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The divisor is 50 times the quotient and 10 times the remainder. If the quotient is 32, what is the dividend?
- a)51000
- b)51360
- c)61000
- d)61520
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
The divisor is 50 times the quotient and 10 times the remainder. If th...
Let the divisor be x
Quotient = x/50
Remainder = x/10
x/50 = 32 ⇒ x = 1600
The number/dividend is (Divisor × Quotient) + Remainder
Number = x2/50 + x/10
Dividend = (16002/50) + 1600/10 = 51360
Most Upvoted Answer
The divisor is 50 times the quotient and 10 times the remainder. If th...
Given Information:
- Divisor = 50 * Quotient
- Divisor = 10 * Remainder
- Quotient = 32
Calculation:
Let's assume the divisor is D, quotient is Q, remainder is R, and dividend is X.
1. Divisor = 50 * Quotient
D = 50Q
2. Divisor = 10 * Remainder
D = 10R
3. Dividend = Divisor * Quotient + Remainder
X = D * Q + R
X = 50Q * Q + R
X = 50Q^2 + R
Given that Q = 32, we can substitute Q = 32 into the equation:
X = 50 * 32^2 + R
X = 50 * 1024 + R
X = 51200 + R
Since the divisor is 10 times the remainder, we can write:
D = 10R
50Q = 10R
R = 5Q
R = 5 * 32
R = 160
Substitute R = 160 back into the equation for X:
X = 51200 + 160
X = 51360
Therefore, the dividend is 51360, which corresponds to option (b).
- Divisor = 50 * Quotient
- Divisor = 10 * Remainder
- Quotient = 32
Calculation:
Let's assume the divisor is D, quotient is Q, remainder is R, and dividend is X.
1. Divisor = 50 * Quotient
D = 50Q
2. Divisor = 10 * Remainder
D = 10R
3. Dividend = Divisor * Quotient + Remainder
X = D * Q + R
X = 50Q * Q + R
X = 50Q^2 + R
Given that Q = 32, we can substitute Q = 32 into the equation:
X = 50 * 32^2 + R
X = 50 * 1024 + R
X = 51200 + R
Since the divisor is 10 times the remainder, we can write:
D = 10R
50Q = 10R
R = 5Q
R = 5 * 32
R = 160
Substitute R = 160 back into the equation for X:
X = 51200 + 160
X = 51360
Therefore, the dividend is 51360, which corresponds to option (b).
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The divisor is 50 times the quotient and 10 times the remainder. If the quotient is 32, what is the dividend?a)51000b)51360c)61000d)61520Correct answer is option 'B'. Can you explain this answer?
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