On dividing a number by 53 we get 8 as quotient and 5 as remainder. The number is

Options

A. 419
B. 423
C. 429
D. none of these

Answer

To find the number when dividing by 53 gives a quotient of 8 and a remainder of 5, we can use the division algorithm formula:

**Step 1: Understand the formula**
The division algorithm states:
\[ \text{Dividend} = \text{Divisor} \times \text{Quotient} + \text{Remainder} \]

**Step 2: Identify the known values**
From the question:
- Divisor = 53
- Quotient = 8
- Remainder = 5

**Step 3: Set up the equation**
Let the dividend be \( x \). According to the formula:
\[ x = 53 \times 8 + 5 \]

**Step 4: Perform the multiplication**
Calculate \( 53 \times 8 \):
\[ 53 \times 8 = 424 \]

**Step 5: Add the remainder**
Now, add the remainder to the product:
\[ x = 424 + 5 = 429 \]

**Step 6: State the final answer**
Thus, the number (dividend) is:
\[ \text{The number is } 429. \]

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