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IGNOU BCS012 Exam Most Questions Free For 202223 Session
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BCS012 : 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 BCS012 Exam Most Questions Free For 202021
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