When the integer n is divided by 4. the quotient is p and the remainder is 1 but when it is divided by 6 the quotient is q and the remainder is 5. The value of 3q - 2p is
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (- 2)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
Solution:
When n is divided by 4: n = 4p + 1
When n is divided by 6: n = 6q + 5
Since both expressions are equal
4p + 1 = 6q + 5
⇒ 4p - 6q = 4
⇒ 2p - 3q = 2
⇒ - 2p + 3q = - 2
Therefore, 3q - 2p = - 2