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IGNOU OMT-101 Code Details
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University
IGNOU (Indira Gandhi National Open University)
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Title
Preparatory Course In General Mathematics
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Language(s)
English and Hindi
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Code
OMT-101
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Subject
Mathematics
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Degree(s)
BPP
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Course
Core Courses (CC)
IGNOU OMT-101 English Topics Covered
Block 1 - Numbers
- Unit 1 - Why Do Mathematics?
- Unit 2 - The World of Numbers
- Unit 3 - World of Fractions
- Unit 4 - Decimal Fractions
Block 2 - Algebra
- Unit 1 - Algebraic Expressions
- Unit 2 - Counting Without Counting
- Unit 3 - Permutations and Combinations
Block 3 - Geometry
- Unit 1 - Some Basic Concepts
- Unit 2 - Flat Shapes
- Unit 3 - Symmetry and Tilings
- Unit 4 - Studying Three-Dimensional Objects
- Unit 5 - Mensuration
- Unit 6 - Coordinate Geometry
Block 4 - Handling Investment and Data
- Unit 1 - Commercial Mathematics
- Unit 2 - Handling Data
- Unit 3 - Probability
IGNOU OMT-101 Hindi Topics Covered
Block 1 - संख्याएँ
- Unit 1 - गणित क्यों सीखें?
- Unit 2 - संख्याओं की दुनिया
- Unit 3 - भिन्न की दुनिया
- Unit 4 - दशमलव भिन्न
Block 2 - बीजगणित
- Unit 1 - बीजीय व्यंजक
- Unit 2 - गणन रहित गणन
- Unit 3 - क्रमचय और संचय
Block 3 - ज्यामिति
- Unit 1 - ज्यामिति की आधारभूत संकल्पनाएं
- Unit 2 - सपाट आकार
- Unit 3 - सममिति और फ़र्शियाँ बिछाना
- Unit 4 - त्रिविम वस्तुओं का अध्ययन
- Unit 5 - मेन्सुरेशन
- Unit 6 - निर्देशांक ज्यामिति
Block 4 - निवेश और आंकड़ों का अध्ययन
- Unit 1 - व्यावसायिक गणित
- Unit 2 - आंकड़ा संग्रह और विश्लेषण
- Unit 3 - प्रायिकता
IGNOU OMT-101 (January 2019 - December 2019) Assignment Questions
- a) Give two examples of daily life where you have seen use of symbols.
b) Which of the following sentences are unambiguous? Give reasons for your answers.
Wild life habitats are shrinking in India.
Dogs live with humans.
The moon revolves around the sun.
Kids enjoy watching T.V.
c) What do you think how rational numbers have evolved? Explain with the help of examples. Do you find rational numbers incomplete? Explain.
- a) Evaluate the following using number line
(−2) + (−6)
3×2
b) Compute the LCM and HCF of the numbers 20,45,33 and 84.
c) Write three rational numbers between 3 /4 and 8 /9
such that the difference between the successive numbers is the same. Obtain a general formula for n such numbers between 0 and 1. What can be the maximum value of n in the formula? Justify your answer.
- a) Write the Roman equivalents for the following decimal numbers.
59,68,101,189
b) The rates of different vegetables on a vegetable shop were given as follows:
Vegetable Rate(per kg)
Brinjal 15
Carrot 35
Onion 48
Potato 24
Tomato 18
Capsicum 34
Reena brings with her Rs 140/- to buy 200g brinjals, 250g carrots, 1.75kg Onions, 1.25kg potatoes, 300g tomatoes and 650g capsicum. Does she has enough money to buy the vegitables? If so, how much is left over? If not, how much more money would she need?
c) Solve the following equations
15122/3 = 36x 2/3
(2√3+√2)(2√2−√3) +2 =√6x
d) Does there exist a rational number x such that (14x+1)x = 3? If yes, find all such numbers. If no, give reasons.
- a) i) If the sum of the cubes of first n natural numbers is 25502500, then find the value of n.
ii) How many terms are there in the sequence 3,21,147,...,50421?
b) Find the sum of the series:
10+1+8+2+6+3+....+10(−10)
c) The mobile numbers of a telecom company begin with the digits 932 and do not end in 9. How many phone numbers can it provide at the most?
- a) Consider two right angle triangles with sides a,b, c and A,B,C, respectively. If a/A = b/B,then show that c/C = a/A. Does the result hold when the triangles are not right angle? Justify your answer.
b) What is the difference between a hyperbola and a hyperboloid? Explain with examples.
c) Give two English alphabets which have reflection symmetry. Also find two letters which are not symmetric about any line.
d) Find the relation between the number of faces F, number of vertices V and the number of edge E of the Plantonic solids.
- a) The scale of the road map of a city is 1cm = 922m. If the distance between the places A and B in the map is 6.5cm, find the actual distance between them.
b) A sphere is put inside a cube in such a way that it touches each face of the cube from inside. If the side of the cube is 6cm, find the volume of the space between the sphere and the cube.
c) Find the equation of the line with slope 4/3 and which passes through the mid-point of the line segment joining the points (3,−1) and (1,2). Represent this line geometrically by taking at least three points on it.
d) Find the cost of purchasing 240 shares of a company, each of par value Rs 120 quotes at Rs 150 each in the market, from the shareholder. Also find the gain to the new shareholder if he sells each share at a premium of Rs. 200.
- a) Puneet purchased 36 bananas for Rs 150. Six of them were rotten which he threw them away. He sold three-fifth of the remaining bananas at a profit of 15% and the rest at a loss of 3%. Find his profit or loss in percent.
b) The following data represents the number of vehicles of 24 households in a colony.
2 4 6 5 7 0 3 2
5 5 7 4 5 3 4 0
2 6 4 4 3 3 2 1
Answer the following questions on the basis of the data given above.
What is the maximum and minimum number of vehicles in a household?
Using the classes 0−2,2−4,4−6,6−8 draw up the frequency distribution of the number of vehicles. iii) How many households have vehicles more than 6?
How many households have vehicles between 4 and 6?
c) The following table shows the number of endangered and threatened species surveyed in a year. Find the probability that
a randomly chosen species from the table is a reptile
a randomly chosen species from the table among the endangered species is a reptile.
Mammals Reptiles Birds Amphibians Others
Endangered 60 79 19 12 150
Threatened 9 11 25 7 78
d) Identify which pairs of events A and B are mutually exclusive and which ones are not mutually exclusive.
A: Getting an ace in picking one card from a deck.
B: Getting a club in picking one card from a deck.
A: Getting an even number up on a die.
B: Getting 4 or 6 up on a die.
A: Picking a number from the set {1,2,3,...,100} and getting it divisible by 5.
B: Picking a number from the set {1,2,3,...,100} and getting it indivisible by 5.
IGNOU OMT-101 (January 2019 - December 2019) Assignment Questions
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