Question

Find the greatest number of four digits which when divided by 10,11,15, and 22 leaves 3,4,8 and 15 as remainders?

• A. 9907
• B. 9903
• C. 9893
• D. 9903

Answer 1

The correct option is C 9893

Here its better to evaluate the options
a) 9907
When divided by 10, it leaves a remainder 7 but we want remainder 3. Thus out

b) 9903
When divided by 10, it leaves a remainder 3. ok
When divided by 11, it leaves a remainder 3 but we want remainder 4. Thus out

c) 9893
When divided by 10, it leaves a remainder 3. ok
When divided by 11, it leaves a remainder 4. ok
When divided by 15, it leaves a remainder 8. ok
When divided by 22, it leaves a remainder 15. ok
Answer(c)