b: N is the smallest number greater than 500 which leaves remainder of 3 and 6 when divided by 5 and 8 respectively. Find the last digit of the number N
Answers
The Required Number is 518
Step-by-step explanation:
- This question can be solved by Hit-and-Trial Method.
- Divisibility Test of 8-Last three digits of a number should be divisible by 8
- Divisibility Test of 5-Last digit of a number should be 0 or 5.
- The least number that is greater than 500 and is divisible by 8 is 504.
- So, if we need a remainder 6,then the number willl be (504+6)i.e,510.
- But when we divide 510 by 5 ,it does not leaves any remainder.
- So,the next number which will leave a remainder 6 will be (510+8)i.e,518
- Since,510 leaves a remainder 6 when divided by 8 then a number (510+8) will also leave a remainder 6 when divided by 8 and also leaves a remainder 3 when divided by 5.
- Therefore,the required number is 518.
B:N is the smallest number greater than 500 which leaves remainder of 3 and 6 when divided by 5 and 8 respectively. the last digit of the number N=8.
Stepwise explanation is given below:
- It can be solved by Hit-and-Trial Method.
Divisibility Test of 5-Last digit of a number should be 0 or 5. Divisibility Test of 8-Last three digits of a number should be divisible by 8.
- The least number that is greater than 500 and is divisible by 8 is 504. So, if we need a remainder 6,then the number willl be (504+6)i.e,510. But when we divide 510 by 5 ,it does not leaves any remainder.
So,the next number which will leave a remainder 6 will be (510+8)i.e,518.
- As, 510 leaves a remainder 6 when divided by 8 then a number (510+8) will also leave a remainder 6 when divided by 8 and also leaves a remainder 3 when divided by 5.
- So, the required number is 518.