Question

find the largest 3-digit number which gives remainder 1 and 5 when divided by 5 and 8 respectively​

Answer 1

Answer:

ans -981

Step-by-step explanation:

981÷5 =1

its quotient will be 196

981÷8 =5

its quotient will be 122

Answer 2

Answer:

981 is the largest 3-digit number which gives remainder 1 and 5 when divided by 5 and 8 respectively​.

To find:

The find the largest 3-digit number which gives remainder 1 and 5 when divided by 5 and 8  

Solution:

LCM of 5 and 8 is 40

The largest number which is a multiple of 40 is 960

When divided by 5 leaves a remainder 1 and by 8 leaves 5

Between 960 to 999 the numbers which leaves a remainder 5 when divided by 8 are  965, 973, 981, 989, 997

Among these numbers 981 is the number which satisfies both the criteria.

Result:

981 is the number which satisfies both the criteria.