Practicing Success

Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

Number System (1)

Question:

Which of the following is correct for divisibility?

(A) A number is divisible by 6 if it is divisible by 3 or 2.

(B) A number is divisible by 5 if its unit digit is 0 or 5.

(C) A number is divisible by 3 if its unit digit is divisible by 3.

(D) A number is divisible by 4 if the number formed by its last two digits is divisible by 4.

Choose the correct answer from the options given below:

Options:

(A), (B) and (D) only

(B) and (D) only

(A), (C) and (D) only

(B) and (C) only

Correct Answer:

(B) and (D) only

Explanation:

The correct statements for divisibility are:

(A) A number is divisible by 6 if it is divisible by 3 and 2 both (Not by 3 or 2), because LCM of 2 and 3 is 6.

(B) A number is divisible by 5 if its unit digit is 0 or 5 = All numbers with last digit 5 and 0 are divisible by 5.

C) A number is divisible by 3 if sum of the digits of the number is divisible by 3 not the unit digit.

(D) A number is divisible by 4 if the number formed by its last two digits is divisible by 4 = Number is divisible by 4 if its last 2 digit are divisible by 4.

So, the correct answer is:

(B) and (D) only