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2 Answers

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$a,b \to odd$

$c \to even$

if we take difference of  a odd and a even then we get odd number for example 2-5=3

if we take square of odd number then we get odd numer for example $3^{2}$=9

if we multiply a odd and even then we will get a even for example 9* 2=18

if we multiply a odd and odd then we will get a even for example 9*3=27

for the given problem let say a=3, b=5, c=6

$\left ( a \right )\left ( 3-6 \right )^{2}\left ( 5-3 \right )=18\rightarrow even$

$\left ( b \right )\left ( 3-6 \right )^{2}\left ( 5 \right )=45\rightarrow odd$

$\left ( c \right )\left ( 3-6 \right )\left ( 5-6 \right )=3\rightarrow odd$

$\left ( d \right )\left ( 3-5 \right )^{2}\left ( 6 \right )=24\rightarrow even$

all options are correct

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a,b are ODD
c  is EVEN

  • ODD-EVEN      => ODD
  • ODD-ODD       => EVEN
  • ODD * ODD     => ODD
  • ODD * EVEN   => EVEN
  1. (ODD-EVEN)2 EVEN  is EVEN  True
  2. (ODD-EVEN)2 ODD   is ODD True
  3. ODD * ODD is ODD  True
  4. EVEN*EVEN is EVEN True

I think all are True .

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