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24 June, 2009

Finding Day of a given Date,,,

Dear students try this interesting method of finding Day of a given Date.
You know that January month has 31 days. February has 28 days.
What is the difference of number of days?
Yes! It is 3.
It means that every date in February will be 3 days later than the same date in January. You would be requiring reference table 1 for calculations.
Reference table 1:
January....0
February....3
March....3
April....6
May....1
June....4
July....6
August....2
September....5
October....0
November....3
December....5

Steps to be followed:
Step1: Write the Date. E.g. 26th May 1972.
Step2: Write the number of the month from the above reference table 1.
For May it is 1.
Step3: Write the date of the month, here it is 26.
Step4: Write the last 2 digits of the year, here it is 72.
Step5: Find out the number of leap years by dividing the last 2 digits of the year by 4.
Here in this example , 72 divided by 4 is 18.
Step6: Now add all the 4 numbers obtained i.e. 1 + 26 + 72 + 18 = 117.
Step7: Now divide 117 by 7 = 16 remainder 5.

The remainder tells you the day. Now use Reference table 2.

Reference table 2
If remainder is 0, Day is Sunday.
Sunday...0
Monday...1
Tuesday...2
Wednesday...3
Thursday ...4
Friday...5
Saturday ...6

Answer : Day on 26 May 1972 was Friday as the remainder is 5.

Try to do it with your date of birth. Have fun!

13 May, 2009

Probability -Double dice experiment

When we roll a pair of dice then following 36 outcomes are possible.
A pair of die is rolled. Find the probability of the following.
(i) Getting sum greater than 10.
Solution Total Outcomes = 36
Favourable outcomes = 3 { 6,5 ; 5,6 ; 6,6 }
Required Probability = No. of Favourable Outcomes /Total number of Outcomes
= 3/36
= 1/12
(ii) Getting sum greater or equal to 10.
Solution Total Outcomes = 36
Favourable outcomes = 6 { 6,4 ;5,5 ;4,6 ;6,5 ; 5,6 ; 6,6 }
Required Probability = No. of Favourable Outcomes /Total number of Outcomes
= 6/36
= 1/6
(iii) Getting an even number on the first die
Solution Total Outcomes = 36
Favourable outcomes = 18

Required Probability = No. of Favourable Outcomes /Total number of Outcomes
= 18/36
= 1/2

11 May, 2009

Congratulations!

Following students of class X C scored full marks in Unit test I.
Best Wishes!

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