Chapter 1
Test Content for Chapter 1
Test Content for Chapter 1
BUSINESS MATHEMATICS (BB -102)
Instruction to Candidates :
- Section –A is Compulsory .
- Attempt any Four question from Section –B .
Section –A
Q1.
- a) For any two sets A and B show that ,A B A B
- b) Construct the truth forp v q
- c) If8C r -7 C 3 = 7C 2 , find r .
- d) Using Binomial theorem , evaluate (99 )
- f) A function is defined as ,f(x)= for x ≠ 1=2 for x =1e) If a ,b ,c are in AP show that b + c , c + a, a + b are also in A.P. Test its continuity at x= 1 .
- g) Find the maximum value of 1-x2.
- h) State Cramer`s rule to solve simultaneous equations .
- i) If the sum of the series 2,5,8,11,…...is 60100, then find n .
- j) Which is greater ; log23 or log
Section –B
Q2. a) For any two sets A and B , show that ,(A ∩ B)c =Ac Bc .
- b) For any logical statements p ,q and r show that ,p v (q ^ r)=(p v q) ^ (p v r ).
Q3. a) Solve x2 - =4x+6 .
b) How many different words can be formed out of the letters of the.
word ALLAHABAD ?In how many of them the vowels occupy the
even positions ?
Q4. a) Prove that the coefficient of x n in the expansion of (1+x )2x-1.
- b) Sum to n terms the series ,. 7+ . 77 + .777+ ….
Q5. a) If in an A.P . , the sum of p terms in equal to the sum of q terms ,
then prove that the sum of p + q terms is zero .
- b) If a ≠ 0 then evaluate
Q6. a) If xy =yx , prove that = .
- b) Divide 64 into two parts such that the sum of the cubes of two
parts is minimum .
Q7. a) Apply Gauss elimination method to solve the equations , x+ 4y
-z=-5 ; x+ y -6z = - 12; 3x –y-z =4 .
- b) Find the value of ,
