IGNOU BCS-012 Exam Most Questions

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IGNOU BCS-012 Exam Most Questions  Free For 2022-23 Session

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BCS-012 : BASIC MATHEMATICS

(1)If the points (2, —3), (X, —1) and (0, 4) are 5

collinear, find the value of X.

(2) The sum of n terms of two different arithmetic progressions are in the ratio

(3n + 8) : (7n + 15). Find the ratio of their 12th term.

(3)Solve the following system of linear equations using Cramer's rule.

x + 2y - z = -1, 3x + 8y+ 2z = 28, 4x+ 9y+ z =14.

(4)Solve of the following LPP graphically :Maximize : z =5x +3y Subject to : 3x +5y15

5x+2y5_10

x, y > 0

(5) If a and P are roots of 2x2 - 3x + 5 = 0, find the equation whose roots are a + (1/1i) and

R + (1/a).

(6) A tailor of the needs at least 40 large buttons and 60 small buttons. In the market two kinds of boxes are available. Box A contains 6

large and 2 small buttons and costs 3, box B contains 2 large and 4 small buttons

and costs 2. Find out how many boxes of each type should be purchased to minimize

the expenditure

(7)Show that 133 divides 1111+2 + 12211+1 for every natural number n.

(8).Use the principle of mathematical induction to show that 2 + 22 + + 211 = 2I1 + 1 — 2 for every natural number n.

(9).Suriti wants to Invest at most 12000 in  saving certificates and National Saving

Bonds to the She has to Invest at least 2000 in Saving certificates and at least 4000 in

National Saving Bonds. If Rate of the Interest on Saving certificates is 8% per annum and

rate of the interest on national saving bond is 10% per annum. How much money

should be to she invest to earn maximum yearly income ? Find also the maximum yearly

income.

(10)Solve the following LPP by graphical method. Minimize : z X= 20x +10y Subject to : x + 2y40

3x + y 30

4x +3y?.- 60

IGNOU BCS-012 Exam Most Questions  Free For 2020-21

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