3134673 is divisible by 3 and __________

1

(a)

9

The sum of a 2-digit number and the number obtained by reversing the digits is always divisible by ___________

1

(a)

11

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

1

(a)

5

A 4-digit number abcd is divisible by 11, if d + b = _________ or _________

1

(a)

(a+c) or 12(a+c)

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

1

(a)

9

If a number a is divisible by b, then it must be divisible by each factor of b.

1

(a) False

(b) True

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: 10 x 5 + 6

2

(a)

Check the divisibility of the following number by 2. 98

2

(a)

Check the divisibility of the following number by 3. 108

2

(a)

If the number 253z is divisible by 4, where z is the unit's digit, find all the possible values of z.

2

(a)

Without division state, whether the given number is divisible by 2 or not. 2248

2

(a)

Find the values of the letters in each of the following and give reasons for the steps involved.\(\begin{matrix} \quad 4\quad A \\ +\quad 9\quad 8 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ \quad C\quad B\quad 3 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

4

(a)

If 1y3y6 is divisible by 11, then find the value of y.

4

(a)

If 27x is a multiple of 3 and x is a digit then find the value of x.

4

(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.

4

(a)

Find the values of A, B, and C, if \(\begin{matrix} \quad \quad 4\ 5\ A \\ -\quad C\ B\ 7 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \\ \ \quad2\ 8\ 4 \\ \_ \_ \_ \_ \_ \_ \_ \_ \_ \_ \end{matrix}\)

4

(a)

Is it possible to have a right circular cylinder to have volume numerically equal to its curved surface area? If yes state when. 

5

(a)