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In a division sum, the divisor is 5 times the quotient and 4 times the remainder. If the remainder is 5, what is the dividend?
- a)80
- b)85
- c)75
- d)104
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a division sum, the divisor is 5 times the quotient and 4 times the...
Given:
The divisor is 5 times the quotient
The divisor is 4 times the remainder
Remainder = 5
Formula Used:
Dividend = Divisor × Quotient + Remainder
Calculation:
Divisor = 4 × Remainder = 4 × 5 = 20
Divisor = 5 × Quotient
⇒ Quotient = 20/5 = 4
Dividend = Divisor × Quotient + Remainder
⇒ 20 × 4 + 5 = 85
Most Upvoted Answer
In a division sum, the divisor is 5 times the quotient and 4 times the...
Understanding the Problem
In this division sum, we have the following relationships:
- The divisor (D) is 5 times the quotient (Q).
- The divisor is also 4 times the remainder (R).
- The remainder (R) is given as 5.
Establishing Variables
From the information provided, we can express the relationships mathematically:
- R = 5 (given)
- D = 4 * R = 4 * 5 = 20
- D = 5 * Q
Using these relationships, we can solve for the quotient (Q).
Calculating the Quotient
Now, substituting the value of D into the equation:
- 20 = 5 * Q
Solving for Q:
- Q = 20 / 5 = 4
Finding the Dividend
The formula for the dividend (Div) in division is given by:
- Div = (Divisor * Quotient) + Remainder
Substituting the known values:
- Div = (20 * 4) + 5
- Div = 80 + 5
- Div = 85
Conclusion
Thus, the dividend is 85. Therefore, the correct answer is option 'B'.
In this division sum, we have the following relationships:
- The divisor (D) is 5 times the quotient (Q).
- The divisor is also 4 times the remainder (R).
- The remainder (R) is given as 5.
Establishing Variables
From the information provided, we can express the relationships mathematically:
- R = 5 (given)
- D = 4 * R = 4 * 5 = 20
- D = 5 * Q
Using these relationships, we can solve for the quotient (Q).
Calculating the Quotient
Now, substituting the value of D into the equation:
- 20 = 5 * Q
Solving for Q:
- Q = 20 / 5 = 4
Finding the Dividend
The formula for the dividend (Div) in division is given by:
- Div = (Divisor * Quotient) + Remainder
Substituting the known values:
- Div = (20 * 4) + 5
- Div = 80 + 5
- Div = 85
Conclusion
Thus, the dividend is 85. Therefore, the correct answer is option 'B'.
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In a division sum, the divisor is 5 times the quotient and 4 times the remainder. If the remainder is 5, what is the dividend?a)80b)85c)75d)104Correct answer is option 'B'. Can you explain this answer?
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