Question

Without doing actual division, which of the following is divisible by the second number
A.3 402: 4 B.7 218: 8 C.9 632: 11 D.5808: 12

Answer 1

Answer:

D

Step-by-step explanation:

by using divisibility rule

A)the last two digits must be devided by 4

B) the last two digits divisibe by 4 and 2

C) the sum of numbers is divisble by 11

D)the last 3 digits must be divided by 3 and 4

so only option D is satishfies this rule so Option D is correct answer

hope you like it

mark it as Brainliest answer

Answer 2

Solution :-

Checking all given options we get,

A) 3402 : 4

→ Divisibility rule of 4 :- if last two digits are divisible by 4, the given number is also divisible by 4 .

checking ,

→ 3402 = Last two digits are 02 .

→ 02 ÷ 4 = Remainder 2 .

Since remainder is not equal to zero . Therefore, 3402 is not divisible by 4.

B) 7218 : 8

→ Divisibility rule of 8 :- if last three digits are divisible by 8, the given number is also divisible by 8 .

checking ,

→ 7218 = Last three digits are 218 .

→ 218 ÷ 8 = Remainder 2 .

Since remainder is not equal to zero . Therefore, 7218 is not divisible by 8.

C) 9632 : 11

→ Divisibility rule of 11 :- If difference between sum of even places digits and odd place digits is equal to 0 or multiple of 11 , the given number is divisible by 11 .

checking,

→ 9632

→ (9 + 3) - (6 + 2)

→ 12 - 8

→ 4

since difference is not equal to 0 or multiple of 11 , the given number is not divisible by 11 .

D) 5808 : 12

→ Divisibility rule of 12 :- if last two digits are divisible by 4 and sum of all digits is divisible by 3 , the given number is divisible by 12 .

checking,

→ 5808 = Last two digits 08

→ 08 ÷ 4 = Remainder 0

and,

→ (5 + 8 + 0 + 8) ÷ 3

→ 21 ÷ 3 = Remainder 0

Since the given number is divisible by 3 and 4 both . Therefore, the given number is divisible by 12 .

Hence, Option (D) 5808 : 12 is correct answer .

Learn more :-

if a nine digit number 260A4B596 is divisible by 33, Then find the number of possible values of A.

https://brainly.in/question/32686002

if n is an integer such that 1nn352 is a six digit number

https://brainly.in/question/26617043