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Q.

What is the product of two consecutive odd numbers 31×33  ?


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a

1024

b

1023

c

1025

d

1043 

answer is B.

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Detailed Solution

It is required to find the product of two consecutive odd numbers 31×33  .
The result of two successive natural numbers that are odd or even is n 2 1  .
The numbers given are consecutive odd natural numbers of the type (n-1), (n+1),
where n = 32.
Hence the required product,
31×32 32 2 1 10241 1023   Hence, the product of two consecutive odd numbers 31×33   is 1023.
Therefore, option 2 is correct.
 
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