ALL The Levels of questions and solutions will shared and analysed ( Basic. Moderate, Advance ) .
" Nothing comes easy !! "
Shortcut1::
A trader marks his goods P% above the cost price and allows a discount of q% .
Then the net profit or loss % =
P - Q -( PQ/100)
If the result is positive = profit %
If the result is negative= Loss%
Shortcut 2::
Discount offers --->
Buy "x" get " y ' free.
Total discount = y/(x+y) * 100
________/\_____
Find the unit digit in 1123 ^ ( 162!)
There are 4 products
A:: buy 3 get 1 free
B:: buy 4 get 1 free
C:: buy 1 , get 50% off on the 2nd
D:: buy 5 get 2 free
Which product has the maximum discount offer?
Remainders ##
Find the remainder obtained ( 2014)^ 2015 is divided by 121.
NOTE :: For remainder Involving divisors as ( squares) , Binomial is of great use . _____/\____
Find the remainder when 8 ^ 14 is divided by 49
Factors ##
Find the total no of prime factors in 2 ^ 32 * 3 ^ 35
Factors ## Mains
Find the sum of reciprocals of all factors of 496 .
NOTE :;
FINDING REMAINDER WITH 9 is SAME AS FIINDING THE DIGITAL ROOT OF THE QTY.
Ex : Find the remiander when 1111111^5 is divided by 9
digital root= 7^5 = 49 * 49 * 7= 4* 4* 7 =4
remiander = 4