Smallest whole number =0

Smallest counting number=1

Average

1..A train runs 3 hours at a speed of 65 km per hour and for next 2 hours at a speed of 70 km per hour. Find the average speed of the train for the 5 hours' journey.

solution: Total distance covered in first 3 hours: (65*3)      = 195 km
             Total distance covered in next 2 hours: (70*2)      = 140 km
             Total distance covered in first 5 hours: (195+140) = 335 km

  so, Average speed for 5 hours' journey= 335/5= 67 km/hr.


2..Find the average of 7 numbers if the sum of the first four is 76 and the sum of the last three s 78.


Solution:  Sum of first four numbers = 76
               Sum of last seven numbers = 78
               Total of seven numbers= 76+78=154
         
              So, Average of 7 numbers = 154/7= 22

Roman Numerals

There are four basic principles for reading and writing Roman numerals:

• 1. A letter repeats its value that many times (XXX = 30, CC = 200, etc.). A letter can only be repeated three times.
• 2. If one or more letters are placed after another letter of greater value, add that amount.

  VI = 6 (5 + 1 = 6)

  LXX = 70 (50 + 10 + 10 = 70)

  MCC = 1200 (1000 + 100 + 100 = 1200)

3. If a letter is placed before another letter of greater value, subtract that amount.

IV = 4 (5 – 1 = 4)

XC = 90 (100 – 10 = 90)

CM = 900 (1000 – 100 = 900)

Several rules apply for subtracting amounts from Roman numerals:
• a. Only subtract powers of ten (I, X, or C, but not V or L)

  For 95, do NOT write VC (100 – 5).
  DO write XCV (XC + V or 90 + 5)

• b. Only subtract one number from another.

  For 13, do NOT write IIXV (15 – 1 - 1).
  DO write XIII (X + I + I + I or 10 + 3)

• c. Do not subtract a number from one that is more than 10 times greater (that is, you can subtract 1 from 10 [IX] but not 1 from 20—there is no such number as IXX.)

  For 99, do NOT write IC (C – I or 100 - 1).
  DO write XCIX (XC + IX or 90 + 9)

• 4. A bar placed on top of a letter or string of letters increases the numeral's value by 1,000 times.

  XV = 15, = 15,000

  One	I	Eleven	XI	Thirty	XXX
  Two	II	Twelve	XII	Forty	XL
  Three	III	Thirteen	XIII	Fifty	L
  Four	IV	Fourteen	XIV	Sixty	LX
  Five	V	Fifteen	XV	Seventy	LXX
  Six	VI	Sixteen	XVI	Eighty	LXXX
  Seven	VII	Seventeen	XVII	Ninety	XC
  Eight	VIII	Eighteen	XVIII	One hundred	C
  Nine	IX	Nineteen	XIX	Five hundred	D
  Ten	X	Twenty	XX	One thousand	M

UPBEAT

a contented state of being happy and healthy and prosperous

cusine

Itz not an English word, Cuisine is a French word used for "manner of preparing food".

Importance of P.I.L.

1. Bonded labour
2. Child welfare
3. Protection of prostitute and their children
4. Care taker house
5. Protection of environment
6. In force of public duty
7. C.B.I. and central vigilances
8. Code of conduct and medical profession
9. Blood bank
10. Pain harassment and uncommon behavior
11. Fabricated war
12. Breach against human rights
13. Rape victimized
14. By sex harassment breach of provision 14 and 21 of the working women
15. People
16. Protection of court status