Question

2. A five-digit number is taken. Sum of the first four
digits (excluding the number at the units digit) equals
sum of all the five digits. Which of the following
will not divide this number necessarily?
(a) 10
(b) 2
(d) 5
(c) 4​

Answer 1

Step-by-step explanation:

A five-digit number is taken. Sum of the first four digits (excluding the number at the units digit) equals the sum of all the five digits. the following will not divide the number necessarily:

last digit must be 0

if divisible by 10 thenmust be divisible by 2 and 5

not sure for 4

Answer 2

Answer: (c) 4

A five-digit number is taken. The Sum of the first four digits (excluding the number at the units digit) equals the sum of all the five digits. Then, 4 will not divide this number necessarily.

Explanation:

Given:

The sum of the first four digits (excluding the number at the units digit) equals the sum of all the five digits.

To Find :

Which of the following will not divide this number necessarily

Solution:
For the condition,

The Sum of the first four digits (excluding the number at the units digit) equals the sum of all the five digits.

to be true we need to ensure that the last digit is 0

Thus the five-digit number is xxxx0.

Then the value of the first 4 digits and all 5 digits will be the same.

Therefore, as the number end with 0, it may not necessarily be divided by 4 as it contains both 2 and 2 as its multiple.

Not chosen part:
A number ending with 0 is always divided by 2, 5, and 10. But not necessarily by 4.

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