Reversing the 2 Digit Numbers and Adding Them

Q.

For a 2 digit number ab, ab - ba is divisible by 11.

1. True

2. False

Q. A four digit number abcd is divisible by 11 if only
A.(a+b)-(c+d) is divisible by 11
B.(a-c)-(b-d) is divisible by 11
C.(a-c)-(b+d) is divisible by 11
D.(b+d)-(a+c) is divisible by 11
The coerrect answer is 'D' but how?

Q.

Write the quotient when the sum of 73 and 37 is divided by

(i) 11 (ii) 10

Q.

The sum of a three digit number and the number formed by the reversing its digits (if the middle digit is 0) is always divisible by 101

1. 12

2. 11

Q. Question 21

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

The sum of a two-digit number and the number obtained by reversing the digits is always divisible by ___.

Q. Select the correct option among the following.

1. Dividend = Divisor + Quotient + Remainder
2. Dividend = Divisor × Quotient + Remainder
   
3. Dividend = Divisor × Quotient × Remainder
   
4. Dividend = Divisor × Quotient - Remainder

Q.

Write the quotient when the sum of 94 and 49 is divided by

(i) 11 (ii) 13

Q.

There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by

1. 3

2. 4

3. 6

4. 12

Q. A two digit number ‘2P’ is a number which is divisible by 2 and 3, what is the value of P?

Q.

Simplify the following mathematical expression:

$124\times 13+16÷4$

Q.

$3x5$ is divisible by $9$ if the digit $x$ is __________.

Q. The sum of a two digit number and the number obtained by reversing its digits is always divisible by

1. 3
2. 9
3. 11

Q.

Fill in the blanks to make the statement true.

Division is the inverse operation of ____________.

Q.

There are 2 two digit numbers such that one has been obtained by reversing the digits of the other. On subtracting the smaller number from the larger number, I get a number divisible by

1. 3

2. 4

3. 6

4. 9

Q.

The sum of 75 and the number obtained by reversing its digits is divisible by 4 and 11

1. True

2. False

Q. The selection board of a team purchased 'xy' number of boots for the players. They again purchased 'yx' number of boots and distributed all of them to the players equally. If there were 11 players, then find the number of boots each of them received.

1. (x + y)
2. (x - y)
3. 20(x + y)
4. 11(x + y)

Q.

Find the least number which should be added to $29000$ so that the sum is exactly divisible by $192.$

Q. ab is a two digit number whose sum of the digits is 12 . The number obtained by subtracting ab from the number obtained after reversing the digits is 54. Find the number.

1. 39
2. 93
3. 84
4. 48

Q.

Find the value of A , if 42A8 is divisible by 4

1. 3

2. 4

3. 6

4. 12

Q.

Aarush asked Soham to take any 2 or 3 digit number and reverse the digits, then subtract the larger number from the smaller number. Soham did the same and concluded that the result is exactly divisible by 9. What Soham concluded is:

1. True

2. False

Q. The sum of a two-digit number and the number obtained by reversing its digits is not divisible by 11.

1. True
2. False

Q.

Is it possible to have the adjacent multiplication table? Give reasons.

Q. The sum of 15 and 51 is divisible by 11 and

1. 6
2. 7
3. 9

Q.

If the sum of a 2-digit number ab and the number obtained by reversing its digits is divided by 11, the remainder is ___.

1. 2

2. 1

3. 0

4. 11

Q. abc is a three digit number such that b = 5 and a - c = 2 . Sum of abc and the number obtained after reversing the digits is 606 . Find the number.

1. 755
2. 654
3. 452
4. 553

Q.

The sum of a two-digit number and the number obtained by reversing the digits is always divisible by

1. 3

2. 4

3. 9

4. 11

Q. The sum of a two-digit number and the number obtained by reversing its digits is not divisible by 11.

1. True
2. False

Q.

if a/6=1 then a=

1. 1

2. 0

3. 6

4. 1/6

Q.

Find the values of the letters in the following and give reasons for the steps involved.

Q. Check whether 273432 is divisible by ‘6’ or not?