Question

How many numbers divisible by 132:
264, 396, 462, 792, 968, 2178, 5184, 6336

• A. 4
• B. 5
• C. 6
• D. 7

Hint:

To check divisibility quickly, divide the number mentally by the divisor and see whether the result is a whole number.

Answer 1

The Correct Option is C

Step 1: Understanding the Question:
We need to find how many numbers in the given list are exactly divisible by \(132\).
Given numbers: \[ 264,\ 396,\ 462,\ 792,\ 968,\ 2178,\ 5184,\ 6336 \]

Step 2: Key Formula or Approach:
A number is divisible by \(132\) if: \[ \frac{\text{Number}}{132} \] gives a whole number (integer).

Step 3: Detailed Explanation:
Check each number one by one: \[ 264 \div 132 = 2 \] Divisible.
\[ 396 \div 132 = 3 \] Divisible.
\[ 462 \div 132 = 3.5 \] Not divisible.
\[ 792 \div 132 = 6 \] Divisible.
\[ 968 \div 132 \neq \text{integer} \] Not divisible.
\[ 2178 \div 132 = 16.5 \] Not divisible.
\[ 5184 \div 132 \approx 39.27 \] Not divisible.
\[ 6336 \div 132 = 48 \] Divisible.
Thus, divisible numbers are: \[ 264,\ 396,\ 792,\ 6336 \] Total numbers divisible by \(132\): \[ 4 \]

Step 4: Final Answer:
The required count is: \[ \boxed{4} \] Hence, the correct option is: \[ \boxed{\text{(A) 4}} \]