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In an examination 50% of the students passed in Mathematics and 70% of students passed in Science while 10% students failed in both subjects. 300 students passed in
at least one subject. Find the total number of students who appeared in the examination,
if they took examination in only two subject?

Solution:

Given

Passed percentage in M=50%, S=70%,

300 students passed in atleast one subject.

10% failed in both subject.

so remaining 90% passed atleast in one subject.

n(M∪S)=n(M)+n(S)-n(M∩S)

90%=50%+70%-n(M∩S)

n(M∩S)=30%

so, 30% of X=300

X=1000.

The total number of students is 1000.

Hello everybody,

 State Board maths is really very very easy. It is really easy to score 100.

First concentrate every example sums.

If learn that example sums definitely you can understand your exercise sums.

You need to write every exams in the following order :

1. 10 Mark Questions 

2. 5 Mark Questions

3. 2 mark questions

4. 1 mark question

Don't leave any questions  you can attend every question. 

Remember every formulas. Daily 1 hour you have to spend for maths subject.

Every student can get certain benefits in case he adheres to the following five tips while preparing for the examination.

1) Read a chapter/lesson/topic thoroughly at least 3-4 times after it is discussed in the class. You may then refer to any notes/suggestion papers. Write down your doubts for help from tutor/teacher. Don't rush to any teacher with doubts before this activity.

2) Prepare your lessons/chapters/topics by writing the answers yourself to questions from the textbook/reference books/last few years examination questions/question bank.

3) Never start reading a new chapter a day before any examination. It will lead you more shaken and confused. Be patient and revise already prepared topics.

4)It is always helpful to read 3-4 hours every day for the entire year rather than 10-12 hours few days before the examination as the human brain is adaptive to absorbing new information and retaining it when it is gradual rather than abrupt.

5) Never inquire about what/how your friends have prepared their lessons on the eve of the examination.

It makes you more uneasy, nervous, add no value and instead impacts your mental balance.

Basically while solving mathematics problems, some typo errors can exhaust your patience.

One should look for such possibility to save efforts and time.

Example: Mathematics Part I (Algebra) by Maharashtra State Board

Practice set 1.5 Problem 7 Question 3.

The question deals with a problem in dealing notes of different denominations.

The given problem statement:

Suppose that Anushka had x notes of Rs 10 and Y notes of Rs 50 each...

the equations

10 x + 50 y = 2500

The number of notes interchanged.

50x + 10 y = 2000

If you try with details you will get fractional answers;

But have a look at the answer.

It mentions Rs 100.

There is a typo error.

The correct equations are

100x + 50 y = 2500

50 x + 100 y = 2000

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6. Remember the catalyst use in reaction.