluate C (13,4) + C (13, 8).
(v)     Using Binomial theorem, expand (2x – y) 4.
(vi)    Which term of G.P. 2, 1, is (vii)   Determine k, so that the function is continuous f (x) = (viii)  Find derivative of log x + 9x2/3+ 3a -7x.
(ix)    Evaluate log327.
(x)     The compound interest on the certain sum at 10% per annum for 2 years is Rs.630/-, find the sum.

SECTION-B
2.                (a)     Check if relation R in the set A={1,2,3,4,5,6}, defined as R={(x,y) : y is divisible by x)}, is reflexive, symmetric and transitive.
(b)     Solve the system of equations: 3x – 2y = 4; 2x + y = 5.

3.                Find the number of arrangements of the letters of the word  INDEPENDECE. In how many of these arrangements.
b.       Do all the vowels never occur together?
c.       Do all the vowels always occur together?
d.       Do the words begin with I and end P?

4.                (a)     Find the coefficient of x7 in 11.
(b)     Find the sum of all odd integers between 2 and 100 divisible by 3.

5.                (a)     Find , if  f(x) = (b)     If possible, find the maxima and minima of  f(x) = ex.

6.                (a)     Solve the equations 2x – y =  -2  and 2x + 4y = 3, using Cramer’s rule.
(b)     Solve 4x + y + z = 4, x + 4y - 2z = 4, 3x + 2y - 4z = 6, by Gauss Elimination method.
7.               (a)     Find the value of log – 2 log + 3 log .

(b)     If simple interest for a certain sum of money at 10% per annum for 2 years is Rs.200/- , then what will be the compound interest for the same sum of the money in same period?