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Page 4 of question Answers

Question46. Dear teacher, i'm a class 10 cbse student in the uae.i'm not at all clear about the lesson 'income tax'. Pls send an        explanation to the lesson on solving those sums. by Lionel Nishant D'souza, Email lionelsouz@gmail.com , answered on Feb 25, 2007 at 12:13 p.m.
Answer 46. Step1 Find gross annual income. If monthly income is given multiply by 12 to get annual income.
Step2 Find total donation taking 100% exemption for N.D.F., P.M.R.F. etc and 50%  for C.T. etc
            example Rs 10000 to N.D.F. and Rs 10000 to C.T. gives total Rs 15000
Step3 Find total savings yearly
Step4 Taxable Income = gross annual income - (donations + savings)  [maximum saving = Rs 1,00,000]
Step5 Find Income tax using the given table
step6 Find surcharge if taxable income exceeds Rs 10,00,000. Surcharge = 10% of I.T.
step7 Education cess = 2% of I.T.
step8 If T.D.S is given subtract it from tax inclusive of edu cess.
If you still have problem send an Email to contact@cbsemath.info we will provide you a phone number after verification of your Email

Question47.I made a formula for doing instalment question for finding the principal corresponding to one month by applying Arithmetic progression
P = nb - n( n-1 ) x/2, where n is the no of instalments ,b is the balance and x the amount of equal monthly instalment.MY query is that whether in board exam evaluation whether any marks cut if I use this formula, by Deepa, Email renjinisom......@yahoo.com, answered on Feb 26, 2007 at 6:54 p.m. I.S.T.
Answer47. This formula or the other form n/2[2×balance - (n - 1)Instalment] is used by many teachers for finding the Principal. Our teachers have been doing evaluation of CBSE math papers from many years and full credit is given for this method.

Question48. PROVE THAT A CYCLIC PARALLELOGRAM IS A RECTANGLE. by SWETHA, E mail swetha_soundararajan@yahoo.co.in,answered on Feb 27, 2007 at 8:43 p.m.
Answer48. In cyclic quadrilateral ABCD, angle A + angle C = 180 (opposite angles of a cyclic quadrilateral)
                                      But angle A = angle C    (opposite angles of a cyclic parallelogram)
                                      2 angle A = 180
                                        angle A = 90
                                      quadrilateral ABCD is a rectangle

Question49. Is CBSE introducing a new math text this year (2007-2008) for 10th standard? If yes, then by when will it be available? by Mary R., E mail mathewr......@hotmail.com, answered on Feb 28, 2007 at 7:54 p.m.
Answer 49. Yes, the math text book is changing with a minor change in syllabus. The changed NCERT text book is generally available  in late April or early May in all parts of India.
                                              
Question50. Solve graphically x - y = 10,3x - 4y = 0, by Rajpal Rathore, E mail cshare......@winsomegroup.com, answered on March 1, 2007 at 6:04 p.m.I.S.T.
Answer50. x - y = 10
x  20   30   40
y  10   20   30
3x - 4y = 0
x   30   60   90
y   40  80    120
Now plot on graph using scale 1 cm = 10 units along x and y axis.

Question51. Prove that if the bisector of any angle of a triangle and the perpendicular bisector of its opposite side intersect,they will intersect on the circumcirle ofhte triangle.(NCERT-CIRCLES-EXERCISE-9.3\Q .33), by shashank kumar, Email shashankparew.....@sify.com,and many more students have asked this question during last few days. answered on March 3, 2007 at 12:49 a.m.
Answer51. Part 1 Let perpendicular bisector of side BC of triangle ABC intersect the circumcircle of triangle ABC at E and BC at D.
Join AE, BD and CD. Because E lies on perpendicular bisector of BC, therefore EB = EC.
So arc BE = arc EC. this gives angle BAE = angle CAE.
Part 2 Let bisector of angle A intersect the circumcircle of triangle ABC at E. From E draw perpendicular to BC intersecting it at D. D lies on bisector of angle BAC, so arc BE = arc EC or BE = DE. Now in isosceles triangle EBC, ED is altitude to BC, therefore it is also median.So BD = CD. So ED is perpendicular bisector of BC
This proves perpendicular bisector of a side and bisector of opposite angle of a triangle intersect on the circumcircle

From here we begin answers for CBSE session 2007 - 08
Question52. What are the changes in Mathematics class X syllabus this year (2007-08)? Can we buy old books? Ramanpreet class x, answered on March 26, 2007 at 8:01 p.m.
Answer52. No you have to buy new books. There have been a lot of changes, a few more chapters have been added and few others have been deleted. Even in the chapters which continue there have been changes.

Question53. Can you please tell me the chapters which have been deleted from 2007 - 08 CBSE mathematics syllabus class x. by Deepak Sharma, answered on March 27, 2007 at 5:20 p.m. I.S.T.
Answer53. Commercial mathematics has been left out. The chapters are Instalments, Income tax etc

Question54. Pls can u tell me where can I get model question and answer papers based on new syllabus for 2008 board exam children.Can we use the guides to study? by Sharmila Mahroof, answered on March 28, 2007 at 6:36 p.m.
Answer54. You can get CBSE mathematics class x new syllabus on cbsemath.com in April 2007. We will begin with sample papers of first chapter Real Numbers. You can get them here.

Question55. I need new CBSE syllabus 2008 for all subjects. Can you help? by Roopali Garg class x, anwered on March 30, 2007 at 9:35 p.m.
Answer55. You can download it from our website on April 1 or 2, 2007 for all subjects.


Question56. Please give a exact date for CBSE syllabus 2008. by Roopali Garg class X, answered on March 31, 2007 at 4:41 p.m. I.S.T.
Anwer56. CBSE syllabus 2008 class x and x11 has already been added. click here

Take online tests in mathematics class X  click here

Question57. New Mathematics books class X are not available in enough numbers in our town, only a few students have got them. From where can I download online books? by Akshitta Jain class X, answered on April 9, 2007 at 3:43 p.m. I.S.T.
Answer57. You can download it from here

Question58. You promised to provide new maths sample papers class x in April but till today they are not available, When exactly will they be available? Gursimran singh class x, answered on April 11, 2007 at 6:00 p.m. I.S.T.
Answer58. Dear student we will provide them within April.

Question59. Find eight rational numbers between 1 and 2. by Ambesh Sharma, class not written may be V11, answered on April 12, 2007 at 8:40 p.m. I.S.T.
Answer 60. The required numbers are 1.1, 1.2, 1.3, 1.4 ... or 1 = 10/10 and 2 = 20/10 Therefore the reqired numbers are 11/10, 12/10, ...

Question57. Please tell the exact date for CBSE Maths sample papers for class X, by Raman Goyal, answered on April 25, 2007 at 9:50 p.m. I.S.T.
Dear student, we have started them from today and the first one is available here
Question58. Two water taps together fill a tank in 9 3/8 hours.the tap of larger diameter takes 10 hours less than the smaller one to fill the tank separately.find the time in which each tap can separately fill the tank. asked by Maseera,  maseera.......@yahoo.co.uk, answered on May 20, 2007 at 1:49 p.m. IST
Answer. Let time taken by tap with smaller diameter to fill tank = x hours
                 Work done in 1 hour = 1/x
                 time taken by tap with bigger diameter to fill tank = (x - 10) hours
                 Work done in 1 hour = 1/(x - 10)
                 1/x  +   1/(x - 10)   =  8/75
                 ....................................
                 8x^2 - 230x + 750 = 0
                 4x^2 - 115x + 375 = 0
                 4x^2 - 100x - 15x + 375 = 0
                 .......................................
                 x = 25 or x = 3.75
                 x = 3.75 rejected because then x - 10 < 0
                     So x = 25
                 Time taken by pipes are 25 hours and 15 hours
Question59.  Sir, As per the CBSE syllabus, our maths project of 10 standard is on arithmetic progression. I am finding some problem in it. Can you please help me in finding appropriate resources for project.asked by Siddhatha Srivastava answered on June 12, 2007 at 6:47 p.m. IST
Answer. You can get help from Lab manual printed by CBSE itself. You can download it free from here
Question60. what is probability of getting ace card out of well shuffled pack of 52 playing cards asked by Ankit class X, answered on June 18 2007 at 8:06 p.m. I.S.T.
Answer 60. No of ace cards = 4. Therefore required probability  =  4/52 = 1/13 Your Ad Here
For QuesAns 61 onwards click here

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