Download PTU BBA 2020 Dec 2nd Sem 10546 Business Mathematics Question Paper

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Total No. of Questions: 18

Total No. of Pages : 03

BBA (2014 to 2017) / BRDM / B.SIM (2014 & onwards) (Sem. 2)

BUSINESS MATHEMATICS

Subject Code : BBA-203

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M.Code: 10546

Time: 3 Hrs.

Max. Marks : 60

INSTRUCTIONS TO CANDIDATES :

1. SECTION-A is COMPULSORY consisting of TEN questions carrying TWO marks each.

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2. SECTION-B consists of FOUR Sub-sections: Units-I, II, III & IV.
3. Each Sub-section contains TWO questions each, carrying TEN marks each.
4. Students have to attempt any ONE question from each Sub-section.

SECTION-A

1. Two finite sets have m and n elements. The total number of subsets of the first set is 56 more than the total number of subsets of the second set. Find the values of m and n.

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2. State De-Morgan's Law.
3. In a class of 25 students, 12 have taken economics, 8 have taken economics but not politics. Find the number of students who have taken economics & politics and those who have taken politics but not economics.
4. Show by means of an example that the product of two non-zero matrices can be a zero matrix.
5. Let A = ?1 0 2? ?0 2 3? then show that | 3A | = 27 | A |. ?0 0 5?
6. Without expanding prove ?9 9 12? ?1 -3 -4? = 0. ?1 9 12?

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7. Use logarithms to solve the following equation : 3x = 2.
8. Given y = (4x + 3)6, find dy/dx
9. Differentiate sin² x³ w.r.t. x.
10. Find the 3rd term of ?3x - 1 ?4 ? 6 ?

SECTION-B

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UNIT-I

1. a) State and prove inclusion-exclusion principle. b) If A, B, C be any three sets, then prove that (AUB) × C = (A × C) U (B × C).
2. In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% families buy newspaper B and 10% newspaper C, 5% buy A and B, 3% buy B and C and 4% buy A and C. If 2% families buy all the three newspapers, find the number of families which buy a) A only b) B only c) only C d) none of A, B and C.

UNIT-II

1. If A = ? 2 -1 1? ?1 2 1? and B = ? 1 3 1?, find the product AB and use this result to ?-1 1 2? ?-1 1 3? ? -1 3? solve the following system of linear equations : 2x - y + z = -1 ; -x + 2y - z = 4 : x - y + 2z = - 3.

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2. Using properties of determinants, prove that : a b c b c a = -(a + b + c) (ab + bc + ca - a2 - b2 - c2). c a b

UNIT-III

1. Show that of all rectangles with a given perimeter, the square has the largest area.
2. Differentiate the following function w.r.t. x : a) tan -1x 4 b) log log log x3.

UNIT-IV

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1. The coefficients of (r – 1)th, rth and (r + 1)th terms in the expansion of (x + 1)n are in the ratio 1:3: 5. Find both n and r.
2. a) State and prove Logarithmic Base changing formula. b) The value of machine when new is Rs. 20,000. It depreciates in its value at the rate of 3% per annum in the first 4 years and then at the rate of 5% per annum in the next six years. What will be its value after 10 years?

NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any page of Answer Sheet will lead to UMC against the Student.

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