Dear Candidates
Karnataka Public Service Commission (KPSC) has announced 2039 vacancies for Group C Non Technical posts. This is very good news for the candidates who are looking for KPSC jobs in karnataka. Interested and eligible candidates are advised to apply online for KPSC recruitment 2016 at www.kpsc.kar.nic.in on or before application closing date 01-04-2016.
Exammela.com
Dear Candidates
Assistant in Ministry of Railways is an Assistant post offered through SSC CGL. In this job, you would work for Indian Railways, which is a Government of India owned railway network. It is one of the largest and longest railway networks of the world.
You will be posted at Rail Bhawan in Delhi.Your work profile will normally include clerical work like completing files and making reports and putting them up to the higher authorities.
Pay Scale is 9300 -34800 in addition to other allowances.
Exammela.com
Dear Candidates
Himachal Pradesh Subordinate Services Selection Board (HPSSSB), Hamirpur has released notification for the recruitment of 696 vacancies on contract & regular basis. Eligible candidates may apply online from 07-03-2016 to 07-04-2016 by 11:59 P.M.
Properties of number:
1. Commutative Property: This property tells us we can add and multiply numbers in any order.
(i) a + b + c = b + a + c
Ex. 3 + 5 + 6 = 5 + 3 + 6
In left hand side we add 3 & 5, and then we will get 8
In right hand side we add 5 & 3, and then we will also get 8.
8 + 6 = 6 + 8
14 = 14
L.H.S and R.H.S both are equal.
(ii) axbxc = bxcxa
5 x 6 x 7 = 6 x 7 x 5
In left hand side we multiply 5 & 6, and then we will get 30
In right hand side we add 6 & 7, and then we will also get 42.
30 x 7 = 42 x 5
210 = 210.
LHS and RHS both are equal.
2. Associative Property: Both addition and multiplication can be done with two numbers at a time.
(i) a +(b + c)= (a + b) +c
Ex. 5 + (6 + 8) = (5 + 6) + 8
5 + 14 = 11 + 8
19 = 19
Hence proved, LHS and RHS both are equal.
(ii) ax (b x c) = (a x b) x c
Ex. 5 x (6 x 8) = (5 x 6) x 8
5 x 48 = 30 x 8
240 = 240
Hence proved, L.H.S and R.H.S both are equal.
3. Distributive Property: In this property "multiplication distributes over addition".
a x (b +c) = a x b + a x c
Ex. 5 x (6 + 8) = 5 x 6 + 5 x 8
5 x 14 = 30 + 40
70 = 70
Hence proved, L.H.S and R.H.S both are equal.
4. Identity property: It tells us that zero added to any number is the number itself. Zero is called the "additive identity." The identity property for multiplication tells us that the number 1 multiply by any number gives the number itself. The number 1 is called the "multiplicative identity."
Ex. a +0 = a
a.1 = a
5. Additive Inverse: The additive inverse of a number ‘a’ is the number that when added to ‘a’, yields zero. This number is also known as the opposite (number), sign change, and negation.
Ex. a + (-a) = 0.
6. Multiplicative Inverse: It is reciprocal of a, denoted 1/a or a-1.
Ex. a.1/a = 1
7. Additive Inverse: In this property, reverses the sign only.
Ex. a+ (-a) = 0.
Divisibility Rules: Divisibility means that you are able to divide a number evenly without using the long division.
Divisibility by 2: When the unit place digit of any number is 0,2,4,6 or 8 then the number is divisible by 2.
Ex. 10, 12, 1324, 13564, 434432, 9429372, etc.
Divisibility by 3: When the sum of digits of a number is divisible by 3 then the number is also divisible by 3.
Ex. 465981: 4+6+5+9+8+1= 33, which is divisible by 3, so 465981 must be divisible by 3.
Divisibility by 4: When the number formed by the last two digits of given number is divisible by 4 or it must be two or more zeros then the number is divisible by 4.
Ex.448, 1428, 33700, 4387920, etc.
Divisibility by 5: When the last digit of any number is either ‘5’ or ‘0’ is divided by 5.
Ex. 6742735, 3749370, 27629345, etc.
Divisibility by 6: When the number is divisible by 2 and 3 both then the number must be divisible by 6.
Ex. 356478, 82458474, 73834626, are divisible by 6.
Divisibility by 7: When the difference between the number formed by the digits other than the units digit and twice the units digit is either 0 or multiple of 7.
Ex. 798 is divisible by 7 because 79-2x8=79-16=63 is divisible by 7 and 798 is also divisible by 7.
Divisibility by 8: When the number formed by the last three digits of given number is divisible by 8 or it must be three or more zeros then the number is divisible by 8.
Ex. 848, 10128,323000, 438720, etc.
Divisibility by 9: When the sum of digits of a number is divisible by 9 then the number is also divisible by 9.
Ex. 39469581: 3+9+4+6+9+5+8+1= 45, which is divisible by 9, so 39469581 must be divisible by 9.
Divisibility by 11: When the sum of digits at odd and even places is equal or differs by a number divisible by 11, then the number is divisible by 11.
Ex. 7004844 is divisible by 11, since
(Sum of digits at odd places) - (Sum of places at even places) = (7+0+8+4) - (0+4+4) = 19 - 8= 11.
