Q.

The sum of the squares of two consecutive odd numbers is 394. Find the product of two


numbers.


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a

185

b

190

c

195

d

200 

answer is C.

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Detailed Solution

Concep- The difference between the odd consecutive numbers would be two. To make calculations easier, first assume two numbers that depend on each other, such as Question Image which depends on Question Image. Then, using the given condition, determine the variable's value. Then we need to multiply two numbers.
Consider the two consecutive odd number as Question Image and Question Image.
According to the question,
Question ImageBy perfect square formula,
Question ImageAdding like terms,
Question ImageDivide both sides by 2,
Question ImageRewrite the terms as,
Question ImageFactor out the common term,
Question ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageQuestion ImageHence, the correct answer is option 3.
 
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