It is compulsory to submit the assignment before filling in the exam form.

Transcription

1 OMT-101 ASSIGNMENT BOOKLET Bachelr's Preparatry Prgramme PREPARATORY COURSE IN GENERAL MATHEMATICS (This assignment is valid nly upt: 1 st December, 01 And Valid fr bth Jan 01 cycle and July 01 cycle) It is cmpulsry t submit the assignment befre filling in the exam frm. Schl f Sciences Indira Gandhi Natinal Open University Maidan Garhi New Delhi (January, 01 Cycle)

2 OMT-101 ASSIGNMENT COMPONENT Dear Student, This assignment bklet cnsists f certain questins related t the printed study material that has been sent t yu. It is necessary t d this assignment as it cnstitutes the cntinuus evaluatin cmpnent f this curse. The main purpse f this assignment is t help yu assess yur grasp f the learning material. The infrmatin given in the printed curse material shuld be sufficient fr answering the assignment. Yu have t cmplete the assignment in time. Yu will nt be allwed t appear fr the term-end examinatin if yu d nt submit the assignment in time. If yu appear in the term-end examinatin withut submitting the assignment, then the result f the term-end examinatin is liable t be cancelled. The cunselr attached t yur study centre will be evaluating yur assignment as well as OMR sheet and will give the cmments n them within a mnth after submissin. These cmments will give yu sme feedback regarding yur understanding f the subject. Fr yur wn recrd, retain a cpy f all the assignment respnses which yu submit t the Crdinatr f yur study centre. If yu d nt get back yur evaluated assignments alng with the cmments n them within a mnth after submissin, please ask yur study centre crdinatr fr them. In case yu are unable t submit the assignment respnses then yu have t wait fr the assignments meant fr the next batch f students. The request fr the new assignment may be addressed t the Assistant Registrar, Material Prductin & Distributin Divisin, Indira Gandhi Natinal Open University, Maidan Garhi, New Delhi , in the mnth f January/February in the prescribed frm printed in this prgramme guide. (Assignments are als available frm the IGNOU website Yu culd access them by clicking n the links fr student dwnlad assignments BPP.)

3 Instructins fr Frmatting Yur Assignments Befre attempting the assignment please read the fllwing instructins carefully. 1) On tp f the first page f yur answer sheet, please write the details exactly in the fllwing frmat: ROLL NO : NAME : ADDRESS : COURSE CODE:. COURSE TITLE :. ASSIGNMENT NO.. STUDY CENTRE:.... DATE:.... PLEASE FOLLOW THE ABOVE FORMAT STRICTLY TO FACILITATE EVALUATION AND TO AVOID DELAY. ) Use nly flscap size writing paper (but nt f very thin variety) fr writing yur answers. ) Leave cm margin n the left, tp and bttm f yur answer sheet. ) Yur answers shuld be precise. ) While slving prblems, clearly indicate which part f which questin is being slved. 6) This assignment (alng with the filled OMR sheet) is t be submitted t the Study Centre. 7) This assignment is valid nly upt December 1 st, 01. We strngly suggest that yu retain a cpy f yur answer sheets. We wish yu gd luck.

4 Assignment (T be dne after studying the curse material) Sectin A Curse Cde: OMT-101 Assignment Cde: OMT-101/TMA/01 Maximum Marks: a) Check whether (x 1) is a factr f the plynmial. x + x + x x +. Justify yur answer. b) Draw the crdinate axes and represent the fllwing pints 1, 1, i) ( ) ii) ( ) iii) (, ) iv) ( 1, ) v) (, 0) vi) (, ) 0 c) Find the pint n the x-axis which is equidistant frm (1, ) and (, 1). (). a) Cnsider the fllwing figure, what value f x wuld make POQ a line. R x+ 6x P O Q n n n 1 b) Using the result C + r C = + r 1 Cr cmpute i) 0 C C 8 and ii) 1 C C () 8 n c) Shw that n + n + L + n. C C C = 0 1 n. a) Hw many wrds with r withut dictinary meaning can be made frm the letters in the wrd JANUARY, assuming that n letter is repeated, if letters are used at ne time? () b) A wire when bent int the frm f a square enclses an area f 1 sq.cm. if the wire is bent in the frm f a circle, then what wuld be the area? (). a) Find the variance and standard deviatin fr the data 10, 1, 1, 16, 18, 0, 1, 1, 10, 11. () b) Fr 108 randmly selected cllege applicants, the fllwing frequency distributin fr entrance exam scres was btained. Cnstruct a histgram, frequency plygn, and -give fr the data.

5 Class limits Frequency Applicants wh scre abve 107 need nt enrll in a summer develpmental prgram. In this grup, hw many students d nt have t enrll in the develpmental prgram? () c) Cnsider the fllwing data have been arranged in ascending rder 10, 1, 1, 1, 11, x, 1, 1, 1, 17. If the mean f the data is 1, find x. (). a) Find the cmplement f each f the fllwing events. i) Rlling a die and getting a 6 ii) Selecting a letter f the alphabet and getting a letter frm the set f first 10 alphabets iii) Selecting a mnth and getting a mnth that begins with a A. iv) Selecting a day f the week and getting a Sunday. () b) In a sample f 0 peple, 1 had type O bld, had type A bld, had type B bld, and had type AB bld. Set up a frequency distributin and find the fllwing prbabilities: i) A persn has type O bld. ii) A persn has type A r type B bld. iii) A persn has neither type A nr type O bld. iv) A persn des nt have type AB bld. () c) Determine which events are mutually exclusive and which are nt when a single die is rlled. i) Getting an dd number and getting an even number ii) Getting a and getting an dd number iii) Getting an dd number and getting a number less than iv) Getting a number greater than and getting a number less than () d) Find the mean deviatin fr the data 10, 7, 8, and 1 () 6. a) A shpkeeper gives 1 % discunt n a T.V. set. If the list price f the T.V. set is ` 16,00, find the amunt which a custmer has t pay fr buying the T.V. set if the rate f sales tax is 10 %. ()

6 b) Pardeep buys 1000 shares f par value f `10 each f a cmpany which pays annual dividend f 1 % at such a price that he gets % n his investment. Find the market value f a share. () c) Give a cunter example t disprve the statement that every cunting number is greater than r equal t the sum f the prper factrs. () d) Give an example f the fllwing: i) Tw irratinal numbers, the prduct f which is a ratinal number ii) One ratinal number lying between 0 and 1. iii) A decimal number lying between 0.00 and iv) A fractin lying between and. () 7. a) Calculate the fllwing: i) ii) ( 1). 1. () b) Express 98 as a sum r difference f tw numbers whse pwers are easier t calculate and then use binmial therem t cmpute 98 raised t the pwer. c) Perfrm the fllwing peratin i) p ( x) + q( x) and p( x) q( x) where p( x) x x 1 = and q(x) = x + x + x 7x. s u.r u and where the remainder and qutient n divisin f ii) ( ) ( ) 6 6 s u = u + u + u + 7u, r( u) u + u u u. ( ) ( ) = 8. a) List bjects that yu find arund yu in each f the categry belw. (i) Sphere (ii) Cubid (iii) Cylinder b) A circular piece f metal measures radius 7 cm. Find its cst at the rate f ` 0 per square cm. c) A persn paid Rs. 00 fr a basket f 0 ranges. He fund that f them were bad and threw them away. He sld ¼ f the remaining ranges at a prfit f 0% and the rest at a lss f %. What is his prfit r lss? () 6

7 Sectin B The fllwing 0 questins are multiple chice types. Only ne f the fur alternatives given in each is crrect. Yu have t identify the crrect answer. Each questin is wrth 1 mark. Yu have t give the answers in the OMR sheet attached with this and submit it alng with yur answers t the ther questins, fr evaluatin. Please read the instructins given fr filling the OMR sheet, carefully befre yu start filling yur answers. (Please nte that this is the frmat appearing in yur Term End Examinatin.) 1. If x = 1 then x is The value f is: 9 () () () () 6 6. The value f is: () () 10. In an issceles triangle, the unequal angle is twice f the equal angles. The measure f an unequal angle is: () () 10. Which f the fllwing is nt greater than? 1 () 0 () 6. The value f x [ x{ x ( x y) }] is: x y () x + y x + y () x y 7

8 7. If 10% f 8 80 = y% f 6 80 then y is. 8 () () 1 8. If = 6 and = 1 then p q is. p q 1 10 () () The value f [ 8 ] [ ] = () () Which ne f the fllwing angles is acute? () 100 () If C (n, 1) = C (n, 8) then C (, n) is: 1 () 10 () ! + 1! =. 1 () 0 () 1 1 The sum f all dd numbers between 1 and 11 is. () ) 6 1. ( + ) ( 1 )= 1. 1 () 1 () 0 1 If P (A) =, P( B ), P( A B) = then P ( A B) = () 7 6 8

9 11 6 () ( ) =. 0. () 0.1. () The value f C(6, ) is : 0 () 1 1 () The sum f 8 dd and even numbers will be. an dd n. () an even n. a prime () a cmplex number 19. In hurs the minutes hand f a clck rtates thrugh an angle f. () 60 () 60 () A ladder is standing against a wall 1 mt in height at a distance f m. Length f ladder is. 17 m () 1 m 1. m () 7 m 9

10 10 INSTRUCTIONS FOR MARKING IN THE OMR RESPONSE SHEET 1. Use nly H.B. pencil fr filling the respnse sheet. Mark yur answers in the prper clumn. Enter yur Enrlment n., year, mnth, curse cde and examinatin cde in the respective bxes given fr that as shwn belw. Fr example if yur enrlment number is , then yu need t first write the enrlment number as shwn in the bx titled enrlment n., given belw. Then yu have t dark each circle crrespnding t each digit appearing in the enrlment number. Suppse, fr example, the leftmst digit is 0. S we darken the first 0 in the bx. Next digit is 7. Then we select the rw cntaining 7 and darken the 7 in the secnd clumn. Similarly yu can fill the ther digits. Nte that the Curse Cde yu have t fill in the OMR sheet is the cmputer cde fr this curse which is 111. This is different frm the curse cde given in the prgramme guide r blcks fr this curse. ENROLMENT NUMBER COURSE CODE YEAR EXAMINATION CENTRE CODE MONTH

11 11. Fr filling the crrect chice fr the multiple chice questins, d as illustrated in the fllwing example. Suppse Questin 1 is as given belw: Q.N. 1.: Which ne f the fllwing is nt an integer. 1 () 0. () 0 Suppse yur answer t the questin is which is given in ptin n.. Then yu have t select the clumn against n. 1 in the bxes given belw and write in the bx belw 1 and shade the circle numbered in that as shwn belw. If yur answer is such that nne f the ptins are crrect, then select

12 1 OMR Respnse Sheet (Fr writing answers t multiple chice questins) This page is t be trn ff and after filling the relevant bxes attach it alng with yur answers t ther questins in the assignment. This is t be submitted at the study centre fr evaluatin. ENROLMENT NUMBER COURSE CODE YEAR EXAMINATION CENTRE CODE MONTH ANSWERS TO MULTIPLE CHOICE QUESTIONS