SSC CGL QUANT - DEDICATED

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ALL The Levels of questions and solutions will shared and analysed ( Basic. Moderate, Advance ) .

" Nothing comes easy !! "

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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

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Factors ## Mains


Find the sum of reciprocals of all factors of 496 .

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Factors ##


Find  the  total no of prime factors in 2 ^ 32  *   3 ^ 35

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NOTE ::   For remainder Involving divisors as ( squares)  , Binomial is  of great use .  _____/\____


Find the remainder when 8 ^ 14 is divided by 49

darkhorse
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debasiscat2013
@debasiscat2013  ·  1,133 karma

YEs sirji ___/\__


( 7+1) ^ 14 

all terms divisible 

7 * 14   +1  mod 49

so 1 _____/\__

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Remainders ##


Find the remainder obtained ( 2014)^ 2015  is divided by 121.

darkhorse
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debasiscat2013
@debasiscat2013  ·  1,133 karma

As guruji said above  :-p


else by binomial 

( 2013 +1) ^ 2015  mod 121


all terms will be divisible ,

except 2103 *  2015   +1   mod 121= 33+ 1= 34 

_____/\____

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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?

darkhorse
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Licchavi15
@Licchavi15  ·  7,241 karma
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Find the unit digit in 1123 ^ ( 162!)

darkhorse
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debasiscat2013
@debasiscat2013  ·  1,133 karma

N! >= 4   is  always a multiple of 4 


3^ ( 4k) = unit digit =1 

_____/\___

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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


________/\_____

darkhorse
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