Question

DO 18. A number when divided by 7 leaves a remainder 3 and the resulting quotient, when divided by 11 leaves a remainder 6. If the same number when divided by 11 leaves a remainder m and the resulting quotient when divided by 7 leaves a remainder n. What are the values of m and n.

Railway Exams

Maths

Solution

238

4.0 (1 ratings)

( N=7 x+3 ) in ( frac{x}{11} ) leaver a xemain den of ( b ) Smallut value ob ( x ) is 6 Dthu values of ( x=17, .28 ) bon ( x=6, quad N=45 ) ( frac{N}{11} ) leare Rem. ( m ) ( frac{N}{11} Rightarrow p_{n}=4 times 11+quad 45=4 times 11+1 ) ( M=1 ) Quoticut ( varepsilon frac{4}{7}=0+4 cdot ) des ( : cdot n=4 )