find a number which when divided 46 gives 11 As quotent and 15 as remainder class 6
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Answer:
521
Step-by-step explanation:
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A number when divided by 4646 gives 1111 as quotient and 1515 as the remainder. The number is
A)491A)491
B)521B)521
C)701C)701
D)679D)679
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Hint: To solve this question we need to know the concept of writing dividend in terms of divisor, quotient and remainder. The formula used to solve this question will be Dividend = Divisor ×Quotient + RemainderDividend = Divisor ×Quotient + Remainder, we will be substituting the values in the formula and hence getting the dividend or the number being asked.
Complete step by step solution:
The question asks us to find the number or dividend which on being divided by 4646 gives a quotient as 1111 and remainder as 1515. To solve the problem we will substitute the value in the formula Dividend = Divisor ×Quotient + RemainderDividend = Divisor ×Quotient + Remainder. On analysing the problem, we see that the divisor is 4646, quotient as 1111and the remainder is 1515. On substituting the value in the formula below formula we get:
⇒Dividend = Divisor ×Quotient + Remainder⇒Dividend = Divisor ×Quotient + Remainder
⇒Dividend = 46×11+15⇒Dividend = 46×11+15
The above expression will be solved using the BODMAS Rule, according to which the multiplication of the numbers will be done prior to that of the addition in the given expression. So on applying the same rule in the above expression we get:
⇒Dividend = 506+15⇒Dividend = 506+15
Now we will add the terms which will result in:
⇒Dividend = 521⇒Dividend = 521
Dividend is the number which is being asked in the question.
∴∴ A number when divided by 4646 gives 1111 as quotient and 1515 as the remainder.
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