Question

if 5005=a×b×c×d,a b c d are positive integers what is the value of c?a)5 b)11 c)13 d)7​

Answer 1

The required 'option b) 11' is correct.

Step-by-step explanation:

We have,

5005 = a × b × c × d         ....... (1)

Where, a b c d are positive integers

To find, the value of c = ?

∴ 5005 = 5 × 1001

= 5× 7 × 143

= 5 × 7 × 11 × 13

Now, equation (1) becomes, we get

5005 = a × b × c × d = 5 × 7 × 11 × 13

⇒  a × b × c × d = 5 × 7 × 11 × 13

Comaring both sides, we get

a = 5, b = 7, c = 11 and d = 13

∴ The value of c = 11

Thus, the required 'option b) 11' is correct.

Answer 2

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