7248 is divisible by:
7248 is divisible by:
The correct options are
A 4
D 3
(i) A number is divisible by 4 only when the number formed by its last two digits( i.e., tens and one's digits) is divisible by 4.The number 7248 has 48 in the units and ten;s place. The last two digits are 48, which is exactly divisible by 4.
(ii) A number is divisible by 5 if its unit's digit is either 0 or 5 . Hence the number 7248 has not divisible by 5.
(iii) A number is divisible by 11, if the difference between the sum of the digits in the odd places and even places is either divisible by 11 or equal to 0 ,
Here , digit sum of the digit in the odd places = 7 + 4 = 11 and sum of the digits in even places = 8 + 2 = 10 , the difference is not equal to 0 nor is divisible by 11
Hene 7248 is not divisible by 11
(iv) A number is divisible by 3 only when the sum of its digits is divisible by 3.I n 7248, 7 + 2 +4 + 8 = 21, 21 is divisible by 3, hence 7248 is divisible by 3.
A
4
D
3
(i) A number is divisible by 4 only when the number formed by its last two digits( i.e., tens and one's digits) is divisible by 4.The number 7248 has 48 in the units and ten;s place. The last two digits are 48, which is exactly divisible by 4.
(ii) A number is divisible by 5 if its unit's digit is either 0 or 5 . Hence the number 7248 has not divisible by 5.
(iii) A number is divisible by 11, if the difference between the sum of the digits in the odd places and even places is either divisible by 11 or equal to 0 ,
Here , digit sum of the digit in the odd places = 7 + 4 = 11 and sum of the digits in even places = 8 + 2 = 10 , the difference is not equal to 0 nor is divisible by 11
Hene 7248 is not divisible by 11
(iv) A number is divisible by 3 only when the sum of its digits is divisible by 3.I n 7248, 7 + 2 +4 + 8 = 21, 21 is divisible by 3, hence 7248 is divisible by 3.
