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What will come in the place of question mark (?) in following questions?
`6305 xx 25/65`=?

A

2542

B

2524

C

2425

D

2254

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question \( 6305 \times \frac{25}{65} = ? \), we can follow these steps: ### Step 1: Simplify the fraction First, we can simplify the fraction \( \frac{25}{65} \). \[ \frac{25}{65} = \frac{25 \div 5}{65 \div 5} = \frac{5}{13} \] ### Step 2: Rewrite the expression Now we can rewrite the original expression using the simplified fraction: \[ 6305 \times \frac{25}{65} = 6305 \times \frac{5}{13} \] ### Step 3: Perform the multiplication Next, we can multiply \( 6305 \) by \( 5 \): \[ 6305 \times 5 = 31525 \] ### Step 4: Divide by 13 Now, we need to divide \( 31525 \) by \( 13 \): \[ 31525 \div 13 \] To perform this division, we can calculate: 1. \( 13 \) goes into \( 31 \) two times (as \( 13 \times 2 = 26 \)). 2. Subtract \( 26 \) from \( 31 \) to get \( 5 \). 3. Bring down the next digit \( 5 \) to make \( 55 \). 4. \( 13 \) goes into \( 55 \) four times (as \( 13 \times 4 = 52 \)). 5. Subtract \( 52 \) from \( 55 \) to get \( 3 \). 6. Bring down the next digit \( 2 \) to make \( 32 \). 7. \( 13 \) goes into \( 32 \) two times (as \( 13 \times 2 = 26 \)). 8. Subtract \( 26 \) from \( 32 \) to get \( 6 \). 9. Bring down the last digit \( 5 \) to make \( 65 \). 10. \( 13 \) goes into \( 65 \) five times (as \( 13 \times 5 = 65 \)). 11. Subtract \( 65 \) from \( 65 \) to get \( 0 \). Thus, \( 31525 \div 13 = 2425 \). ### Final Answer Therefore, the value that comes in place of the question mark is: \[ \boxed{2425} \]
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