IGNOU MST 1 SOLVED ASSIGNMENT 2025

Ques 1.

State whether the following statements are True or False. Give reason in support of your answer.

(a) Between any two different rational numbers there is another rational number.

(b)

(c) 210 is 51^st term of the sequence 10, 15, 20, 25, ...

(e) The range of the data shown in the following frequency distribution is 350.

Ques 2.

A carpenter was hired to build 192 window frames. The first day he made five frames and each day thereafter he made two more frames than he made the day before. How many days he will take to finish his job?

Ques 3.

Set having values  is countable.

Ques 4.

How many words each of three vowels and two consonants can be formed from the letters of the words INVOLUTE?

Ques 5.

Express 700.1400.2100.2800.3500.42000 in terms of factorial.

Ques 6.

How many different signals are possible with 5 blue, 4 red, 3 white and 2 green flags by using all at a time in a queue?

Ques 7.

If in a hall there are 10 randomly selected students then how many numbers of ways are there such that all of them have different birthday. Assume that all of them have their birthday in non-leap years.

Ques 8.

Discuss the continuity and differentiability of the following function at x = 2/3:

Ques 9.

Evaluate the following integrals:

i) 

ii) 

Ques 10.

Find values of x, y and z given that

You are bound to use the matrix techniques to solve the given equations.

Ques 11.

Write flow charts of Cramer rule and matrix method.

Ques 12.

Write whether the following data are discrete or continuous. Give reason in support of your answer.

i) Number of children in a family in a colony of 100 families.

Number of pages in each of the 50 books having some mistake.

Height of students of IGNOU who enrolled in 2021.

iv) Waiting time of metro when a person reaches metro station.

v) Monthly income of the family.

Ques 13.

Write any 10 principles of data visualisation.

Ques 14.

What is the relation of unit on y-axis with unit on x-axis in histogram.

Ques 15.

State whether the following statements are True or False and also give the reason in support of your answer.

a) Collection of rich persons in India forms a set. 

b) Following rule is a function from A to B.

d) In exclusive method, upper limit of a class is included in the same class.

e) The order of the matrix 

Ques 16.

 If four cards are chosen from a pack of 52 playing cards then find the number of ways that all four cards are:

a) of same suit

b) red

c) face cards

d) king

e) of different suit

Ques 17.

Arrange the numbers 49, 36, 42, 19, 22, 27, 14, 13, 24, 48, 23, 28, 17, 42, 39, 45, 22, 24, 17, 41, 18, 42, 38, 43, 11, 27, 36, 13, 40, 30, 24, 10, 18, 47, 18, 19, 23, 12, 27 in stretched stem-and-leaf display that has single-digit starting parts and leaves, but has stem width of 

Ques 18.

 If the universal set is      and  are the subsets of U, then verify

a) De-Morgan’s laws

b) left distributive law

Ques 19.

Evaluate the following:

b)  

Ques 20.

Prove that 

Ques 21.

What do you mean by primary data and secondary data? Also give an example in each case.

Ques 22.

Draw a box plot with whisker, +ve sign and outliers for the following data:

42, 37, 28, 23, 32, 25, 26, 39, 38, 41, 22, 38, 21, 31, 26, 36, 42, 52, 50, 47, 24, 53, 28

Ques 23.

Find the values of a and b, if the function f given below is continuous at x=2

Ques 24.

Draw a histogram for the following data:

Also draw frequency polygon in the same graph

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