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The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is:
- a)6400
- b)6480
- c)480
- d)960
Correct answer is option 'B'. Can you explain this answer?
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The divisor is 25 times the quotient and 5 times the remainder. If th...
To solve this problem, we are given that the divisor is 25 times the quotient and 5 times the remainder. We are also given that the quotient is 16. We need to find the dividend.
Let's assume the divisor is D, the quotient is Q, the remainder is R, and the dividend is N.
According to the given information:
D = 25Q ...(1)
D = 5R ...(2)
Q = 16 ...(3)
Substituting the value of Q from equation (3) into equation (1), we get:
D = 25(16)
D = 400
Substituting the value of D from equation (2) into equation (1), we get:
400 = 5R
R = 400/5
R = 80
Now, we can use the formula to find the dividend:
N = DQ + R
Substituting the values of D, Q, and R into the formula, we get:
N = 400(16) + 80
N = 6400 + 80
N = 6480
Therefore, the dividend is 6480. Hence, option B is the correct answer.
Key Points:
- Divisor = 25 times the quotient (D = 25Q)
- Divisor = 5 times the remainder (D = 5R)
- Quotient = 16 (Q = 16)
- Substituting the values, we find divisor D = 400 and remainder R = 80
- Using the formula for finding the dividend, N = DQ + R, we substitute the values and find the dividend as 6480.
Let's assume the divisor is D, the quotient is Q, the remainder is R, and the dividend is N.
According to the given information:
D = 25Q ...(1)
D = 5R ...(2)
Q = 16 ...(3)
Substituting the value of Q from equation (3) into equation (1), we get:
D = 25(16)
D = 400
Substituting the value of D from equation (2) into equation (1), we get:
400 = 5R
R = 400/5
R = 80
Now, we can use the formula to find the dividend:
N = DQ + R
Substituting the values of D, Q, and R into the formula, we get:
N = 400(16) + 80
N = 6400 + 80
N = 6480
Therefore, the dividend is 6480. Hence, option B is the correct answer.
Key Points:
- Divisor = 25 times the quotient (D = 25Q)
- Divisor = 5 times the remainder (D = 5R)
- Quotient = 16 (Q = 16)
- Substituting the values, we find divisor D = 400 and remainder R = 80
- Using the formula for finding the dividend, N = DQ + R, we substitute the values and find the dividend as 6480.
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Community Answer
The divisor is 25 times the quotient and 5 times the remainder. If th...
From given data-
Quotient is 16 and the divisor is 25 times the quotient.
⇒ Divisor = 25 × 16 = 400
Also, divisor is 5 times the remainder
⇒ Remainder = divisor/ 5
= 400/5 = 80
We know that,
Dividend = quotient × divisor + remainder
⇒ Dividend = 16 × 400 + 80
= 6480
Hence, the correct option is (B).
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The divisor is 25 times the quotient and 5 times the remainder. If the quotient is 16, the dividend is:a)6400b)6480c)480d)960Correct answer is option 'B'. Can you explain this answer?
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