What would replace \# in the sets ? \[ \{5,120,3\},\{9,630,5\},\{9,810, \#\}

General
1

What would replace # in the sets ? [ {5,120,3},{9,630,5},{9,810, #} ] (A) 8 (B) 7 C. 6

2

What would replace # in the sets? ({5,120,3},{9,630,5},{9,810,#})

To solve this, let’s examine the pattern in the given sets. We have:

  1. ({5,120,3})
  2. ({9,630,5})
  3. ({9,810,#})

Let’s look for a relationship between the numbers. Observe that:

  • In the first set: (5 \times 24 = 120) and (5 - 2 = 3)
  • In the second set: (9 \times 70 = 630) and (9 - 4 = 5)

Now, let’s apply the same pattern to the third set:

  • The multiplication step: (9 \times 90 = 810)
  • For subtraction: We have (9 - 2 = 7)

So, the number replacing (#) should be 7.

Summary: The number that replaces (#) is 7. Option B is correct.