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Answer:
Option(D)
Step-by-step explanation:
We have,
Divisor = a, Dividend = b.
(i) Divisor is 4 times Quotient.
Quotient = (a/4).
(ii) Divisor is twice the remainder.
Remainder = (a/2)
By Division algorithm, we have
∴ Dividend = Divisor * Quotient + Remainder
⇒ b = a * (a/4) + (a/2)
⇒ b = (a²/4) + (a/2)
⇒ b = (a² + 2a)/4
⇒ 4b = a(a + 2)
⇒ 4 = a(a + 2)/b
Hope it helps!
arnavpandita1:
Thanks a ton
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