Generalised form of a 3-digit number abc is

1

(a)

a+ b + c

(b)

100a+10b+c

(c)

100c+10b+a

(d)

100b+10a+c

If 5A + 15 is equal to B3. Then, the value of A+B is

1

(a)

15

(b)

16

(c)

8

(d)

7

If the sum of digits of a number is divisible by three, then the number is always divisible by

1

(a)

2

(b)

3

(c)

6

(d)

9

3134673 is divisible by 3 and __________

1

(a)

9

If A x 3 =1A ,then A = __________

1

(a)

5

The difference of a 2-digit number and the number obtained by reversing its digits is always divisible by _________

1

(a)

9

A 3-digit number abc is divisible by 6. If c is an even number, then a + b + c is a multiple of 3.

1

(a) False

(b) True

If 213x 27 is divisible by 9, then the value of x is 0.

1

(a) True

(b) False

If AB + 7C = 102, where B \(\neq\) 0, C \(\neq\) 0, then A + B + C =14.

1

(a) False

(b) True

A 3-digit number abc is divisible by 5 if c is an even number

1

(a) True

(b) False

Write the following in the usual form: 100 x 7 + 10 x 1 + 8

2

(a)

Write the following number in generalised form: 139

2

(a)

Write the following number in usual form: 100 x 6 + 10 x 6 + 6

2

(a)

Find the values of the letters in each of the following and give reasons for the steps involved. \(\begin{matrix} \quad \quad A\quad B \\ \quad \times \quad 5 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ C\quad A\quad B \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

3

(a)

A 2-digit number exceeds the sum of the digits of that number by 18. If the digits at the unit's place is double the digit at the tens place, find the number.

3

(a)

Find the values of A and B in the following product:
\(\begin{matrix} B\ A\\ \times \ 3\\ \_\_\_\_\_ \\10\ A\\ \_\_\_\_\_ \end{matrix}\)

3

(a)

Write a 2-digit number ab and the number obtained by reversing its digits, i.e. ba. Find their sum. Let the sum be a 3-digit number dad
i.e. ab + ba = dad
(10a + b) + (10b + a) = dad
11(a+ b) = dad
The sum a + b cannot exceed 18 (why?).
Is dad a multiple of 11?
Is dad less than 198?
Write all the 3-digit numbers which are multiples of 11 up to 198. Find the values of a and d.

5

(a)