On dividing a number by 4, the remainder is 2. The quotient so obtained when divided by 5, leaves the remainder 3. Now the quotient so obtained when divided by 6, leaves the remainder 5. The last quotient is 7. The number was
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1/2/4/3/
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Start from the last part of the problem. Let Q1 =7. We will call quotients Q2, Q3 and Q4 as we work back.
Q2 when divided by 6 leaves reminder 5 and quotient Q1 =7 => Q2=7*6 + 5 = 47
Q3 when divided by 5, leaves quotient Q2=47 and reminder of 3, so Q3 = 5*47 + 3 = 238
Similarly Q4=238*4 + 2 = 954 is the answer
Step-by-step explanation:
Let the number be n. Then
n =4a+2.
a=5b+3.
b=6*7 +5 =47.
Hence a=5*47 +3 = 238.
Finally n=4*238 +2 = 954.
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