Reversing the 3 Digit Numbers and Subtracting Them

Q.

Let $A$and $B$ be two sets. Then

1. $A\cup B\subseteq A\cap B$

2. $A\cap B\subseteq A\cup B$

3. $A\cap B=A\cup B$

4. None of these

Q. The difference between a 3 digit number and the number formed by reversing its digits is not always divisible by

1. 9
2. 11
3. 99
4. 5

Q. A six digit number is formed by repeating a threedigit number, e.g., 256256 or 678678. Any numberof this form is always divisible by

Q.

$\text{If a=b, show that abc=bac.}$

Q.

If YE × ME = TTT, find the numerical value of Y + E + M + T.

Q.

$Ifa>c;\text{show that}abc-cba=99(a-c)$

Q.

Consider a 3-digit number and reverse its digits. Find the difference between original and reversed number. By what numbers this difference is divisible? Select all that apply.

1. 9

2. 11

3. 5

4. 99

Q.

$Ifa=c,\text{show that}cba-abc=0.$

Q. Question 9

In the given question, out of four options, only one is correct. Write the correct answer.

If abc is a three-digit number, then number abc - a - b - c is divisible by
(a) 9
(b) 90
(c) 10
(d) 11

Q. Question 4

In the given question, out of four options, only one is correct. Write the correct answer.

Let abc be a three-digit number. Then, abc - cba is not divisible by
(a) 9
(b) 11
(c) 18
(d) 33

Q.

ABC is a 3-digit number and A - C = 2. The difference beween ABC and the number obtained by reversing its digits is ______.

1. 99
2. 199
3. 198
4. 98

Q.

If 'ABC', a 3 digit number is reversed then the sum of digits of the difference between the original and the reversed number will always be divisible by:

1. 99

2. 11

3. 9

4. All of these

Q. If all the numbers formed by rearranging the digits 4, 5 and 6 are added together, then the resultant number is divisible by 111 only. State true or false.

1. True
2. False

Q. Question 23

In the given question, fill in the blanks to make the statement true.

The difference of a three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___.

Q.

$Ifc>a;\text{show that}cba-abc=99(c-a).$

Q.

Show that 954 - 459 is exactly divisible by 99.

Q.

Question 4

If 31z5 is a multiple of 3, where z is a digit, what might be the values of z?

Q. abc is a three digit number. This three digit number is reversed and subtracted from the original number. The difference obtained is 396. Find (a-c).

Q. The sum of a 3 digit number a0b and the number formed by reversing its digit is always divisible by .

1. 111
2. 99
3. 101
4. 11

Q. Evaluate:
$\sqrt{14161}$

Q. Question 7

In the given question, out of four options, only one is correct. Write the correct answer.

Let abc be a three-digit number. Then, abc + bca + cab is not divisible by
(a) a + b + c
(b) 3
(c) 37
(d) 9

Q. Evaluate:
$\sqrt{1444}$

Q. Evaluate:
$\sqrt{576}$

Q. Evaluate:
$\sqrt{10404}$

Q.

If the difference between a 3-digit number abc and the number obtained by reversing its digits is divided by 11, the quotient obtained is always a multiple of ___.

1. 9
2. a + b
3. 11
4. a + c

Q. If a, b, c are digits, then match the the number which divides the given numbers.

1. 11
2. 99
3. 9
4. 111

Q. Question 23

In the given question, fill in the blanks to make the statement true.

The difference of a three-digit number and the number obtained by putting the digits in reverse order is always divisible by 9 and ___.

Q. Evaluate:
$\sqrt{7056}$

Q. The difference of 954 and 459 is exactly divisible by 99.

1. True
2. False

Q.

If the difference between a 3-digit number abc and the number obtained by reversing its digits is divided by 11, the quotient obtained is always a multiple of ___.

1. 9
2. a + b
3. 11
4. a + c